Existence of Positive Solutions of One-Dimensional Prescribed Mean Curvature Equation

被引：0

作者：

Ma, Ruyun ^{[1
]}

Jiang, Lingfang ^{[1
]}

机构：

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

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

基金：

美国国家科学基金会;

关键词：

PROBLEMS INVOLVING CONCAVE; EXACT MULTIPLICITY; EXACT NUMBER;

D O I：

10.1155/2014/610926

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the existence of positive solutions of one-dimensional prescribed mean curvature equation -(u'/root 1+u'(2))' = lambda f(u), 0 < t < 1, u(t) > 0,t is an element of (0, 1), u(0) = u(1) = 0 where lambda > 0 is a parameter, and f: [0,infinity) -> [0,infinity) is continuous. Further, when f satisfies max {u(p),u(q)} <= f(u) <= u(p) + u(q), 0 < p <= q + infinity, we obtain the exact number of positive solutions. The main results are based upon quadrature method.

引用

页数：10

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