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Publications

Publications

2022

  • Boegelein V., Duzaar F., Marcellini P., Scheven C.:
    Boundary regularity for elliptic systems with p, q-growth
    In: Journal De Mathematiques Pures Et Appliquees 159 (2022), p. 250-293
    ISSN: 0021-7824
    DOI: 10.1016/j.matpur.2021.12.004
  • Bögelein V., Duzaar F., Giova R., Passarelli di Napoli A.:
    Higher regularity in congested traffic dynamics
    In: Mathematische Annalen (2022)
    ISSN: 0025-5831
    DOI: 10.1007/s00208-022-02375-y
  • Bögelein V., Duzaar F., Liao N., Scheven C.:
    Boundary regularity for parabolic systems in convex domains
    In: Journal of the London Mathematical Society-Second Series (2022)
    ISSN: 0024-6107
    DOI: 10.1112/jlms.12545
  • Bögelein V., Duzaar F., Liao N., Scheven C.:
    Gradient Hölder regularity for degenerate parabolic systems
    In: Nonlinear Analysis - Theory Methods & Applications 225 (2022), Article No.: 113119
    ISSN: 0362-546X
    DOI: 10.1016/j.na.2022.113119

2021

  • Bögelein V., Duzaar F., Liao N.:
    On the Hölder regularity of signed solutions to a doubly nonlinear equation
    In: Journal of Functional Analysis 281 (2021), Article No.: 109173
    ISSN: 0022-1236
    DOI: 10.1016/j.jfa.2021.109173

2020

  • Bogelein V., Dacorogna B., Duzaar F., Marcellini P., Scheven C.:
    Integral convexity and parabolic systems
    In: SIAM Journal on Mathematical Analysis 52 (2020), p. 1489-1525
    ISSN: 0036-1410
    DOI: 10.1137/19M1287870
  • Bögelein V., Duzaar F., Kinnunen J., Scheven C.:
    Higher integrability for doubly nonlinear parabolic systems
    In: Journal De Mathematiques Pures Et Appliquees 9 (2020), p. 31–72
    ISSN: 0021-7824
    DOI: 10.1016/j.matpur.2020.06.009
    URL: https://arxiv.org/abs/1810.06039

2019

  • Agricola I., Bögelein V., Duzaar F.:
    In memoriam Thomas Friedrich (1949–2018).
    In: Annals of Global Analysis and Geometry 56 (2019), p. 613-630
    ISSN: 0232-704X
    DOI: 10.1007/s10455-019-09692-7
    URL: https://link.springer.com/article/10.1007/s10455-019-09692-7
  • Bögelein V., Duzaar F., Scheven C.:
    Higher integrability for the singular porous medium system
    In: Journal für die reine und angewandte Mathematik (2019), p. 203-230
    ISSN: 0075-4102
    DOI: 10.1515/crelle-2019-0038
    URL: https://www.degruyter.com/document/doi/10.1515/crelle-2019-0038/html
  • Bögelein V., Duzaar F., Schätzler L., Scheven C.:
    Existence for evolutionary problems with linear growth by stability methods
    In: Journal of Differential Equations 266 (2019), p. 7709-7748
    ISSN: 0022-0396
    DOI: 10.1016/j.jde.2018.12.012

2018

  • Bögelein V., Duzaar F., Korte R., Scheven C.:
    The higher integrability of weak solutions of porous medium systems
    In: Advances in Nonlinear Analysis (2018)
    ISSN: 2191-9496
    DOI: 10.1515/anona-2017-0270
    URL: https://www.degruyter.com/view/j/anona.ahead-of-print/anona-2017-0270/anona-2017-0270.xml
  • Bögelein V., Duzaar F., Marcellini P., Scheven C.:
    A variational approach to doubly nonlinear equations
    In: Rendiconti Lincei. Matematica e Applicazioni 29 (2018), p. 739--772
    ISSN: 1120-6330
    DOI: 10.4171/RLM/832
  • Bögelein V., Duzaar F., Marcellini P., Scheven C.:
    Doubly nonlinear equations of porous medium type
    In: Archive for Rational Mechanics and Analysis 229 (2018), p. 503--545
    ISSN: 0003-9527
    DOI: 10.1007/s00205-018-1221-9
  • Bögelein V., Duzaar F., Scheven C., Singer T.:
    Existence of variational solutions in noncylindrical domains
    In: SIAM Journal on Mathematical Analysis 50 (2018), p. 3007--3057
    ISSN: 0036-1410
    DOI: 10.1137/17M1156423

