Calculus of Variations and Geometric Measure Theory

A. Nastasi - E. Peña Ayala - M. Vestberg

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

created by nastasi on 18 Nov 2025
modified on 06 May 2026

[BibTeX]

Published Paper

Inserted: 18 nov 2025
Last Updated: 6 may 2026

Journal: NONLINEAR ANALYSIS
Volume: 271
Year: 2026

ArXiv: 2508.02491 PDF
Links: doi

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.