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.
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2018-10-01
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Series: | Advances in Nonlinear Analysis |
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Online Access: | https://doi.org/10.1515/anona-2018-0090 |
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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 |
_version_ |
1717769732739825664 |