Quasilinear Fractional Neumann Problems
We study an elliptic quasilinear fractional problem with fractional Neumann boundary conditions, proving an existence and multiplicity result without assuming the classical Ambrosetti–Rabinowitz condition. Improving previous results, we also provide the weak formulation of solutions without regularity assumptions and we provide an example, even in the linear case, for which no regularity can indeed be assumed.
Authors
- Edoardo Proietti Lippi (ORCID: https://orcid.org/0009-0008-7838-8654)
- Dimitri Mugnai (ORCID: https://orcid.org/0000-0001-8908-5220)
Institutions
- Università degli Studi della Tuscia (IT)
- The University of Western Australia (AU)
Publication Details
- Journal
- Mathematics
- Published
- 2024-12-29
- DOI
- https://doi.org/10.3390/math13010085
- Citations
- 2
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.95
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni