Degenerate singular equations with sign changing reaction
Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng · Discrete and Continuous Dynamical Systems - S · 2025
We consider an elliptic equation driven by the nonautonomous degenerate $ p $-Laplacian and with a reaction which exhibits a parametric singular term and a superlinear perturbation. Using the theory of weighted spaces together with variational tools, truncations, comparisons techniques, and critical groups, we prove on existence and multiplicity theorem, which is global in the parameter (i.e., a bifurcation-type theorem).