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arxiv: 0704.3901 · v1 · submitted 2007-04-30 · 🧮 math.CA

Existence and symmetry of minimizers for nonconvex radially symmetric variational problems

classification 🧮 math.CA
keywords symmetryexistenceminimizersnonconvexapproachconvexfunctionalsglobal
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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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