Abstract
In this paper, we study an anisotropic nonlocal problem which is a stationary counterpart of the Kirchhoff equation settled in the variable exponent Sobolev spaces. By using the variational approach and applying the Mountain-Pass theorem along with the Fountain theorem, we obtain the existence and multiplicity of nontrivial weak solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 259-272 |
| Number of pages | 14 |
| Journal | Annals of the University of Craiova, Mathematics and Computer Science Series |
| Volume | 43 |
| Issue number | 2 |
| Publication status | Published - 2016 |
Keywords
- (·)-Laplace operator
- Anisotropic variable exponent Sobolev spaces
- Fountain theorem
- Leray-Lions type operator
- Mountain-Pass theorem
- Nonlocal problem
- Variational approach