Local Lipschitz continuity for energy integrals under unified general growth of fast and slow type

2026/07/31 by Michela Eleuteri, Stefania Perrotta, Giulia Treu
Mathematics · #math.AP

paper · pdf

arxiv created 2026/07/31 · arxiv updated 2026/08/03

Abstract

We consider a class of anisotropic energy integrals including fast and slow growth under a unified approach, proving that the local minimizers are locally Lipschitz continuous.

Citations

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• Nonuniformly elliptic Schauder theory
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• On the regularity of minima of non-autonomous functionals
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• On the Lipschitz character of orthotropic p-harmonic functions