Global regularity for systems with p-structure depending on the symmetric gradient

In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.

Bibliographic Details
Main Authors:	Berselli Luigi C., Růžička Michael
Format:	Article
Language:	English
Published:	De Gruyter 2018-10-01
Series:	Advances in Nonlinear Analysis
Subjects:	regularity of weak solutions symmetric gradient boundary regularity natural quantities 76a05 35d35 35q35
Online Access:	https://doi.org/10.1515/anona-2018-0090

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spelling	doaj-eb98aacccd2f4831963786dd5709fca72021-09-06T19:39:55ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2018-10-019117619210.1515/anona-2018-0090anona-2018-0090Global regularity for systems with p-structure depending on the symmetric gradientBerselli Luigi C.0Růžička Michael1Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 1/c, 56127Pisa, ItalyInstitute of Applied Mathematics, Albert-Ludwigs-University Freiburg, Eckerstr. 1, 79104Freiburg, GermanyIn this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.https://doi.org/10.1515/anona-2018-0090regularity of weak solutionssymmetric gradientboundary regularitynatural quantities76a05 35d35 35q35
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Berselli Luigi C. Růžička Michael
spellingShingle	Berselli Luigi C. Růžička Michael Global regularity for systems with p-structure depending on the symmetric gradient Advances in Nonlinear Analysis regularity of weak solutions symmetric gradient boundary regularity natural quantities 76a05 35d35 35q35
author_facet	Berselli Luigi C. Růžička Michael
author_sort	Berselli Luigi C.
title	Global regularity for systems with p-structure depending on the symmetric gradient
title_short	Global regularity for systems with p-structure depending on the symmetric gradient
title_full	Global regularity for systems with p-structure depending on the symmetric gradient
title_fullStr	Global regularity for systems with p-structure depending on the symmetric gradient
title_full_unstemmed	Global regularity for systems with p-structure depending on the symmetric gradient
title_sort	global regularity for systems with p-structure depending on the symmetric gradient
publisher	De Gruyter
series	Advances in Nonlinear Analysis
issn	2191-950X
publishDate	2018-10-01
description	In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.
topic	regularity of weak solutions symmetric gradient boundary regularity natural quantities 76a05 35d35 35q35
url	https://doi.org/10.1515/anona-2018-0090
work_keys_str_mv	AT berselliluigic globalregularityforsystemswithpstructuredependingonthesymmetricgradient AT ruzickamichael globalregularityforsystemswithpstructuredependingonthesymmetricgradient
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Global regularity for systems with p-structure depending on the symmetric gradient

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