Asymptotically regular problems I: Higher integrability

Link:
Autor/in:
Erscheinungsjahr:
2010
Medientyp:
Text
Schlagworte:
  • Calculus of variations
  • Calderon-Zygmund estimates
  • Higher integrability
  • Minimizing sequence
  • Quasilinear elliptic system
Beschreibung:
  • We consider weak solutions u of non-linear systems of partial differential equations. Assuming that the system exhibits a certain kind of elliptic behavior near infinity we prove higher integrability results for the gradient Du. In particular, we establish Hölder continuity of u in low dimensions. Moreover, we obtain analogous results for vectorial minimizers of multi-dimensional variational integrals. Finally, we discuss an extension to minimizing sequences and applications to generalized minimizers.
Lizenz:
  • info:eu-repo/semantics/openAccess
Quellsystem:
Forschungsinformationssystem der UHH

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oai:www.edit.fis.uni-hamburg.de:publications/86a820cb-b9c2-4f9b-b42f-b13121588104