2017

  • Bögelein V., Duzaar F., Fusco N.:
    A quantitative isoperimetric inequality on the sphere
    In: Advances in Calculus of Variations 10 (2017), p. 223--265
    ISSN: 1864-8258
    DOI: 10.1515/acv-2015-0042
  • Bögelein V., Duzaar F., Marcellini P., Signoriello S.:
    Parabolic equations and the bounded slope condition
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 34 (2017), p. 355--379
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2015.12.005
  • Bögelein V., Duzaar F., Scheven C.:
    The obstacle problem for parabolic minimizers
    In: Journal of Evolution Equations 17 (2017), p. 1273--1310
    ISSN: 1424-3199
    DOI: 10.1007/s00028-017-0384-4

2016

  • Bögelein V., Duzaar F., Gianazza U.:
    Sharp boundedness and continuity results for the singular porous medium equation
    In: Israel Journal of Mathematics 214 (2016), p. 259--314
    ISSN: 0021-2172
    DOI: 10.1007/s11856-016-1360-3
  • Bögelein V., Duzaar F., Scheven C.:
    The obstacle problem for the total variation flow
    In: Annales Scientifiques De L Ecole Normale Superieure 49 (2016), p. 1143--1188
    ISSN: 0012-9593
    DOI: 10.24033/asens.2306
  • Bögelein V., Duzaar F., Scheven C.:
    The total variation flow with time dependent boundary values
    In: Calculus of Variations and Partial Differential Equations 55 (2016), p. Art. 108, 31
    ISSN: 0944-2669
    DOI: 10.1007/s00526-016-1041-4

2015

  • Bögelein V., Duzaar F., Fusco N.:
    A sharp quantitative isoperimetric inequality in higher codimension
    In: ATTI Della Accademia Nazionale Dei Lincei Rendiconti Lincei Scienze Fisiche e Naturali 26 (2015), p. 309-362
    ISSN: 1120-6349
    DOI: 10.4171/RLM/709
  • Bögelein V., Duzaar F., Gianazza U.:
    VERY WEAK SOLUTIONS OF SINGULAR POROUS MEDIUM EQUATIONS WITH MEASURE DATA
    In: Communications on Pure and Applied Analysis 14 (2015), p. 23-49
    ISSN: 1534-0392
    DOI: 10.3934/cpaa.2015.14.23
  • Bögelein V., Duzaar F., Marcellini P.:
    A Time Dependent Variational Approach to Image Restoration
    In: Siam Journal on Imaging Sciences 8 (2015), p. 968-1006
    ISSN: 1936-4954
    DOI: 10.1137/140992771
  • Bögelein V., Duzaar F., Marcellini P., Signoriello S.:
    Non local diffusion equations
    In: Journal of Mathematical Analysis and Applications 432 (2015), p. 398-428
    ISSN: 0022-247X
    DOI: 10.1016/j.jmaa.2015.06.053
  • Bögelein V., Duzaar F., Scheven C.:
    A sharp quantitative isoperimetric inequality in hyperbolic n-space
    In: Calculus of Variations and Partial Differential Equations 54 (2015), p. 3967-4017
    ISSN: 0944-2669
    DOI: 10.1007/s00526-015-0928-9
  • Bögelein V., Duzaar F., Scheven C.:
    Short-Time Regularity for the H-Surface Flow
    In: International Mathematics Research Notices (2015), p. 3694-3750
    ISSN: 1073-7928
    DOI: 10.1093/imrn/rnu042
  • Duzaar F., Scheven C.:
    The evolution of H-surfaces with a Plateau boundary condition
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 32 (2015), p. 109-157
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2013.10.003

