Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition (Q1900381)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition |
scientific article; zbMATH DE number 811196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition |
scientific article; zbMATH DE number 811196 |
Statements
Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition (English)
0 references
29 April 1996
0 references
The author proves several lower bounds for the number of distinct pairs of solutions to the nonlinear resonance problem \(- \Delta u = f(x,u)\) in \(\Omega\), \(u = 0\) on \(\partial \Omega\), where \(f(x,s) = \lambda_ks + p(x,s)\), and \(\lambda_k\) is an eigenvalue of the Laplacian with homogeneous Dirichlet condition.
0 references
semilinear elliptic problem of resonance
0 references
number of solutions
0 references
