Note on a sign-dependent regularity for the polyharmonic Dirichlet problem
Analysis of PDEs
2020-09-22 v1
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.
Cite
@article{arxiv.2009.09747,
title = {Note on a sign-dependent regularity for the polyharmonic Dirichlet problem},
author = {Inka Schnieders and Guido Sweers},
journal= {arXiv preprint arXiv:2009.09747},
year = {2020}
}