2014

  • Bögelein V., Duzaar F., Gianazza U.:
    Continuity estimates for porous medium type equations with measure data
    In: Journal of Functional Analysis 267 (2014), p. 3351-3396
    ISSN: 0022-1236
    DOI: 10.1016/j.jfa.2014.08.014
  • Bögelein V., Duzaar F., Marcellini P.:
    Existence of evolutionary variational solutions via the calculus of variations
    In: Journal of Differential Equations 256 (2014), p. 3912-3942
    ISSN: 0022-0396
    DOI: 10.1016/j.jde.2014.03.005

2013

  • Bögelein V., Duzaar F., Gianazza U.:
    POROUS MEDIUM TYPE EQUATIONS WITH MEASURE DATA AND POTENTIAL ESTIMATES
    In: SIAM Journal on Mathematical Analysis 45 (2013), p. 3283-3330
    ISSN: 0036-1410
    DOI: 10.1137/130925323
  • Bögelein V., Duzaar F., Marcellini P.:
    Parabolic equations with (p,q)-growth
    In: Journal De Mathematiques Pures Et Appliquees 100 (2013), p. 535-563
    ISSN: 0021-7824
  • Bögelein V., Duzaar F., Marcellini P.:
    Parabolic Systems with p, q-Growth: A Variational Approach
    In: Archive for Rational Mechanics and Analysis 210 (2013), p. 219-267
    ISSN: 0003-9527
    DOI: 10.1007/s00205-013-0646-4
  • Bögelein V., Duzaar F., Mingione G.:
    The regularity of general parabolic systems with degenerate diffusions
    In: Memoirs of the American Mathematical Society 221 (2013)
    ISSN: 0065-9266
    DOI: 10.1090/S0065-9266-2012-00664-2
  • Bögelein V., Duzaar F., Scheven C.:
    Weak solutions to the heat flow for surfaces of prescribed mean curvature
    In: Transactions of the American Mathematical Society 365 (2013), p. 4633-4677
    ISSN: 0002-9947
    DOI: 10.1090/S0002-9947-2013-05885-0

2012

  • Bögelein V., Duzaar F.:
    Holder estimates for parabolic p(x, t)-Laplacian systems
    In: Mathematische Annalen 354 (2012), p. 907-938
    ISSN: 0025-5831
    DOI: 10.1007/s00208-011-0750-4
  • Bögelein V., Duzaar F., Habermann J., Scheven C.:
    Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
    In: Advances in Calculus of Variations 5 (2012), p. 1-57
    ISSN: 1864-8258
    DOI: 10.1515/ACV.2011.009
  • Bögelein V., Duzaar F., Scheven C.:
    Global solutions to the heat flow for m-harmonic maps and regularity
    In: Indiana University Mathematics Journal 61 (2012), p. 2157-2210
    ISSN: 0022-2518
    URL: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=4819&year=2012&volume=61
  • Duzaar F., Habermann J.:
    Partial regularity for parabolic systems with non-standard growth
    In: Journal of Evolution Equations 12 (2012), p. 203-244
    ISSN: 1424-3199
    DOI: 10.1007/s00028-011-0130-2

2011

  • Bögelein V., Duzaar F.:
    Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
    In: Publicacions Matematiques 55 (2011), p. 201-250
    ISSN: 0214-1493
    DOI: 10.5565/PUBLMAT_55111_10
    URL: http://www.mat.uab.es/pubmat/volums/navegador/volum_id:89#
  • Bögelein V., Duzaar F., Habermann J., Scheven C.:
    Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
    In: Proceedings of the London Mathematical Society 103 (2011), p. 371-404
    ISSN: 0024-6115
    DOI: 10.1112/plms/pdr009
    URL: http://plms.oxfordjournals.org/content/early/2011/02/27/plms.pdr009.abstract
  • Bögelein V., Duzaar F., Mingione G.:
    Degenerate problems with irregular obstacles
    In: Journal für die reine und angewandte Mathematik 650 (2011), p. 107-160
    ISSN: 0075-4102
    DOI: 10.1515/CRELLE.2011.006
    URL: http://www.reference-global.com/doi/abs/10.1515/CRELLE.2011.006
  • Duzaar F., Mingione G.:
    Gradient estimates via non-linear potentials
    In: American Journal of Mathematics 133 (2011), p. 1093-1149
    ISSN: 0002-9327
    DOI: 10.1353/ajm.2011.0023
    URL: http://muse.jhu.edu/login?uri=/journals/american_journal_of_mathematics/v133/133.4.duzaar.pdf
  • Duzaar F., Mingione G., Steffen K.:
    Parabolic systems with polynomial growth and regularity
    In: Memoirs of the American Mathematical Society 214 (2011), p. -
    ISSN: 0065-9266
    DOI: 10.1090/S0065-9266-2011-00614-3
    URL: http://www.ams.org/journals/memo/0000-000-00/S0065-9266-2011-00614-3/home.html

