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

Year 2020, Volume: 4 Issue: 4, 394 - 401, 30.12.2020

Mohammed Massar

https://doi.org/10.31197/atnaa.683089

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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