Exact number of solutions of a prescribed mean curvature equation

被引：33

作者：

Li, Weisheng ^{[1
,2
]}

Liu, Zhaoli ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Qiongzhou Univ, Dept Math, Hainan 572200, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 367卷 / 02期

关键词：

Exact number of solutions; One-dimensional prescribed mean curvature equation; Time-map analysis; PROBLEMS INVOLVING CONCAVE; POSITIVE SOLUTIONS; EXACT MULTIPLICITY; UNIQUENESS;

D O I：

10.1016/j.jmaa.2010.01.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the exact number of positive solutions of the Dirichlet problem for the one-dimensional prescribed mean curvature equation -(u'/root 1 + u'(2))' = lambda(u(p)+u(q)), u(0) = u(1) = 0, where lambda > 0 is a parameter and p, q satisfy either 1 < p < q < +infinity or 0 < p < q < 1. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：486 / 498

页数：13

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