Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains (Q441171)
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: Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains |
scientific article; zbMATH DE number 6069272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains |
scientific article; zbMATH DE number 6069272 |
Statements
Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains (English)
0 references
20 August 2012
0 references
This paper deals with a class of nonlinear elliptic equations with Dirichlet boundary condition. The main features of the paper under review are the following: (i) the presence of singular potentials of Hardy-type and (ii) the nonlinear term is of critical Sobolev-type. Using the Ekeland variational principle in combination with elliptic estimates and the Lusternik-Schnirelmann category theory, the authors establish the existence and multiplicity of symmetric positive solutions.
0 references
nonlinear elliptic equation
0 references
Sobolev exponent
0 references
multi-polar potentials
0 references
bounded symmetric domain
0 references
positive solution
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
