Existence of solutions for quasilinear elliptic equations involving a nonlocal term

Abstract

This article establishes the existence of solutions for a partial differential equation involving a quasilinear elliptic operator and a nonlocal term. The proofs of the main results are based on Schauder's fixed point theorem combined with variational arguments.

Keywords

• Quasilinear elliptic equation
• nonlocal term
• weak solution
• Schauder's fixed point theorem
• critical point