Nonexistence result for a semilinear elliptic problem
Analysis of PDEs
2019-04-17 v2
Abstract
In this paper we prove the nonexistence of nontrivial solution to \begin{equation*} \begin{cases} -\Delta u =f(u) &\text{in }\Omega, \\ u=0 &\text{on } \partial \Omega, \end{cases} \end{equation*} being () a bounded domain and locally Lispchitz with non-positive primitive.
Cite
@article{arxiv.1902.08800,
title = {Nonexistence result for a semilinear elliptic problem},
author = {Salvador López-Martínez and Alexis Molino},
journal= {arXiv preprint arXiv:1902.08800},
year = {2019}
}