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arXiv · 1902.08800

Nonexistence result for a semilinear elliptic problem

Salvador López-Martínez·Alexis Molino
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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 $\Omega \subset \mathbb{R}^N$ ($N\in \mathbb{N}$) a bounded domain and $f$ locally Lispchitz with non-positive primitive.

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Salvador López-Martínez, Alexis Molino. 2019-02-23. Nonexistence result for a semilinear elliptic problem. https://arxiv.org/abs/1902.08800

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