MULTIPLE POSITIVE SOLUTIONS FOR DIRICHLET PROBLEM OF PRESCRIBED MEAN CURVATURE EQUATIONS IN MINKOWSKI SPACES

被引：0

作者：

Ma, Ruyun ^{[1
]}

Chen, Tianlan ^{[2
]}

机构：

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

[2] Northwest Normal Univ, Lanzhou 730070, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Dirichlet problem; Minkowski-curvature; positive solutions; variational methods; RADIAL SOLUTIONS; EXISTENCE; OPERATOR; BALL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the Dirichlet problem for the prescribed mean curvature equation in the Minkowski space, [GRAPHICS] where B-R := {x epsilon R-N : |x| < R}, lambda > 0 is a parameter and f : [0, infinity) -> R is continuous. We apply some standard variational techniques to show how changes in the sign off lead to multiple positive solutions of the above problem for sufficiently large lambda.

引用

页数：7

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