On the symmetry of minimizers in constrained quasi-linear problems

TL;DR

This paper presents a straightforward proof demonstrating that nonnegative minimizers of a broad class of quasi-linear constrained problems are radially symmetric, simplifying understanding of their structure.

Contribution

It offers a new, simple proof of the radial symmetry of minimizers in quasi-linear problems, expanding theoretical understanding.

Findings

Nonnegative minimizers are radially symmetric.

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

Simplifies previous symmetry proofs.

Abstract

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