Resonant singular problems with unbalanced growth
Zeitschrift für Analysis und ihre Anwendungen, vol.2026, no.1, pp.1-22, 2026 (Peer-Reviewed Journal)
- Publication Type: Article / Article
- Volume: 2026 Issue: 1
- Publication Date: 2026
- Doi Number: 10.4171/zaa/1811
- Journal Name: Zeitschrift für Analysis und ihre Anwendungen
- Page Numbers: pp.1-22
- Hacettepe University Affiliated: Yes
Abstract
We consider a Dirichlet problem driven by a differential operator with unbalanced growth and a reaction exhibiting the combined effects of a parametric singular term and a resonant perturbation. Using a combination of variational tools and critical groups, we show that, for all small values of the parameter, the problem has at least two bounded positive solutions.