2010

  • Bögelein V., Duzaar F., Mingione G.:
    The boundary regularity of non-linear parabolic systems I
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27 (2010), p. 201-255
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2009.09.003
  • Bögelein V., Duzaar F., Mingione G.:
    The boundary regularity of non-linear parabolic systems II
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27 (2010), p. 145-200
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2009.09.002
    URL: https://www.sciencedirect.com/science/article/pii/S0294144909000833?via=ihub
  • Duzaar F., Mingione G.:
    Gradient continuity estimates
    In: Calculus of Variations and Partial Differential Equations 39 (2010), p. 379-418
    ISSN: 0944-2669
    DOI: 10.1007/s00526-010-0314-6
  • Duzaar F., Mingione G.:
    Gradient estimates via linear and nonlinear potentials
    In: Journal of Functional Analysis 259 (2010), p. 2961-2998
    ISSN: 0022-1236
    DOI: 10.1016/j.jfa.2010.08.006
  • Duzaar F., Mingione G.:
    Local Lipschitz regularity for degenerate elliptic systems
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27 (2010), p. 1361-1396
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2010.07.002

2009

  • Duzaar F., Mingione G.:
    Gradient estimates in non-linear potential theory
    In: Rendiconti Lincei. Matematica e Applicazioni 20 (2009), p. 179-190
    ISSN: 1120-6330
    DOI: 10.4171/RLM/540
    URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=2&rank=6
  • Duzaar F., Mingione G.:
    Harmonic Type Approximations Lemmas
    In: Journal of Mathematical Analysis and Applications 352 (2009), p. 301-335
    ISSN: 0022-247X
    DOI: 10.1016/j.jmaa.2008.09.076

2007

  • Duzaar F., Kristensen J., Mingione G.:
    The existence of regular boundary points for nonlinear elliptic systems. To the memory of Sergio Campanato
    In: Journal für die reine und angewandte Mathematik 2007 (2007), p. 17-58
    ISSN: 0075-4102
    DOI: 10.1515/CRELLE.2007.002
    URL: http://www.reference-global.com/doi/pdf/10.1515/CRELLE.2007.002

2005

  • Duzaar F.:
    Optimal regularity for second order parabolic systems via $A$-caloric approximation
    In: Rivista di matematica della Università di Parma 7 (2005), p. 91-113
    ISSN: 0035-6298
    URL: http://rivista.math.unipr.it/vols/2005-4s/04.html
  • Duzaar F., Grotowski JF., Kronz M.:
    Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
    In: Annali Di Matematica Pura Ed Applicata 184 (2005), p. 421-448
    ISSN: 0373-3114
    DOI: 10.1007/s10231-004-0117-5
    URL: http://www.springerlink.com/content/vcrdegy4y8j1b1px/fulltext.pdf
  • Duzaar F., Mingione G.:
    Second order parabolic systems, optimal regularity, and singular sets of solutions
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 22 (2005), p. 705-751
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2004.10.011
    URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6VKB-4G4PC1B-1-8&_cdi=6118&_user=616145&_orig=search&_coverDate=12%2F31%2F2005&_sk=999779993&view=c&wchp=dGLbVzb-zSkWz&md5=6e5a844d72a331ada8ce3e8dff936583&ie=/sdarticle.pdf

2004

  • Duzaar F., Gastel A., Mingione G.:
    Elliptic systems, singular sets and Dini continuity
    In: Communications in Partial Differential Equations 29 (2004), p. 1215-1240
    ISSN: 0360-5302
    DOI: 10.1081/PDE-200033734
    URL: http://www.informaworld.com/smpp/content~db=all?content=10.1081/PDE-200033734
  • Duzaar F., Grotowski JF., Kronz M.:
    Partial and full boundary regularity for minimizers of functionals with nonquadratic growth
    In: Journal of Convex Analysis 11 (2004), p. 437-476
    ISSN: 0944-6532
    URL: http://www.heldermann.de/JCA/JCA11/jca11027.htm
  • Duzaar F., Mingione G.:
    Regularity for degenerate elliptic problems via $p$-harmonic approximation
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 21 (2004), p. 735-766
    ISSN: 0294-1449
    DOI: 10.1016/j.anihpc.2003.09.003
    URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6VKB-4BRBCVJ-1-5&_cdi=6118&_user=616145&_orig=search&_coverDate=10%2F31%2F2004&_sk=999789994&view=c&wchp=dGLzVlz-zSkzS&md5=e353b7aee2d2bf8cde5892ba0f08fc99&ie=/sdarticle.pdf
  • Duzaar F., Mingione G.:
    The $p$-harmonic approximation and the regularity of $p$-harmonic maps
    In: Calculus of Variations and Partial Differential Equations 20 (2004), p. 235-256
    ISSN: 0944-2669
    DOI: 10.1007/s00526-003-0233-x
    URL: http://www.springerlink.com/content/97wh09at0y84v6dj/fulltext.pdf

2002

  • Duzaar F., Gastel A.:
    Nonlinear elliptic systems with Dini continuous coefficients
    In: Archiv der Mathematik 78 (2002), p. 58-73
    ISSN: 0003-889X
    DOI: 10.1007/s00013-002-8217-1
    URL: http://www.springerlink.com/content/ubwra8e6wemxr1m5/fulltext.pdf
  • Duzaar F., Kronz M.:
    Regularity of $\omega$-minimizers of quasi-convex variational integrals with polynomial growth
    In: Differential Geometry and its Applications 17 (2002), p. 139-152
    ISSN: 0926-2245
    DOI: 10.1016/S0926-2245(02)00104-3
    URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TYY-46B4N65-4-B3&_cdi=5631&_user=616145&_orig=search&_coverDate=09%2F30%2F2002&_sk=999829997&view=c&wchp=dGLbVtz-zSkzV&md5=04f186a6d48102cbdc0bdf90fa2a463e&ie=/sdarticle.pdf
  • Duzaar F., Steffen K.:
    Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
    In: Journal für die reine und angewandte Mathematik 546 (2002), p. 73-138
    ISSN: 0075-4102
    DOI: 10.1515/crll.2002.046
    URL: http://www.reference-global.com/doi/pdf/10.1515/crll.2002.046

2001

  • Duzaar F., Gastel A., Grotowski JF.:
    Optimal partial regularity for nonlinear elliptic systems of higher order
    In: Journal of Mathematical Sciences - the University of Tokyo 8 (2001), p. 463-499
    ISSN: 1340-5705
    URL: http://journal.ms.u-tokyo.ac.jp/

2000

  • Duzaar F., Gastel A., Grotowski JF.:
    Partial regularity for almost minimizers of quasi-convex integrals
    In: SIAM Journal on Mathematical Analysis 32 (2000), p. 665-687
    ISSN: 0036-1410
    DOI: 10.1137/S0036141099374536
    URL: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJMAAH000032000003000665000001&idtype=cvips&gifs=yes
  • Duzaar F., Grotowski JF.:
    Existence and regularity for higher dimensional $H$-systems
    In: Duke Mathematical Journal 101 (2000), p. 459-485
    ISSN: 0012-7094
    URL: http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdffirstpage_1&handle=euclid.dmj/1092749201
  • Duzaar F., Grotowski JF.:
    Optimal interior partial regularity for nonlinear elliptic systems: The method of $A$-harmonic approximation
    In: Manuscripta Mathematica 103 (2000), p. 267-298
    ISSN: 0025-2611
    DOI: 10.1007/s002290070007
    URL: http://www.springerlink.com/content/jvxdcub8hywkpyd5/fulltext.pdf

1999

  • Duzaar F., Steffen K.:
    Parametric sufaces of least $H$-energy in a Riemannian manifold
    In: Mathematische Annalen 314 (1999), p. 197-244
    ISSN: 0025-5831
    URL: http://www.springerlink.com/content/ywgd2yf1t8elu9vp/fulltext.pdf

1998

  • Duzaar F., Gastel A.:
    Minimizing $p$-harmonic maps at a free boundary
    In: Bollettino della Unione Matematica Italiana B 1 (1998), p. 391-406
    ISSN: 0392-4041
  • Duzaar F., Kuwert E.:
    Minimization of conformally invariant energies in homotopy classes
    In: Calculus of Variations and Partial Differential Equations 6 (1998), p. 285-313
    ISSN: 0944-2669
    DOI: 10.1007/s005260050092
    URL: http://www.springerlink.com/content/xlb84df4mpc08qme/fulltext.pdf

1997

  • Duzaar F., Steffen K.:
    Boundary regularity for area minimizing currents with prescribed volume
    In: Journal of Geometric Analysis 7 (1997), p. 585-592
    ISSN: 1050-6926
    DOI: 10.1007/BF02921634
    URL: http://springerlink.com/content/pm75t747g33g7097/fulltext.pdf

1996

  • Duzaar F.:
    Hypersurfaces with constant mean curvature and prescribed area
    In: Manuscripta Mathematica 91 (1996), p. 303-315
    ISSN: 0025-2611
    DOI: 10.1007/BF02567956
    URL: http://www.springerlink.com/content/03k827467654842w/fulltext.pdf
  • Duzaar F., Grotowski JF.:
    A mixed boundary value problem for energy minimizing harmonic maps
    In: Mathematische Zeitschrift 221 (1996), p. 153-167
    ISSN: 0025-5874
    DOI: 10.1007/BF02622105
    URL: http://www.springerlink.com/content/m26h54512503k505/fulltext.pdf
  • Duzaar F., Steffen K.:
    Existence of hypersurfaces with prescribed mean curvature in Riemannian manifolds
    In: Indiana University Mathematics Journal 45 (1996), p. 1045-1093
    ISSN: 0022-2518
    DOI: 10.1512/iumj.1996.45.1117
    URL: http://www.iumj.indiana.edu/IUMJ/FULLTEXT/1996/45/1117

1995

  • Duzaar F., Fuchs M.:
    Existence of area minimizing tangent cones of integral currents with prescribed mean curvature
    In: Acta Mathematica Scientia 15 (1995), p. 95-102
    ISSN: 0252-9602
    URL: http://en.cnki.com.cn/Article_en/CJFDTotal-SXWY501.011.htm

1994

  • Duzaar F.:
    Existence and regularity of hypersurfaces with prescribed mean curvature and a free boundary
    In: Journal für die reine und angewandte Mathematik 457 (1994), p. 23-43
    ISSN: 0075-4102
    URL: https://eudml.org/doc/153669
  • Duzaar F., Grotowski JF.:
    Energy minimizing harmonic maps with an obstacle at the free boundary
    In: Manuscripta Mathematica 83 (1994), p. 291-314
    ISSN: 0025-2611
    DOI: 10.1007/BF02567615
    URL: http://www.springerlink.com/content/m67p822218012813/fulltext.pdf
  • Duzaar F., Steffen K.:
    Comparison principles for hypersurfaces of prescribed mean curvature
    In: Journal für die reine und angewandte Mathematik 457 (1994), p. 71-83
    ISSN: 0075-4102
    URL: http://eudml.org/doc/153671

1993

  • Duzaar F.:
    On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 10 (1993), p. 191-214
    ISSN: 0294-1449
    URL: http://www.numdam.org/item?id=AIHPC_1993__10_2_191_0
  • Duzaar F., Steffen K.:
    Boundary regularity for minimizing currents with prescribed mean curvature
    In: Calculus of Variations and Partial Differential Equations 1 (1993), p. 355-406
    ISSN: 0944-2669
    DOI: 10.1007/BF01206958
    URL: http://www.springerlink.com/content/v82680827q00q040/fulltext.pdf
  • Duzaar F., Steffen K.:
    $\lambda$ minimizing currents
    In: Manuscripta Mathematica 80 (1993), p. 403-447
    ISSN: 0025-2611
    DOI: 10.1007/BF03026561

