On the Dirichlet problem for quasilinear elliptic equation with a small parameter
type: Item
instance of: scholarly article
title: On the Dirichlet problem for quasilinear elliptic equation with a small parameter
zbMATH Open document ID: 0611.35022
DOI: 10.1007/BF02432051
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1981-01-01T00:00:00Z
review text: We deal with the Dirichlet problem for a quasilinear elliptic equation with a small parameter at the 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.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 3987795
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: small parameter
zbMATH Keywords: characteristics
zbMATH Keywords: convex domain
zbMATH Keywords: asymptotic solution
author: Fu-ru Jiang
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3987795