一维p-Laplacian算子的非线性三点边值问题解的存在性  

Existence of solution for nonlinear three-point boundary value problems with one-dimensional p-Laplacian operator

作　　者：董艳艳[1] 

机构地区：[1]苏州高等幼儿师范学校,江苏苏州215008

出　　处：《徐州师范大学学报（自然科学版）》2010年第1期41-44,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10626004);江苏省2007年研究生创新工程培养项目(CX07S-015z);江苏省自然科学基金资助项目(BK2008119);江苏省高校自然科学基金资助项目(08KJB110011)

摘　　要：运用Leray-Schauder不动点定理,研究了含有一维p-Laplacian算子的非线性三点边值问题解的存在性.结果表明:如果非线性项在其定义域的某个有界子集的"高度"是适当的,那么该问题必存在解或正解.In this paper, we are concerned with the nonlinear three-point boundary value problems with one-dimensional p-Laplacian operator. By using Leray-Schauder fixed point theorem, the existence of solution is established for the class of equations. The main results show that the class of equations has at least one solution or positive solution if the ＂height＂ of nonlinear term is appropriate on a bounded subset of its domain.

关 键 词：一维p-Laplacian算子 三点边值问题 LERAY-SCHAUDER不动点定理 

分 类 号：O175.8[理学—数学]