1992

  • Duzaar F., Fuchs M.:
    A general existence theorem for integral currents with prescribed mean curvature form
    In: Bollettino della Unione Matematica Italiana B 6 (1992), p. 901-912
    ISSN: 0392-4041
  • Duzaar F., Steffen K.:
    Area minimizing hypersurfaces with prescribed volume and boundary
    In: Mathematische Zeitschrift 209 (1992), p. 581-618
    ISSN: 0025-5874
    DOI: 10.1007/BF02570855
    URL: http://www.springerlink.com/content/t483384625752883/fulltext.pdf

1991

  • Duzaar F.:
    Regularity of $p$-harmonic maps into a closed hemisphere
    In: Bollettino della Unione Matematica Italiana B 5 (1991), p. 157-170
    ISSN: 0392-4041
  • Duzaar F., Fuchs M.:
    Einige Bemerkungen über die Existenz orientierter Mannigfaltigkeiten mit vorgeschriebener mittlerer Krümmung
    In: Zeitschrift für Analysis und ihre Anwendungen 10 (1991), p. 525-534
    ISSN: 0232-2064
  • Duzaar F., Fuchs M.:
    Einige Bemerkungen über die Regularität von stationären Punkten gewisser geometrischer Variationsintegrale
    In: Mathematische Nachrichten 152 (1991), p. 39-47
    ISSN: 0025-584X
    URL: http://www3.interscience.wiley.com/cgi-bin/fulltext/113459912/PDFSTART
  • Duzaar F., Fuchs M.:
    Existence and regularity of functions which minimize certain energies in homotopy classes of mappings
    In: Asymptotic Analysis 5 (1991), p. 129-144
    ISSN: 0921-7134
  • Duzaar F., Fuchs M.:
    On integral currents with constant mean curvature
    In: Rendiconti Del Seminario Matematico Della Universita Di Padova 85 (1991), p. 79-103
    ISSN: 0041-8994
    URL: http://rendiconti.math.unipd.it/volumes/vol085.html?lan=english

1990

  • Duzaar F., Fuchs M.:
    Existenz und Regularität von Hyperflächen mit vorgeschriebener mittlerer Krümmung
    In: Analysis 10 (1990), p. 193-230
    ISSN: 0003-2638
  • Duzaar F., Fuchs M.:
    On removable singularities of p-harmonic maps
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 7 (1990), p. 385-405
    ISSN: 0294-1449
  • Duzaar F., Fuchs M.:
    On the existence of integral currents with prescribed mean curvature vector
    In: Manuscripta Mathematica 67 (1990), p. 41-67
    ISSN: 0025-2611
    DOI: 10.1007/BF02568422
    URL: http://www.springerlink.com/content/f87239377k748433/fulltext.pdf

1989

  • Duzaar F., Steffen K.:
    An optimal estimate for the singular set of a harmonic map in the free boundary
    In: Journal für die reine und angewandte Mathematik 401 (1989), p. 157-187
    ISSN: 1435-5345
  • Duzaar F., Steffen K.:
    A partial regularity theorem for harmonic maps at a free boundary
    In: Asymptotic Analysis 2 (1989), p. 299-343
    ISSN: 0921-7134
    URL: http://www.iospress.nl/loadtop/load.php?isbn=09217134

1987

  • Duzaar F.:
    Variational inequalities and harmonic mappings
    In: Journal für die reine und angewandte Mathematik 374 (1987), p. 39-60
    ISSN: 1435-5345

1986

  • Duzaar F., Fuchs M.:
    Optimal regularity theorems for variational problems with obstacles
    In: Manuscripta Mathematica 56 (1986), p. 209-234
    ISSN: 0025-2611
    URL: http://www.springerlink.com/content/g6776qu144261x42/fulltext.pdf
  • Duzaar F., Fuchs M.:
    Variational problems with non-convex obstacles and an integral constraint for vector-valued functions
    In: Mathematische Zeitschrift 191 (1986), p. 585-591
    ISSN: 0025-5874
    URL: http://www.springerlink.com/content/jl471u5686011245/fulltext.pdf

Unpublished / Preprints

No publications found.

Department of Data Science
Friedrich-Alexander-Universität Erlangen-Nürnberg

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