一类拟线性椭圆型方程组正对称解的存在性(英文)  

Existence of Positive Radial Solutions For a Class of Quasilinear Elliptic Systems

作　　者：杨作东[1] 

机构地区：[1]河南师范大学数学与信息科学学院

出　　处：《河南师范大学学报（自然科学版）》2003年第1期1-12,共12页Journal of Henan Normal University(Natural Science Edition)

基　　金：Project Supported by the National Science Foundation of China(No.10 172 0 11) and Foundation of theScience and Technology Office of Henan(No.9840 5 0 40 0 ) .

摘　　要：本文利用爆破方法和度理论 ,研究了一类拟线性椭圆型方程组在球域内正对称解的存在性 .此类问题存在于一般反应扩散理论 ,非牛顿流体理论 ,多孔媒质中的气体渗流等问题中 .结果是新的且推广了以前所知结果 .The author studies the existence of positive radial solutions for a class of quasilinear elliptic systems in ball domains via blowup arguments and degree theory, which occurs in the study of generalized diffusion theory, non-Newtonian fluid theory, and the turbulent flow of a gas in porous medium.The results of this paper are new and extend previously known results.

关 键 词：存在性 拟线性椭圆型方程组 正对称解 爆破方法 度理论 反应扩散理论 

分 类 号：O175.25[理学—数学] O241.82[理学—基础数学]