Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain

被引：18

作者：

Yang, Rui ^{[1
]}

Lee, Yong-Hoon ^{[1
]}

Sim, Inbo ^{[2
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 46241, South Korea

[2] Univ Ulsan, Dept Math, Ulsan 44610, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Mean curvature; Exterior domain; Singular weight; Global bifurcation; Nodal radial solutions; Asymptotic behavior; DIRICHLET PROBLEM; SPACELIKE HYPERSURFACES; POSITIVE SOLUTIONS; OPERATORS; NEUMANN;

D O I：

10.1016/j.jde.2019.10.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence and multiplicity of nodal radial solutions for a prescribed mean curvature problem on the exterior domain of a ball using the global bifurcation theory. Moreover, we establish the asymptotic behavior of the solutions on the subcontinua, which bifurcate from a trivial branch. All results are obtained by considering a radially equivalent second order problem with a singular weight. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：4464 / 4490

页数：27

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