Regularität von Lösungen quasilinearer subelliptischer Gleichungen mit Nichtstandard-Wachstum in der Heisenberg-Gruppe; Die singuläre Menge von Minima konvexer Varationsprobleme höherer Ordnung und Randregularität von Lösungen elliptischer Systeme

• Applicant: Professor Dr. Frank Duzaar
• Subject Area: Mathematics
• Term: from 2006 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 32644055

• Final Report Year: 2010

Final Report Abstract

No abstract available

Publications

• Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case. Manuscr. Math. 123 (4) (2007), p.453-491
  L. Beck
  
• Boundary regularity results for weak solutions of subquadratic elliptic systems Dissertation (2008), Universität Erlangen-Nümberg
  L. Beck
  
• Partial regularity results for subelliptic systems in the Heisenberg group. Calc. Var. Partial Differ. Equ. 32 (1) (2008), p.25-51
  A. Föglein
  
• Boundary regularity for elliptic problems with continuous coefficients. J. Convex Anal. 16 (1) (2009), p.287-320
  L. Beck
  
• Higher order functionals and regularity. Dissertation (2009), Universität Erlangen-Nümberg
  S. Schemm
  
• Holder continuity for solutions of subquadratic elliptic systems in low dimensions. J. Math. Anal. Appl. 354 (1) (2009), p.301-318
  L. Beck
  
• Partial regularity of strong local minimizers of quasiconvex integrals with (p, 9)-growth. Prve. R. Soc. Edinb., Sect. A, Math. 139 (3) (2009), p 595-621
  S. Schemm; T. Schmidt
  
• Regularity results for minimizers of integrals with (2,*7)-growth m the Heisenberg group. Dissertation (2009), Universität Erlangen-Nümberg.
  A. Föglein