Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

Abstract

This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent. As a particular case, we study the following degenerate Kirchhoff-type nonlocal problem:

Keywords

• schrödinger–kirchhoff problem
• fractional p–laplacian
• multiple solutions
• critical exponent
• principle of concentration compactness
• 35r11
• 35a15
• 47g20