Existence and uniqueness of solutions for nonlocal elliptic problems with Neumann boundary conditions and some examples
In this paper, we consider a nonlocal elliptic equation under Neumann boundary conditions with parameter λ > 0 . We show that the number of positive solutions of our problem is equivalent to the number of solutions of an algebraic equation and we also consider the existence and uniqueness of positive solutions of our problem. Some examples are listed to illustrate our theorems.
Authors
- Donal O’Regan (ORCID: https://orcid.org/0000-0002-4096-1469)
- Baoqiang Yan (ORCID: https://orcid.org/0000-0001-6601-6433)
Institutions
- Ollscoil na Gaillimhe – University of Galway (IE)
- Shandong Normal University (CN)
Publication Details
- Journal
- Examples and Counterexamples
- Published
- 2025-11-08
- DOI
- https://doi.org/10.1016/j.exco.2025.100208
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00