吉林大学学报（理学版）Issue(6)：1136-1144,9.DOI:10.13413/j.cnki.jdxblxb.2014.06.06
一类一维 p-Laplacian 非线性奇异三点边值问题正解的存在性
Existence of Positive Solution for One-Dimensional Singular p-Laplacian Three-Point Boundary Value Problems
摘要
Abstract
Using nonlinear Leray-Schauder alternative theorem and fixed point theorem in cones,we obtained the one-dimensional nonlinear singular p-Laplacian three-point boundary value problem (Φ(u′))′+q(t)f (u(t))=0, 0 < t < 1, u(0)=0, u(1)=αu (η), 0 <η< 1, 0 <α<{1 that possesses a positive solution u∈C[0,1]∩C 1 (0,1 ],and u >0 on (0,1 ].Here Φ(s )= s p -2 s , p >1,q(t)has singularity when t=0,and f has singularity when u=0.关键词
Leray-Schauder 抉择定理/锥不动点定理/非线性奇异三点边值问题/正解的存在性Key words
Leray-Schauder alternative theorem/fixed point theorem in cones/nonlinear singular three-point boundary value problem/existence of positive solution分类
数理科学引用本文复制引用
白杰,祖力..一类一维 p-Laplacian 非线性奇异三点边值问题正解的存在性[J].吉林大学学报（理学版）,2014,(6):1136-1144,9.基金项目
国家自然科学基金(批准号:10971021) （批准号:10971021）
