Existence and Uniqueness of Solutions for Singular Double‐Phase Variable Exponent Equations
Giuseppe Failla, Leszek Gasiński, Nikolaos S. Papageorgiou · Mathematical Methods in the Applied Sciences · 2025
ABSTRACT We investigate the existence of positive solutions for a singular double‐phase problem with variable exponents. The reaction term is influenced by a sign‐changing Carathéodory function. Our main approach utilizes a pseudomonotone‐type operator. Additionally, by imposing specific assumptions, we establish the uniqueness of solutions.