Two Positive Solutions for Elliptic Differential Inclusions
The existence of two positive solutions for an elliptic differential inclusion is established, assuming that the nonlinear term is an upper semicontinuous set-valued mapping with compact convex values having subcritical growth. Our approach is based on variational methods for locally Lipschitz functionals. As a consequence, a multiplicity result for elliptic Dirichlet problems having discontinuous nonlinearities is pointed out.
Authors
- Donal O’Regan (ORCID: https://orcid.org/0000-0002-4096-1469)
- Gabriele Bonanno (ORCID: https://orcid.org/0000-0003-4115-7963)
- Bruno Vassallo (ORCID: https://orcid.org/0009-0001-4363-5837)
- Valeria Morabito (ORCID: https://orcid.org/0009-0005-4156-8510)
Institutions
- University of Messina (IT)
- Ollscoil na Gaillimhe – University of Galway (IE)
Publication Details
- Journal
- AppliedMath
- Published
- 2024-11-05
- DOI
- https://doi.org/10.3390/appliedmath4040074
- Citations
- 1
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.97