摘要
本文考虑一维p-Laplacian非线性边值问题(ψ(u′))′+f(t,u)=0,αψ(u(0))—βψ(u′(0))=O,γψ(u(1))+δψ(u′(1))=0,其中ψ(s):=|s|^(p-2)s,P>1.通过应用Krasnoselskii锥不动点定理,建立了该问题存在多个正解的充分条件,推广并丰富了以往文献的一些结论.
This paper deals with the existence of multiple positive solutions for the p-Laplacian nonlinear BVP, (ψ(u'))' + f(t, u) = 0, αψ(u(0)) - βψ(u'(0)) = 0, γψ(u(1)) + δψ(u'(1)) = 0, where ψ(s) := |s|p-2s, p > 1. Sufficient conditions are established for the multiplicity of positive solutions of this problem by using Krasnoselskii fixed point theorem in cones.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第4期805-810,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金(19871005)
]教委博士点专项基金(1999000722)
