- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 4
- On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent
On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent
Authors : Mohammed MASSAR
Pages : 394-401
Doi:10.31197/atnaa.683089
View : 5 | Download : 2
Publication Date : 2020-12-30
Article Type : Research
Abstract :This work is concerned with a class of fourth-order elliptic Kirchhoff type problems involving the critical term. By means of the truncation and the concentration compact argument, for each positive integer k the existence of $k$ pairs nontrivial solutions is established.Keywords : Elliptic equations, Kirchhoff type problem, variational methods