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Main Authors: Amundsen, David, Moameni, Abbas, Temgoua, Remi Yvant
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.12948
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author Amundsen, David
Moameni, Abbas
Temgoua, Remi Yvant
author_facet Amundsen, David
Moameni, Abbas
Temgoua, Remi Yvant
contents In this paper, we establish the existence of positive non-decreasing radial solutions for a nonlinear mixed local and nonlocal Neumann problem in the ball. No growth assumption on the nonlinearity is required. We also provide a criterion for the existence of non-constant solutions provided the problem possesses a trivial constant solution.
format Preprint
id arxiv_https___arxiv_org_abs_2309_12948
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Radial positive solutions for mixed local and nonlocal supercritical Neumann problem
Amundsen, David
Moameni, Abbas
Temgoua, Remi Yvant
Analysis of PDEs
In this paper, we establish the existence of positive non-decreasing radial solutions for a nonlinear mixed local and nonlocal Neumann problem in the ball. No growth assumption on the nonlinearity is required. We also provide a criterion for the existence of non-constant solutions provided the problem possesses a trivial constant solution.
title Radial positive solutions for mixed local and nonlocal supercritical Neumann problem
topic Analysis of PDEs
url https://arxiv.org/abs/2309.12948