Uniqueness and multiplicity of positive solutions for one-dimensional prescribed mean curvature equation in Minkowski space

被引：9
作者：
He, Zhiqian [1 ]
Miao, Liangying [2 ]
机构：
[1] Qinghai Univ, Dept Basic Teaching & Res, Xining 810016, Peoples R China
[2] Qinghai Nationalities Univ, Sch Math & Stat, Xining 810007, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 04期
关键词：
mean curvature equation; positive solutions; multiplicity; uniqueness; cone; DIRICHLET PROBLEM; RADIAL SOLUTIONS; HYPERSURFACES;
D O I：
10.3934/math.2020249
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the uniqueness and multiplicity of positive solutions of one-dimensional prescribed mean curvature equation {-(u'/root 1 - u'(2))' = lambda f(u), u(x) > 0, -1 < x < 1, u(-1) = u(1) = 0, where lambda is a positive parameter. The main tool is the fixed point index in cones.
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页码：3840 / 3850
页数：11
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