Existence of solutions to nonlocal elliptic problems with singular and combined nonlinearities
Date
2022-06-27
Authors
Leon Tordecilla, Jesus Alberto
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We use an approximation scheme together with a variation of the fixed point theorem to show the existence of a positive solution to a nonlocal boundary value problem. This problem has a smooth bounded domain in ℝN, a singular term, and combined nonlinearities. We also study the symmetric, monotonicity, and asymptotic behavior of the solutions with respect to a parameter involved in the problem.
Description
Keywords
Nonlocal problem, Singular equation, Galerkin method, Positive solution, Asymptotic behavior
Citation
Leon Tordecilla, J. A. (2022). Existence of solutions to nonlocal elliptic problems with singular and combined nonlinearities. <i>Electronic Journal of Differential Equations, 2022</i>(40), pp. 1-16.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.