Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent

Abstract

Abstract In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions.

Keywords

• Kirchhof-type equation
• Positive solution
• Sobolev–Hardy critical exponent
• Mountain pass theorem