| 一类拟线性椭圆型方程组正对称解的存在性 |
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| 引用本文： | 杨作东.一类拟线性椭圆型方程组正对称解的存在性[J].河南师范大学学报(自然科学版),2003,31(1):1-12. |
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| 作者姓名： | 杨作东 |
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| 作者单位： | 河南师范大学数学与信息科学学院;河南师范大学学报编辑部,河南新乡,453002 |
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| 基金项目： | 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 ) . |
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| 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，多孔煤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。
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| 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 |
Existence of Positive Radial SolutionsFor a Class of Quasilinear Elliptic Systems |
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| Abstract.Existence of Positive Radial SolutionsFor a Class of Quasilinear Elliptic Systems[J].Journal of Henan Normal University(Natural Science),2003,31(1):1-12. |
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| Authors: | Abstract |
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| Abstract: | 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. |
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| Keywords: | Quasilinear elliptic system Positive radial solution Blowup argument Degree theory |
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