一类奇异边值问题三解的存在性  

Existence of three solutions to a class of singular boundary value problems

作　　者：姜威[1] 洪子康[1] 

机构地区：[1]南京信息工程大学数理学院,南京210044

出　　处：《南京信息工程大学学报（自然科学版）》2009年第4期382-384,共3页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

摘　　要：利用Leggett-W illiam s不动点定理,研究了一类含有p-Lap lac ian算子的非线性奇异边值问题3个解的存在性,获得了这类方程存在3个解的充分条件.结果表明:如果非线性奇异项在其定义域内满足适当的条件,那么该问题必存在3个解.Using the Leggett-Williams theorem, this class of singular boundary value problems containing paper mainly deals with the existence of three solutions to a p-Laplacian operators, and sufficient conditions are established for the three solutions of the problem. The chief results show that, when a nonlinear singular term satisfies suitable conditions, there must be three solutions of the problem.

关 键 词：P-LAPLACIAN算子 Leggett—Williams定理 不动点 锥 

分 类 号：O175.8[理学—数学]