Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems

Abstract

In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms. Using the concentration compactness principle and Nehari manifold, we obtain the existence and multiplicity of nonzero non-negative solutions.

Keywords

• Kirchhoff type equation
• critical exponents
• changing-sign potential
• Nehari manifold