Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations

被引：3

作者：

Lu, Yanqiong ^{[1
]}

Ma, Ruyun ^{[1
]}

Gao, Hongliang ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2014年

基金：

美国国家科学基金会;

关键词：

mean curvature equations; positive solutions; existence; fixed point index; BOUNDARY-VALUE-PROBLEMS; NONLINEARITY;

D O I：

10.1186/1687-2770-2014-120

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish the existence and multiplicity results of positive solutions for one-dimensional prescribed mean curvature equations. Our approach is based on fixed point index theory for completely continuous operators which leave invariant a suitable cone in a Banach space of continuous functions.

引用

页数：12

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