Nonhomogeneous singular equations with an indefinite potential and a superlinear perturbation
We consider a Dirichlet problem driven by the (p,q)-Laplacian long with an indefinite potential term. In the reaction, we have the effects of a parametric singular term plus a superlinear Carathèodory perturbation. No Ambrosetti-Rabinowitz condition or any of its variants is used. Using variational tools together with truncation and comparison techniques, we prove a bifurcation-type result: an existence and multiplicity theorem that is global in the parameter $ \lambda>0 $.
Authors
- Anass Ourraoui (ORCID: https://orcid.org/0000-0002-9952-7640)
- Nikolaos S. Papageorgiou
Institutions
- National Technical University of Athens (GR)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - S
- Published
- 2025-10-16
- DOI
- https://doi.org/10.3934/dcdss.2025149
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00