The optimal weighted \(W^{2, p}\) estimates of elliptic equation with non-compatible conditions
type: Item
instance of: scholarly article
title: The optimal weighted \(W^{2, p}\) estimates of elliptic equation with non-compatible conditions
zbMATH Open document ID: 1237.35026
author: Juan-Miguel Gracia
published in: Communications on Pure and Applied Analysis
publication date: 2011-12-19T00:00:00Z
review text: From the authors' abstract: We study uniformly elliptic equations with non-compatible conditions, where \(\Omega\) is a bounded Lipschitz domain, and the right-hand side term and the boundary value of the elliptic equations belong to \(L^p\) (\(p\geq 2\)) space. Then the optimal weighted \(W^{2,p}\) estimates will be given by Whitney decomposition and \(L^p\) estimates of non-tangential maximal function associated to solutions of the elliptic equations.
reviewed by: Giuseppe Di Fazio
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5989617
zbMATH Keywords: elliptic equations
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: non-compatible conditions
zbMATH Keywords: Whitney decomposition
zbMATH Keywords: non-tangential maximal function
MaRDI profile type: Publication
full work available at URL: cpaa.2011.10.561
OpenAlex ID: W2332339302
DOI: 10.3934/CPAA.2011.10.561
description: scientific article; zbMATH DE number 5989617