Existence and symmetry of minimizers for nonconvex radially symmetric variational problems

2007/04/30 by Stefan Krömer, Krömer, Stefan
Computer Science · Mathematics · #49J10 #49J45 #Advanced Optimization Algorithms Research #Classical Analysis and ODEs (math.CA) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.0704.3901

openalex publication_date 2007/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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