p(x)-Laplacian方程解的渐近性(英文)  

The asymptotic behavior of solutions for p(x)-Laplacian equations

作　　者：张启虎[1] 

机构地区：[1]郑州轻工业学院信息与计算科学系,河南郑州450002

出　　处：《郑州轻工业学院学报（自然科学版）》2007年第5期92-95,共4页Journal of Zhengzhou University of Light Industry:Natural Science

基　　金：Supported by the National Natural Science Foundation of China(10701066,10671084);the Natural Science Foundation of Henan Education Committee(2007110037)

摘　　要：研究了无界域上p(x)-Laplacian方程径向对称的正解在无穷远处的渐近性.在一定条件下给出了解u(x)的衰减速度,并且还给出了解u(x)的导数u′(x)的衰减速度.The asymptotic behavior of positive radial solutions near infinity for p（x）-Laplacian equations was considered. Under some conditions, the decay speed of solution u （x） was given. Moreover, the decay speed of u′（x） was given.

关 键 词：p(x)-Laplacian方程 广义Lebesgue-Sobolev空间 渐近性 

分 类 号：O175[理学—数学]