Regularity for Doubly Nonlinear Equations in the Mixed Regime
Analysis of PDEs
2026-02-11 v1
Abstract
We study the local H\"older 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 - Harnack estimate, of independent interest.
Cite
@article{arxiv.2602.09906,
title = {Regularity for Doubly Nonlinear Equations in the Mixed Regime},
author = {Simone Ciani and Eurica Henriques and Mariia Savchenko and Igor I. Skrypnik and Yevgeniia Yevgenieva},
journal= {arXiv preprint arXiv:2602.09906},
year = {2026}
}
Comments
30 pages, 1 figure