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一类拟线性椭圆型方程Dirichlet问题的上下解方法
引用本文:陈融生.一类拟线性椭圆型方程Dirichlet问题的上下解方法[J].厦门大学学报(自然科学版),1990,29(2):129-132.
作者姓名:陈融生
作者单位:厦门大学福建财会管理学院 (陈融生),厦门大学(辜联昆)
摘    要:利用上下解方法,借助变分不等方程,在一般条件下证明一类拟线性椭圆型方程Dirichelt 问题广义解存在性。

关 键 词:拟线性  椭圆性  上下解  广义解

Supersolution-Subsolution Method for the Dirichlet Problem for a Class of Quasilinear Elliptic Equations
Chen Rongsheng Gu LiankunAdmin. Cadre Call,of Fin. and Accounting. Xiamen Universily.Supersolution-Subsolution Method for the Dirichlet Problem for a Class of Quasilinear Elliptic Equations[J].Journal of Xiamen University(Natural Science),1990,29(2):129-132.
Authors:Chen Rongsheng Gu LiankunAdmin Cadre Call  of Fin and Accounting Xiamen Universily
Abstract:In the paper the Dinchlet problem for a class of quasilinear elliptic equations has been discussed. By means of supersolution-subsolution method the existence of the generalized solution of the problem has been proven if there exist a generalized supersolution and a generalized subsolution of the problem.
Keywords:Supersolution-subsolution  Generalized solution  Variation inequality  Fixed point
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