On Symmetry of Minimizers in Constrained Quasi-Linear Problems, 1

TL;DR

This paper presents a straightforward proof demonstrating that nonnegative minimizers of a broad class of quasi-linear constrained optimization problems are radially symmetric.

Contribution

It offers a simple and general proof of symmetry for minimizers in quasi-linear problems, expanding understanding of their structure.

Findings

Nonnegative minimizers are radially symmetric.

The proof applies to a wide class of quasi-linear problems.

Symmetry results simplify analysis of these minimizers.

Abstract

We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems