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arXiv · 2309.12948

Radial positive solutions for mixed local and nonlocal supercritical Neumann problem

David Amundsen·Abbas Moameni·Remi Yvant Temgoua
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Abstract

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.

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David Amundsen, Abbas Moameni, Remi Yvant Temgoua. 2023-09-22. Radial positive solutions for mixed local and nonlocal supercritical Neumann problem. https://arxiv.org/abs/2309.12948

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