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arXiv · 2508.02491

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

Antonella Nastasi·Emiliano Peña Ayala·Matias Vestberg
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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.

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Antonella Nastasi, Emiliano Peña Ayala, Matias Vestberg. 2025-08-04. Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations. https://arxiv.org/abs/2508.02491

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