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arXiv · 2010.11854

The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations

Mark Allen·Dennis Kriventsov·Henrik Shahgholian
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Abstract

We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and $p$-Laplace type equations with a right hand side, as well as for the Laplace equation on nontangentially accessible domains under extra conditions. The approach is completely new and gives a systematic approach for proving similar results for a variety of equations and geometries.

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Mark Allen, Dennis Kriventsov, Henrik Shahgholian. 2020-10-22. The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations. https://arxiv.org/abs/2010.11854

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