A note on a superlinear indefinite Neumann problem with multiple positive solutions

被引：25

作者：

Boscaggin, Alberto ^{[1
]}

机构：

[1] SISSA ISAS, Int Sch Adv Studies, I-34136 Trieste, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 377卷 / 01期

关键词：

Nonlinear boundary value problems; Indefinite weight; Positive solutions; Shooting method; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.jmaa.2010.10.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of three positive solutions for the Neumann problem associated to u(n) + a(t)u(gamma+1) = 0, assuming that a(t) has two positive humps and integral(T)(0) a(-)(t)dt is large enough. Actually, the result holds true for a more general class of superlinear nonlinearities. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：259 / 268

页数：10

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