Partial regularity for elliptic systems with critical growth
type: Item
instance of: scholarly article
title: Partial regularity for elliptic systems with critical growth
zbMATH Open document ID: 1500.35076
DOI: 10.4171/RLM/971
author: Teresa Isernia
author: Chiara Leone
author: Anna Verde
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2022-10-17T00:00:00Z
review text: Summary: We prove a partial Hölder regularity result for weak solutions \(u : \Omega\to\mathbb{R}^N, N \geq 2\), to non-autonomous elliptic systems with general growth of the type \[ - \operatorname{div} a (x,u,Du) = b (x,u,Du)\quad \text{in } \Omega. \] The crucial point is that the operator \(a\) satisfies very weak regularity properties and general growth, while for the inhomogeneity \(b\) we allow a critical growth condition.
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7602449
zbMATH Keywords: elliptic systems
zbMATH Keywords: general growth
zbMATH Keywords: partial regularity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7602449