摘要
该文利用锥上的不动点定理,给出四阶超线性奇异p-Laplacian边值问题正解存在的充分必要条件.所给出的条件与非线性项的可积性有关.
Necessary and sufficient conditions for existence of positive solutions of fourth order singular superlinear p-Laplacian BVPs are established by employing the fixed point theorem in cones. The conditions involve the integral of the nonlinear terms.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2009年第2期344-352,共9页
Acta Mathematica Scientia
基金
国家自然科学基金(10671141)资助
关键词
正解
四阶微分方程
边值问题
充要条件.
Positive solution
Fourth order differential equation
Boundary value problem
Necessary and sufficient condition.