Multiplicity of solutions for fractional p ( z ) $p ( z ) $ -Kirchhoff-type equation

Abstract

Abstract This work deals with the existence and multiplicity of solutions for a class of variable-exponent equations involving the Kirchhoff term in variable-exponent Sobolev spaces according to some conditions, where we used the sub-supersolutions method combined with the mountain pass theory.

Keywords

• p ( z ) $p(z)$ -Laplacian
• Sub-supersolutions
• Variable exponents
• Existence
• Mountain pass theory
• Mathematical operators