Second order regularity for a linear elliptic system having BMO coefficients
type: Item
instance of: scholarly article
title: Second order regularity for a linear elliptic system having BMO coefficients
zbMATH Open document ID: 1482.35062
author: Gioconda Moscariello
author: Giulio Pascale
published in: Milan Journal of Mathematics
publication date: 2022-01-24T00:00:00Z
review text: The authors study qualitative properties of the solutions of a Dirichlet problem related to a linear elliptic system of second order. They prove that the gradient of the solution is weakly differentiable. The main assumption is that the matrix of highest order derivatives \(A(x)\) is symmetric, positive definite matrix with measurable coefficients and that the entries of the matrix \(A\) lie in the John-Nirenberg space of bounded mean oscillation class. Moreover, it is supposed a specific growth condition of the type \[ |A(x + he_i) - A(x)| \leq K(x) h, \] where \(K \in L^{n, \infty}\) plays the role of the derivative \(D_x A\).
reviewed by: Maria Alessandra Ragusa
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 7462040
zbMATH Keywords: linear elliptic systems
zbMATH Keywords: \textit{BMO} spaces
zbMATH Keywords: Hodge decomposition
MaRDI profile type: Publication
full work available at URL: s00032-021-00345-8
OpenAlex ID: W3214438871
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DOI: 10.1007/S00032-021-00345-8
description: scientific article; zbMATH DE number 7462040