On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 10 | Download : 6

Publication Date : 2020-12-30

Article Type : Research Paper

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

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