MULTIPLE POSITIVE SOLUTIONS OF SOME BOUNDARY-VALUE-PROBLEMS

被引：211

作者：

ERBE, LH

HU, SC

WANG, HY

机构：

[1] SW MISSOURI STATE UNIV,DEPT MATH,SPRINGFIELD,MO 65804

[2] MICHIGAN STATE UNIV,DEPT APPL MATH,E LANSING,MI 48824

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 184卷 / 03期

关键词：

D O I：

10.1006/jmaa.1994.1227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of multiple positive solutions of the equations -u'' = f(t, u), subject to linear boundary conditions. We show that there are at least two positive solutions if f(t, u) is superlinear at one end point (zero or infinity) and sublinear at the other. Applications of these results are provided to yield multiple positive solutions of some elliptic boundary value problems on an annulus. (C) 1994 Academic Press, Inc.

引用

页码：640 / 648

页数：9

共 12 条

[1] SEMILINEAR ELLIPTIC PROBLEMS IN ANNULAR DOMAINS [J].