Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities (Q324586)
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: Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities |
scientific article; zbMATH DE number 6639811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities |
scientific article; zbMATH DE number 6639811 |
Statements
Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities (English)
0 references
17 October 2016
0 references
\(p\)-Laplacian
0 references
resonance
0 references
Landesman-Lazer
0 references
0 references
0 references
0 references
0 references
The author studies the scalar equation NEWLINE\[NEWLINE-\phi_p(u')'=\lambda\phi_p(u)+h(x,u)+f(x,u,u')NEWLINE\]NEWLINE involving a \(p\)-Laplacian type of differential operator, with Dirichlet boundary conditions, and a nonlinearity \(h(x,u)\) of asymmetric type. When the parameters provide a resonance situation, some Landesman-Lazer type of conditions are assumed to prove the existence of at least one solution to the problem.
0 references
