Multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal terms and variable exponents

Abstract

This paper studies the existence and multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal nonlinearities and variable exponents. The equation involves a degenerate nonlinear operator with variable exponents, a nonlocal term, and growth conditions on the nonlinearity. Using critical point theory, we prove the existence of at least three weak solutions under general assumptions, extending the applicability of the results to a broad class of nonlinear problems in mathematical physics.