Bifurcation from interval and positive solutions of Minkowski-curvature on unbounded domain

被引:1
作者
Chen, Tianlan [1 ]
机构
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
关键词
Minkowski-curvature operator; Unbounded domains; Bifurcation interval; Positive solutions; RADIAL SOLUTIONS; OPERATOR; HYPERSURFACES;
D O I
10.1016/j.jmaa.2025.129422
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We construct the bifurcation of interval of positive radial solutions from the trivial solution to the following Minkowski-curvature problems on unbounded domains del u -div = lambda f (x, u), x is an element of RN, 1 - |del u|2 u -> 0, as |x| -> +infinity, where f is not necessarily linearizable at zero. The proof of main results are based on the topological degree and global bifurcation techniques. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数:12
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共 24 条
[1]   Ground state solution for a problem with mean curvature operator in Minkowski space [J].
Azzollini, A. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (04) :2086-2095
[2]   SPACELIKE HYPERSURFACES WITH PRESCRIBED BOUNDARY-VALUES AND MEAN-CURVATURE [J].
BARTNIK, R ;
SIMON, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 87 (01) :131-152
[3]   Existence and multiplicity results for some nonlinear problems with singular φ-Laplacian [J].
Bereanu, C. ;
Mawhin, J. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 243 (02) :536-557
[4]   Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space [J].
Bereanu, Cristian ;
Jebelean, Petru ;
Torres, Pedro J. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (04) :644-659
[5]   Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space [J].
Bereanu, Cristian ;
Jebelean, Petru ;
Torres, Pedro J. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 264 (01) :270-287
[6]  
Bonheure D., 2012, Rend. Ist. Mat. Univ. Trieste, V44, P259
[7]   Bifurcation and entire hypersurfaces of mean curvature equation in Minkowski space [J].
Cao, Xiaofei ;
Dai, Guowei .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (03)
[8]   Existence and Nonexistence of Solutions of Minkowski-Curvature Problems in Exterior Domains [J].
Chen, Tianlan ;
Wu, Haiyi .
QUARTERLY JOURNAL OF MATHEMATICS, 2024, 75 (02) :735-748
[9]   EXISTENCE OF SOLUTIONS FOR SYSTEMS OF MINKOWSKI-CURVATURE NEUMANN PROBLEMS [J].
Chen, Tianlan ;
Zhao, Yali .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (05) :1431-1444
[10]   Multiple positive solutions of second-order nonlinear difference equations with discrete singular φ-Laplacian [J].
Chen, Tianlan ;
Ma, Ruyun ;
Liang, Yongwen .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (01) :38-55