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Symmetry for a general class of overdetermined elliptic problems

Friedemann Brock

Nonlinear Differential Equations and Applications NoDEA, Volume: 23, Issue: 3

Swansea University Author: Friedemann Brock

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DOI (Published version): 10.1007/s00030-016-0390-1

Abstract

We show that solutions to a general class of overdetermined problems for degenerate elliptic equations can be situated only in a ball. Moreover, the solutions satisfysome “local” kind of symmetry. The proof is based on the method of continuous Steiner symmetrization

Published in: Nonlinear Differential Equations and Applications NoDEA
ISSN: 1021-9722 1420-9004
Published: Springer Science and Business Media LLC 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa48745
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first_indexed 2019-02-11T11:58:03Z
last_indexed 2019-07-31T16:25:48Z
id cronfa48745
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spelling v2 48745 2019-02-07 Symmetry for a general class of overdetermined elliptic problems d0a9ec2d7f8f2c8e27f5614ed1404a54 Friedemann Brock Friedemann Brock true false 2019-02-07 SMA We show that solutions to a general class of overdetermined problems for degenerate elliptic equations can be situated only in a ball. Moreover, the solutions satisfysome “local” kind of symmetry. The proof is based on the method of continuous Steiner symmetrization Journal Article Nonlinear Differential Equations and Applications NoDEA 23 3 Springer Science and Business Media LLC 1021-9722 1420-9004 degenerate elliptic equation, overdetermined boundary value problem, symmetry of the solution, continuous rearrangement 7 6 2016 2016-06-07 10.1007/s00030-016-0390-1 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2023-06-23T18:09:46.1727262 2019-02-07T15:38:33.2920077 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Friedemann Brock 1
title Symmetry for a general class of overdetermined elliptic problems
spellingShingle Symmetry for a general class of overdetermined elliptic problems
Friedemann Brock
title_short Symmetry for a general class of overdetermined elliptic problems
title_full Symmetry for a general class of overdetermined elliptic problems
title_fullStr Symmetry for a general class of overdetermined elliptic problems
title_full_unstemmed Symmetry for a general class of overdetermined elliptic problems
title_sort Symmetry for a general class of overdetermined elliptic problems
author_id_str_mv d0a9ec2d7f8f2c8e27f5614ed1404a54
author_id_fullname_str_mv d0a9ec2d7f8f2c8e27f5614ed1404a54_***_Friedemann Brock
author Friedemann Brock
author2 Friedemann Brock
format Journal article
container_title Nonlinear Differential Equations and Applications NoDEA
container_volume 23
container_issue 3
publishDate 2016
institution Swansea University
issn 1021-9722
1420-9004
doi_str_mv 10.1007/s00030-016-0390-1
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description We show that solutions to a general class of overdetermined problems for degenerate elliptic equations can be situated only in a ball. Moreover, the solutions satisfysome “local” kind of symmetry. The proof is based on the method of continuous Steiner symmetrization
published_date 2016-06-07T18:09:40Z
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score 11.016258

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