Positive rotationally symmetric solutions for a Dirichlet problem involving the higher mean curvature operator in Minkowski space

被引：7

作者：

Ma, Ruyun ^{[1
]}

Xu, Man ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 460卷 / 01期

关键词：

Higher mean curvature function; Minkowski spacetime; Positive solutions; Bifurcation; PRESCRIBED SCALAR CURVATURE; BOUNDARY-VALUE-PROBLEMS; GLOBAL STRUCTURE; RADIAL SOLUTIONS; HYPERSURFACES; EXISTENCE; EQUATION;

D O I：

10.1016/j.jmaa.2017.11.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the global behavior of positive rotationally symmetric solutions for Dirichlet problem involving the k-th mean curvature operator in Minkowski space Ln+1, which is not elliptic for k > 1. The proofs of our main results are based upon bifurcation techniques. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：33 / 46

页数：14

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