Regularity of solutions in semilinear elliptic theory
Analysis of PDEs
2016-01-21 v1
Abstract
We study the semilinear Poisson equation \begin{equation} \label{pro} \Delta u = f(x, u) \hskip .2 in \text{in} \hskip .2 in B_1. \end{equation} Our main results provide conditions on which ensure that weak solutions of this equation belong to . In some configurations, the conditions are sharp.
Keywords
Cite
@article{arxiv.1601.05219,
title = {Regularity of solutions in semilinear elliptic theory},
author = {Emanuel Indrei and Andreas Minne and Levon Nurbekyan},
journal= {arXiv preprint arXiv:1601.05219},
year = {2016}
}