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Some isoperimetric inequalities on RN with respect to weights | x | α

A. Alvino, Friedemann Brock, F. Chiacchio, A. Mercaldo, M.R. Posteraro

Journal of Mathematical Analysis and Applications, Volume: 451, Issue: 1, Pages: 280 - 318

Swansea University Author: Friedemann Brock

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DOI (Published version): 10.1016/j.jmaa.2017.01.085

Abstract

We solve a class of isoperimetric problems on R^N with respect to weights that are powers of the distance to the origin. In turn, we establish radiality of optimizers in some Caffarelli–Kohn–Nirenberg inequalities, and we obtain sharp bounds for eigenvalues of some nonlinear problems.

Published in: Journal of Mathematical Analysis and Applications
ISSN: 0022-247X
Published: Elsevier BV 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa48740
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first_indexed 2019-02-11T11:58:03Z
last_indexed 2019-07-31T16:25:47Z
id cronfa48740
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spelling v2 48740 2019-02-07 Some isoperimetric inequalities on RN with respect to weights | x | α d0a9ec2d7f8f2c8e27f5614ed1404a54 Friedemann Brock Friedemann Brock true false 2019-02-07 SMA We solve a class of isoperimetric problems on R^N with respect to weights that are powers of the distance to the origin. In turn, we establish radiality of optimizers in some Caffarelli–Kohn–Nirenberg inequalities, and we obtain sharp bounds for eigenvalues of some nonlinear problems. Journal Article Journal of Mathematical Analysis and Applications 451 1 280 318 Elsevier BV 0022-247X isoperimetric inequality, weighted rearrangement, norm inequality, elliptic boundary value problem, eigenvalue problem 1 7 2017 2017-07-01 10.1016/j.jmaa.2017.01.085 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2023-06-23T16:00:05.9363025 2019-02-07T15:03:02.2556187 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics A. Alvino 1 Friedemann Brock 2 F. Chiacchio 3 A. Mercaldo 4 M.R. Posteraro 5
title Some isoperimetric inequalities on RN with respect to weights | x | α
spellingShingle Some isoperimetric inequalities on RN with respect to weights | x | α
Friedemann Brock
title_short Some isoperimetric inequalities on RN with respect to weights | x | α
title_full Some isoperimetric inequalities on RN with respect to weights | x | α
title_fullStr Some isoperimetric inequalities on RN with respect to weights | x | α
title_full_unstemmed Some isoperimetric inequalities on RN with respect to weights | x | α
title_sort Some isoperimetric inequalities on RN with respect to weights | x | α
author_id_str_mv d0a9ec2d7f8f2c8e27f5614ed1404a54
author_id_fullname_str_mv d0a9ec2d7f8f2c8e27f5614ed1404a54_***_Friedemann Brock
author Friedemann Brock
author2 A. Alvino
Friedemann Brock
F. Chiacchio
A. Mercaldo
M.R. Posteraro
format Journal article
container_title Journal of Mathematical Analysis and Applications
container_volume 451
container_issue 1
container_start_page 280
publishDate 2017
institution Swansea University
issn 0022-247X
doi_str_mv 10.1016/j.jmaa.2017.01.085
publisher Elsevier BV
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 solve a class of isoperimetric problems on R^N with respect to weights that are powers of the distance to the origin. In turn, we establish radiality of optimizers in some Caffarelli–Kohn–Nirenberg inequalities, and we obtain sharp bounds for eigenvalues of some nonlinear problems.
published_date 2017-07-01T16:00:01Z
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score 11.016481

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