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

Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case. Manuscr. Math. 123 (4) (2007), p.453-491
L. Beck
(See online at https://doi.org/10.1007/s00229-007-0100-8)
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
(See online at https://doi.org/10.1007/s00526-007-0127-4)
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
(See online at https://doi.org/10.1016/j.jmaa.2008.12.042)
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
(See online at https://doi.org/10.1017/S0308210507001278)
Regularity results for minimizers of integrals with (2,*7)-growth m the Heisenberg group. Dissertation (2009), Universität Erlangen-Nümberg.
A. Föglein