Note on a sign-dependent regularity for the polyharmonic Dirichlet problem

Inka Schnieders; Guido Sweers

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arXiv · 2009.09747

Note on a sign-dependent regularity for the polyharmonic Dirichlet problem

Inka Schnieders·Guido Sweers

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Abstract

A priori estimates for semilinear higher order elliptic equations usually have to deal with the absence of a maximum principle. This note presents some regularity estimates for the polyharmonic Dirichlet problem that will make a distinction between the influence on the solution of the positive and the negative part of the right-hand side.

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Inka Schnieders, Guido Sweers. 2020-09-21. Note on a sign-dependent regularity for the polyharmonic Dirichlet problem. https://arxiv.org/abs/2009.09747

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