On the influence of the lowest terms on Dirichlet-type problems for elliptic systems degenerate at a point
type: Item
instance of: scholarly article
title: On the influence of the lowest terms on Dirichlet-type problems for elliptic systems degenerate at a point
zbMATH Open document ID: 1034.35054
DOI: 10.1023/A:1012862614230
author: Yanyan Li
published in: Lithuanian Mathematical Journal
publication date: 2003-05-19T00:00:00Z
review text: Dirichlet-type problems for two weakly connected systems of elliptic equations of second order with a strong degeneracy at an inner point of the domain, when in a neighborhood of the point of degeneracy the asymptotics of a solution is additionally given, are studed. The form of the given asymptotics essentially depends on the properties of the coefficients at the first-order derivatives. Under some restrictions the existence and uniqueness of solutions of the problems considered in Hölder function classes are proved.
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1912586
zbMATH Keywords: degenerate elliptic systems of equations
zbMATH Keywords: asymptotics of solutions
zbMATH Keywords: modified Dirichlet problems
reviewed by: G. Jaiani
MaRDI profile type: Publication
full work available at URL: a:1012862614230
OpenAlex ID: W242643703
description: scientific article; zbMATH DE number 1912586