Positive solutions for multipoint boundary value problems with a one-dimensional p -Laplacian
- 作者：Youyu Wang ; Weigao Ge
- 关键词：Multiple positive solutions ; Boundary value problems ; One-dimensional 11">none ; color ; black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JFHDXW-1&_mathId=mml11&_user=10&_cdi=5659&_rdoc=3&_acct=C000050221&_
- 刊名：Nonlinear Analysis
- 出版年：2007
- 期刊代码：43_0362546x
- 类别：mt
- 出版时间：15 March 2007
- 卷：66
- 期：6
- 页码：1246-1256
- 文件大小：173 K
摘要
In this paper we consider the multipoint boundary value problem for a one-dimensional JFHDXW-1&_mathId=mml2&_user=10&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=16c074bb08a4234cd0511868c931f0e0" title="Click to view the MathML source">p-Laplacian:
subject to the boundary value condition:
where 1&_mathId=mml5&_user=10&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=a2dec7fc139abdbe4eb76d19a3bb3204" title="Click to view the MathML source">p(s)=|s|p"12;2s,p>1,ξi(0,1) with 1&_mathId=mml6&_user=10&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=7c572c9355cd548df339b8cd42479c2e" title="Click to view the MathML source">0<ξ1<ξ2<<ξn"12;2<1, and 1&_mathId=mml7&_user=10&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=71ac82189b7ebef634a53fd1340902d8" title="Click to view the MathML source">;1;i,βi satisfy 1&_mathId=mml8&_user=10&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=29428c42b15afad14021b37b10e29566" title="Click to view the MathML source">;1;i,βi[0,"1e;), , and 10">. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem.