Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

2018/10/09 by Bousquet, Pierre, Brasco, Lorenzo · 6 citations
#35B65 #35J70 #49K20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1810.03837

Abstract

We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rate.

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• ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo-p-Laplacian equations
• Sketches of Nonuniformly Elliptic Schauder Theory
• Gradient regularity for double-phase orthotropic functionals

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