On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter

Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (1): 25-50.

On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter

江福汝

Fudan University, Shanghai

收稿日期:1980-02-20 出版日期:1981-01-18 发布日期:1981-01-18

On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter

Jiang Fu-ru

Fudan University, Shanghai

Received:1980-02-20 Online:1981-01-18 Published:1981-01-18

摘要/Abstract

摘要： In this paper we deal with the Dirichlet problem for quasilinear elliptic equation with a small parameter at highest derivatives. In case the characteristics of the degenerated equation are curvilinear and the domain, where the problem is defined, is a bounded convex domain, we offer a method to construct the uniformly valid asymptotic solution of this problem, and prove that the solution of this problem really exists, and being uniquely determined as the small parameter is sufficiently small.

关键词: neural networks, global attractivity, global exponential stability

Abstract: In this paper we deal with the Dirichlet problem for quasilinear elliptic equation with a small parameter at highest derivatives. In case the characteristics of the degenerated equation are curvilinear and the domain, where the problem is defined, is a bounded convex domain, we offer a method to construct the uniformly valid asymptotic solution of this problem, and prove that the solution of this problem really exists, and being uniquely determined as the small parameter is sufficiently small.

Key words: neural networks, global attractivity, global exponential stability

江福汝. On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(1): 25-50.

Jiang Fu-ru . On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(1): 25-50.

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On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter

On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter

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