含有一阶导数的一维p-Laplace方程的正解(英文)  

Positive Solution to an One-Dimensional p-Laplacian with First Derivative

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,南京210003

出　　处：《数学研究》2006年第4期354-359,共6页Journal of Mathematical Study

摘　　要：通过利用积分方程全连续算子的不动点指数对含有一阶导数的一维p-L ap lace方程建立了一个存在定理.这个定理表明此p-L ap lace方程必有一个正解,只要非线性项在某个有界集合上的“最大高度”是适当的.By applying the integral equations and the fixed point index of completely continuous operators an existenee theorem is established for an one-dimensional p-Laplacian with first derivative. This theorem shows that the p-Laplacian can have one positive solution provided the ＂maximal height＂ of nonlinear term is appropriate on a bounded set.

关 键 词：非线性 P-LAPLACE方程 边值问题 正解 存在性 

分 类 号：O175[理学—数学]