Strongly resonant quasilinear elliptic equations (Q2470090)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly resonant quasilinear elliptic equations |
scientific article |
Statements
Strongly resonant quasilinear elliptic equations (English)
0 references
13 February 2008
0 references
The nonlinear boundary value problem \(-\Delta _{p}u=\lambda _{1}| u| ^{p-2}u+g(u)\) in \(\Omega \), \(u| _{\partial \Omega }=0\), is studied in the paper. An existence result is obtained under some strong generalized Landesman--Laser and Tong conditions. The proof is based on a saddle point theorem with Cerami type PS condition.
0 references
quasilinear elliptic equation
0 references
strong resonance
0 references
Cerami condition
0 references
