%0 Journal Article
%T Existence of Multiple Solutions for the One-dimensional Singular p-Laplacian Equations<br>一维奇异p-Laplacian方程多解的存在性
%A Zhang Xiaoyan
%A Sun Jingxian
%A <br>张晓燕
%A 孙经先
%J 数学物理学报(A辑)
%D 2006
%I 
%X This paper deals with the existence of multiple solutions for the singular p-Laplacian nonlinear BVP ((?)(u'))' a(t)f(u) = 0, u'(0) = u(l) = 0 (or u(0) = u'(l) = 0), where (?)(s) = |s|p-2s, p > 1. Sufficient conditions are established for the multiplicity of solutions of this problem by using Leggett-Williams theorem. The results presented here generalize many known results.
%K p-Laplacian operator
%K Leggett-Williams theorem
%K Cone<br>p-Laplacian算子
%K Leggett-Williams定理
%K 锥
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=A4B4293C9E518B5D&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=CA4FD0336C81A37A&sid=475189FCB44F11F6&eid=EB552E4CFC85690B&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=7&reference_num=10