Existence and symmetry of minimizers for nonconvex radially symmetric variational problems

Details Existence and symmetry of minimizers for nonconvex radially symmetric variational problems Existence and symmetry of minimizers for nonconvex radially symmetric variational problems

2007-04-30

arxiv.org/abs/0704.3901v1

Mathematics

Classical Analysis and ODEs

22 pages, submitted to Calculus of Variations and Partial Differential Equations

Scientific paper

Nonconvex functionals with spherical symmetry are studied. Existence of one
and radial symmetry of all global minimizers is shown with an approach based on
convex relaxation.

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