Partial regularity for minimizers of quasiconvex functionals with general growth

TL;DR

This paper establishes partial regularity results for local minimizers of quasiconvex variational integrals with general growth conditions, using an improved A-harmonic approximation technique that may benefit classical growth cases.

Contribution

It introduces an enhanced A-harmonic approximation method to prove partial regularity for minimizers under general growth conditions, extending previous results.

Findings

Partial regularity for minimizers with general growth.

Improved A-harmonic approximation technique.

Potential applications to classical growth cases.

Abstract

We prove a partial regularity result for local minimizers of quasiconvex variational integrals with general growth. The main tool is an improved A-harmonic approximation, which should be interesting also for classical growth.