Multiple solutions for a quasilinear Schrödinger equation involving critical Hardy–Sobolev exponent with Robin boundary condition

Abstract

In this paper, we consider the existence of multiple solutions for a quasilinear Schrödinger equation with Robin boundary condition involving critical Hardy–Sobolev exponent as follows: where satisfies suitable condition. Using variable substitution and Mountain Pass Theorem, we prove that the above equation admits at least two nontrivial solutions.