Regularity for Doubly Nonlinear Equations in the Mixed Regime

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Simone Ciani, Eurica Henriques, Mariia Savchenko, Igor I. Skrypnik, Yevgeniia Yevgenieva
DOI: 10.48550/arxiv.2602.09906
Cited by: 0

Abstract

We study the local Hölder continuity of nonnegative solutions to doubly nonlinear equations by introducing a new technique that allows us to treat the cases where the equation is both singular and degenerate, up to specific Barenblatt numbers. Our argument relies on a new integral $L^1$-$L^1$ Harnack estimate, of independent interest.

Fields of Study & Subjects

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

Publication details

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