Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations

Nonlinear Analysis 2026 Open access

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Authors: Antonella Nastasi, Emiliano Peña Ayala, Matias Vestberg
DOI: 10.1016/j.na.2026.114141
Cited by: 0

Abstract

We prove the existence of solutions to the Cauchy-Dirichlet problem associated with a class of fully nonlinear anisotropic evolution equations. We prove a comparison principle and conclude the uniqueness of solutions. All results are obtained under a closeness assumption on the exponents which guarantees that a certain power of the solution has a gradient.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Stability and Controllability of Differential Equations

Publication details

Journal / source
Nonlinear Analysis
Volume
271
Pages
114141–114141
Publication date
27 April 2026
Language
EN