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

共 50 条

[41] INFINITELY MANY NON-RADIAL SOLUTIONS FOR THE PRESCRIBED CURVATURE PROBLEM OF FRACTIONAL OPERATOR
Guo, Yuxia
Nie, Jianjun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (12) : 6873 - 6898
[42] MULTIPLE POSITIVE SOLUTIONS FOR DIRICHLET PROBLEM OF PRESCRIBED MEAN CURVATURE EQUATIONS IN MINKOWSKI SPACES
Ma, Ruyun
Chen, Tianlan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[43] The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
Corsato, Chiara
De Coster, Colette
Omari, Pierpaolo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (05) : 4572 - 4618
[44] Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation
Obersnel, Franco
Omari, Pierpaolo
NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, 2011, 540 : 165 - 185
[45] Solutions to the plateau problem for the prescribed mean curvature equation via the mountain pass lemma
Dozo, EL
Mariani, MC
STUDIES IN APPLIED MATHEMATICS, 1996, 96 (03) : 351 - 358
[46] Nodal radial solutions for a superlinear problem
Rouaki, Mohamed
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (02) : 563 - 571
[47] Radial Solutions of Neumann Problem for Periodic Perturbations of the Mean Extrinsic Curvature Operator
Mawhin, Jean
MILAN JOURNAL OF MATHEMATICS, 2011, 79 (01) : 95 - 112
[48] Radial Solutions of Neumann Problem for Periodic Perturbations of the Mean Extrinsic Curvature Operator
Jean Mawhin
Milan Journal of Mathematics, 2011, 79 : 95 - 112
[49] RADIAL LIMITS OF BOUNDED NONPARAMETRIC PRESCRIBED MEAN CURVATURE SURFACES
Entekhabi, Mozhgan
Lancaster, Kirk E.
PACIFIC JOURNAL OF MATHEMATICS, 2016, 283 (02) : 341 - 351
[50] RADIAL SOLUTIONS WITH A PRESCRIBED NUMBER OF ZEROS FOR A SUPERLINEAR DIRICHLET PROBLEM IN ANNULAR DOMAIN
Azeroual, Boubker
Zertiti, Abderrahim
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,

← 1 2 3 4 5 →