The Dirichlet problem for elliptic equations in unbounded domains of the plane
type: Item
instance of: scholarly article
title: The Dirichlet problem for elliptic equations in unbounded domains of the plane
zbMATH Open document ID: 1152.35026
DOI: 10.1155/2008/872891
author: Paola Cavaliere
author: Maria Transirico
published in: Journal of Function Spaces and Applications
publication date: 2008-10-20T00:00:00Z
review text: Summary: We prove a uniqueness and existence theorem for the Dirichlet problem in \(W^{2,p}\) for second-order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 5354255
zbMATH Keywords: linear elliptic equations
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: unbounded domains
zbMATH Keywords: VMO
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/872891
OpenAlex ID: W2154462155
description: scientific article; zbMATH DE number 5354255