Multiple solutions for a class of anisotropic p⃗-Laplacian problems

Abstract

Abstract In this paper we present some existence and multiplicity results for a class of anisotropic p⃗-Laplacian problems with Dirichlet boundary conditions. In particular, the existence of three solutions is pointed out. The approach is based on variational methods and our main tool is a three critical point theorem.

Keywords

• Anisotropic operator
• Nonlinear elliptic equations
• Critical point theory