摘要
该文通过利用Leggett-Williams定理,建立了一维奇异p-Laplacian非线性边值问题 ((?)(u′))′+a(t)f(u)=0,u′(0)=u(1)=0(或者u(0)=u′(1)=0),其中(?)(s)=|s|p-2s, P>1三解的存在性定理,推广并丰富了以往文献的一些结论.
This paper deals with the existence of multiple solutions for the singular p-Laplacian nonlinear BVP(φ(u′))′+a(t)f(u)=0,u′(0)=u(1)=0(or u(0)=u′(1)=0)),where φ(s)=|s|^p-2s1,P〉1. Sufficient conditions are established for the multiplicity of solutions ofthis problem by using Leggett-Williams theorem. The results presented here generalize many known results.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2006年第1期143-149,共7页
Acta Mathematica Scientia
基金
国家自然科学基金(10371066)
数学天元基金(10526029)资助