具变号非线性项二阶p-Laplacian方程多点边值问题的对称正解  

Symmetric Positive Solution for Multi-point Boundary Value Problem with p-Laplacian and Sign Changing Nonlinearity

作　　者：杨刘[1] 

机构地区：[1]合肥师范学院应用数学研究所,安徽合肥230061

出　　处：《合肥师范学院学报》2015年第3期1-5,共5页Journal of Hefei Normal University

基　　金：国家自然科学基金项目(11201109)

摘　　要：利用双锥上不动点定理,本文研究一类具变号非线性项p-Laplace算子二阶微分方程m点边值问题正解的存在性,得到了问题至少两个对称正解存在的充分条件。By using the fixed point theorem in double cones, the existence results of double sysmetric positive solutions for a class of second order multi-point boundary value problem with p--Laplacian and sign changing nonlinearity is established.

关 键 词：不动点定理 P-LAPLACIAN算子 正解 锥 

分 类 号：O175.8[理学—数学]