Work

Nonexistence result for a semilinear elliptic problem

Year: 2019
Type: preprint
Abstract: In this paper we prove the nonexistence of nontrivial solution to \begin{equation*} \begin{cases} -Δu =f(u) &\text{in }Ω, \\ u=0 &\text{on } \partial Ω, \end{cases} \end{equation*} being $Ω\subset \mathbb{R}^N$ ($N\in \mathbb{N}$) a bounded domain and $f$ locally Lispchitz with non-positive primitive.
Language: English
Open Access status: green
Award: G359613519
OpenAlex ID: W2917334160
Cites: 7
Cited by:
Related to: 20