An existence theorem for a perturbed singular elliptic problem (Q1008845)
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: An existence theorem for a perturbed singular elliptic problem |
scientific article; zbMATH DE number 5535153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An existence theorem for a perturbed singular elliptic problem |
scientific article; zbMATH DE number 5535153 |
Statements
An existence theorem for a perturbed singular elliptic problem (English)
0 references
30 March 2009
0 references
Summary: We prove the existence of a positive solution for singular elliptic problems of the type \(-\Delta u = \alpha (x)u ^{-\beta} + \lambda f(x, u)\) in \(\Omega , u_{| \partial \Omega } = 0\), where \(\beta \) is a positive real number.
0 references
singular elliptic problems
0 references
classical solution
0 references
positive solution
0 references
0 references
0 references
