Work

Degenerate singular equations with sign changing reaction

Year: 2025

Type: article

Abstract: 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).

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025082

Authors: Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng

Institutions: Guangxi University of Science and Technology, Chongqing Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond