Existence of multiple weak solutions to a weighted quasilinear elliptic equation

Abstract

In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of at least three weak solutions, under the assumption that the nonlinearity meets appropriate conditions.

Keywords

• Variational methods
• Hardy terms
• Degenerate p-Laplacian operators