Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents

Abstract

Abstract In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational method.

Keywords

• Quasilinear elliptic equation
• Nontrivial weak solution
• Multiple critical exponents
• Variational method