Positive radial solutions of a mean curvature equation in Lorentz-Minkowski space with strong singularity

被引：4

作者：

Pei, Minghe ^{[1
]}

Wang, Libo ^{[1
]}

机构：

[1] Beihua Univ, Sch Math & Stat, Jilin, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 09期

关键词：

Mean curvature equation; strong singularity; radial solution; Schauder fixed point theorem; existence and uniqueness; DIRICHLET PROBLEM; OPERATORS;

D O I：

10.1080/00036811.2018.1555322

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and uniqueness of positive radial solutions are obtained for a mean curvature equation in Lorentz-Minkowski space of the form div (-del nu/root 1 - vertical bar del nu vertical bar(2)) + f(vertical bar x vertical bar, v) = 0 in Omega, v = 0 on partial derivative Omega, where Omega is a unit ball in R-N, f (r, u) may be singular at r= 0 and/or r= 1, and strongly singular at u= 0. The main tool is the perturbation technique and Schauder fixed point theorem.

引用

页码：1631 / 1637

页数：7

共 16 条

[1] Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz-Minkowski space [J].