非线性项变号的一维p-Laplace方程混合边值问题的正解  

Positive Solutions for Mixed Boundary Value Problems of One-Dimensional p-Laplacian Equations with Nonlinearities Changing Signs

作　　者：苗春梅[1] MIAO Chunmei(Schoog off Science, Changchun University, Changchun 130022, China)

机构地区：[1]长春大学理学院,长春130022

出　　处：《吉林大学学报（理学版）》2018年第3期578-581,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11001032;41701054);长春大学培育项目(批准号:2016JBB08L16)

摘　　要：考虑非线性项变号的一维p-Laplace方程混合边值问题正解的存在性,应用nowhere normal-outward紧映射的不动点指数理论,在f(t,0)≥0且满足p-次线性条件下,得到了问题正解的存在性.The author considered the existence of positive solutions for the mixed boundary value problems of the one-dimensional p-Laplacian equations with nonlinearities changing signs,by using the nowhere normal-outward compact map＇s fixed point index theorem,under the condition of f（t,0）≥0 and p-sublinear conditions,the author obtained the existence of the positive solution of the problem.

关 键 词：P-LAPLACE方程 nowhere normal-outward映射 不动点指数 正解 

分 类 号：O175.8[理学—数学]