Radial positive solutions for mixed local and nonlocal supercritical Neumann problem

被引：0

作者：

Amundsen, David ^{[1
]}

Moameni, Abbas ^{[1
]}

Temgoua, Remi Yvant ^{[1
]}

机构：

[1] Carleton Univ, Sch Math & Stat, Ottawa, ON, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 255卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Mixed local and nonlocal Neumann problem; Variational principle; Radial solutions; Supercritical nonlinearity; EXISTENCE;

D O I：

10.1016/j.na.2025.113763

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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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页数：16

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