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A Liouville theorem for the p-Laplacian and related questions

Alberto Farina, Carlo Mercuri, Michel Willem

Calculus of Variations and Partial Differential Equations, Volume: 58, Issue: 4

Swansea University Author: Carlo Mercuri

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DOI (Published version): 10.1007/s00526-019-1596-y

Abstract

We obtain several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changingsolutions to p-Laplacian equations involving critical growth nonlinearities. Some of these are derived by the Morse index associated with the solut...

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Published in: Calculus of Variations and Partial Differential Equations
ISSN: 0944-2669 1432-0835
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa51017
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first_indexed 2019-07-04T20:53:43Z
last_indexed 2020-06-24T19:02:57Z
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spelling 2020-06-24T15:21:38.6815140 v2 51017 2019-07-04 A Liouville theorem for the p-Laplacian and related questions 46bf09624160610d6d6cf435996a5913 Carlo Mercuri Carlo Mercuri true false 2019-07-04 FGSEN We obtain several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changingsolutions to p-Laplacian equations involving critical growth nonlinearities. Some of these are derived by the Morse index associated with the solutions. These resuts, in a radial setting allow to characterise the compactness of possibly sign-changing Palais-Smale sequences. Journal Article Calculus of Variations and Partial Differential Equations 58 4 0944-2669 1432-0835 Liouville-type theorems, quasilinear equations, Morse index, sign-changing solutions, nonexistence, Palais-Smale sequences 27 7 2019 2019-07-27 10.1007/s00526-019-1596-y COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-06-24T15:21:38.6815140 2019-07-04T19:26:10.0663400 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Alberto Farina 1 Carlo Mercuri 2 Michel Willem 3 0051017-04072019192640.pdf CalcVar20June2019.pdf 2019-07-04T19:26:40.8730000 Output 220471 application/pdf Accepted Manuscript true 2020-07-27T00:00:00.0000000 true eng
title A Liouville theorem for the p-Laplacian and related questions
spellingShingle A Liouville theorem for the p-Laplacian and related questions
Carlo Mercuri
title_short A Liouville theorem for the p-Laplacian and related questions
title_full A Liouville theorem for the p-Laplacian and related questions
title_fullStr A Liouville theorem for the p-Laplacian and related questions
title_full_unstemmed A Liouville theorem for the p-Laplacian and related questions
title_sort A Liouville theorem for the p-Laplacian and related questions
author_id_str_mv 46bf09624160610d6d6cf435996a5913
author_id_fullname_str_mv 46bf09624160610d6d6cf435996a5913_***_Carlo Mercuri
author Carlo Mercuri
author2 Alberto Farina
Carlo Mercuri
Michel Willem
format Journal article
container_title Calculus of Variations and Partial Differential Equations
container_volume 58
container_issue 4
publishDate 2019
institution Swansea University
issn 0944-2669
1432-0835
doi_str_mv 10.1007/s00526-019-1596-y
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 1
active_str 0
description We obtain several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changingsolutions to p-Laplacian equations involving critical growth nonlinearities. Some of these are derived by the Morse index associated with the solutions. These resuts, in a radial setting allow to characterise the compactness of possibly sign-changing Palais-Smale sequences.
published_date 2019-07-27T04:02:44Z
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score 11.013619

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