p-Laplacian算子奇异三点边值问题正解的存在性  

Existence of positive solutions to a three-point singular boundary value problem with p-Laplacian

作　　者：严树林[1] 李志艳[2] 葛渭高[3] 

机构地区：[1]常州工程职业技术学院基础部,江苏常州213164 [2]河海大学常州校区数理部,江苏常州213022 [3]北京理工大学理学院,北京100081

出　　处：《扬州大学学报（自然科学版）》2007年第2期12-15,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金(10371006);河海大学常州校区青年科技基金(cq2006-09)

摘　　要：研究了一类具有p-Laplacian算子的奇异多点边值问题.在带λ的边值问题族有解的情况下,通过Leray-Schauder度理论证明所给奇异边值问题正解的存在性.A class of singular three-point boundary value problem with p-Laplacian opertor is studied. When boundary value problems with A have solutions, the existence of one positive solution of singular three-point boundary value problem with p-Laplacian is proved by Leray-Schauder degree theory .

关 键 词：奇异边值问题 P-LAPLACIAN算子 LERAY-SCHAUDER度理论 正解 

分 类 号：O175.8[理学—数学]