Double phase meets Muckenhoupt

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Daviti Adamadze, Lars Diening, Tengiz Kopaliani, Jihoon Ok
DOI: 10.48550/arxiv.2601.20736
Cited by: 0

Abstract

In this paper we generalize the famous result of [FKS] to the double phase model. In particular, we work with minimal assumptions on the modulating coefficient by introducing a Muckenhoupt-type condition on generalized Orlicz spaces. We develop a complete theory equivalent to that of classical Muckenhoupt weights, including the boundedness of the maximal operator and Sobolev-Poincare estimates. We combine this with the De~Giorgi technique to show Hölder continuity of the solutions.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Harmonic Analysis Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 January 2026
Language
EN
Document type
Preprint