Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight

被引：14

作者：

Boscaggin, Alberto ^{[1
]}

Feltrin, Guglielmo ^{[2
]}

机构：

[1] Univ Torino, Dept Math, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Udine, Dept Math Comp Sci & Phys, Via Sci 206, I-33100 Udine, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 196卷

关键词：

Minkowski-curvature operator; Indefinite weight; Neumann problem; Positive solutions; Radial solutions; Topological degree; DIRICHLET PROBLEM; OPERATOR; EQUATION; SYSTEMS;

D O I：

10.1016/j.na.2020.111807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem {div (del u/root 1 - vertical bar del u vertical bar(2)) + lambda a(vertical bar x vertical bar u(p) = 0, in B, partial derivative(v)u = 0, on partial derivative B, where B is a ball centered at the origin, a(|x|) is a radial sign-changing function with integral(B) a(vertical bar x vertical bar) dx < 0, p > 1 and lambda > 0 is a large parameter. The proof is based on the Leray-Schauder degree theory and extends to a larger class of nonlinearities. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：14

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