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On Coron's problem for the p-Laplacian

Carlo Mercuri, Berardino Sciunzi, Marco Squassina

Journal of Mathematical Analysis and Applications, Volume: 421, Issue: 1, Pages: 362 - 369

Swansea University Author: Carlo Mercuri

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DOI (Published version): 10.1016/j.jmaa.2014.07.018

Abstract

By using recent advances in the variational analysis of p-Laplacian problems involving critical nonlinearities, we prove that the critical problem for the p-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends, after three decades...

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Published in: Journal of Mathematical Analysis and Applications
Published: 2014
Online Access: http://www.sciencedirect.com/science/article/pii/S0022247X14006611
URI: https://cronfa.swan.ac.uk/Record/cronfa22339
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first_indexed 2015-07-11T02:04:03Z
last_indexed 2019-07-31T15:07:48Z
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spelling 2019-07-31T13:51:58.6737765 v2 22339 2015-07-10 On Coron's problem for the p-Laplacian 46bf09624160610d6d6cf435996a5913 Carlo Mercuri Carlo Mercuri true false 2015-07-10 FGSEN By using recent advances in the variational analysis of p-Laplacian problems involving critical nonlinearities, we prove that the critical problem for the p-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends, after three decades, a classical result of J.-M. Coron, to the quasilinear case. Journal Article Journal of Mathematical Analysis and Applications 421 1 362 369 p-Laplacian, lack of compactness, critical Sobolev exponent, Coron&apos;s problem, Palais-Smale condition 15 7 2014 2014-07-15 10.1016/j.jmaa.2014.07.018 http://www.sciencedirect.com/science/article/pii/S0022247X14006611 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-07-31T13:51:58.6737765 2015-07-10T11:42:10.1149805 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Carlo Mercuri 1 Berardino Sciunzi 2 Marco Squassina 3
title On Coron's problem for the p-Laplacian
spellingShingle On Coron's problem for the p-Laplacian
Carlo Mercuri
title_short On Coron's problem for the p-Laplacian
title_full On Coron's problem for the p-Laplacian
title_fullStr On Coron's problem for the p-Laplacian
title_full_unstemmed On Coron's problem for the p-Laplacian
title_sort On Coron's problem for the p-Laplacian
author_id_str_mv 46bf09624160610d6d6cf435996a5913
author_id_fullname_str_mv 46bf09624160610d6d6cf435996a5913_***_Carlo Mercuri
author Carlo Mercuri
author2 Carlo Mercuri
Berardino Sciunzi
Marco Squassina
format Journal article
container_title Journal of Mathematical Analysis and Applications
container_volume 421
container_issue 1
container_start_page 362
publishDate 2014
institution Swansea University
doi_str_mv 10.1016/j.jmaa.2014.07.018
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
url http://www.sciencedirect.com/science/article/pii/S0022247X14006611
document_store_str 0
active_str 0
description By using recent advances in the variational analysis of p-Laplacian problems involving critical nonlinearities, we prove that the critical problem for the p-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends, after three decades, a classical result of J.-M. Coron, to the quasilinear case.
published_date 2014-07-15T03:26:36Z
_version_ 1763750965185347584
score 11.035655

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