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Gradient regularity for double-phase orthotropic functionals

Stefano Almi, Chiara Leone, Gianluigi Manzo

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Source: Crossref

Published: Sep 16, 2026

DOI: 10.1142/s0219199726500720

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Source abstract

In this paper, we prove higher integrability for local minimizers of the double-phase orthotropic functional [Formula: see text] when the weight function [Formula: see text] is assumed to be [Formula: see text]-Hölder continuous, while the exponents [Formula: see text] are such that [Formula: see text] and [Formula: see text]. Under natural Sobolev regularity of [Formula: see text], we further obtain explicit Lipschitz regularity estimates for local minimizers.

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Gradient regularity for double-phase orthotropic functionals — Mathematical Frontier Network