具变号非线性项p-Laplace算子微分方程三点边值问题的对称正解  

Symmetric Positive Solutions for Three-point Boundary Value Problem with p-Laplacian Operator and Sign-changing Nonlinearity

作　　者：沈春芳[1] 杨刘[1] 

机构地区：[1]合肥师范学院数学系,安徽合肥230061

出　　处：《合肥师范学院学报》2013年第6期1-3,共3页Journal of Hefei Normal University

基　　金：国家自然科学基金(11201109);安徽省自然科学基金(10040606Q50);安徽省高校省级自然科学研究项目(2012B144;2012z335)

摘　　要：本文研究一类具变号非线性项p-Laplace算子微分方程三点边值问题,利用双锥上不动点定理,克服变号非线性项带来的困难,得到了问题两个对称正解的存在性结果。In this paper, we consider the three point boundary value problem for nonlinear differential equa tion with pLaplacian operator and signchanging nonlinearity. By using the fixed point theorem in double cones, we establish the existence result of at least two positive symmetirc solutions.

关 键 词：不动点定理 P-LAPLACIAN算子 正解 锥 

分 类 号：O175.8[理学—数学]