Degenerate singular equations with sign changing reaction
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).
Authors
- Yunru Bai (ORCID: https://orcid.org/0000-0001-7235-2994)
- Shengda Zeng (ORCID: https://orcid.org/0000-0003-1818-842X)
- Nikolaos S. Papageorgiou (ORCID: https://orcid.org/0000-0003-4800-1187)
Institutions
- Chongqing Normal University (CN)
- Guangxi University of Science and Technology (CN)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - S
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcdss.2025082
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministerul Cercetării, Inovării şi Digitalizării
- National Natural Science Foundation of China
- Natural Science Foundation of Chongqing
- Guangxi University
- Centre Scientifique et Technique du Bâtiment
- Guangxi University of Science and Technology