Work

Existence and uniqueness of solutions for nonlocal elliptic problems with Neumann boundary conditions and some examples

Year: 2025

Type: article

Abstract: In this paper, we consider a nonlocal elliptic equation under Neumann boundary conditions. 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.

Source: Examples and Counterexamples

DOI: 10.1016/j.exco.2025.100208

Authors: Baoqiang Yan, Donal O’Regan

Institutions: Shandong Normal University, Ollscoil na Gaillimhe – University of Galway

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $420

Funders: National Natural Science Foundation of China, National Outstanding Youth Science Fund Project of National Natural Science Foundation of China