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Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$

Wedad Albalawi, Carlo Mercuri, Vitaly Moroz Orcid Logo

Annali di Matematica Pura ed Applicata (1923 -), Volume: 199, Issue: 1, Pages: 23 - 63

Swansea University Authors: Carlo Mercuri, Vitaly Moroz Orcid Logo

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DOI (Published version): 10.1007/s10231-019-00865-6

Abstract

We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation in the whole space; we give a characterisation of asymptotic regimes as a function of the parameters and show that the behavior of the groundstates is sensitive to the relation of the growth on th...

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Published in: Annali di Matematica Pura ed Applicata (1923 -)
ISSN: 0373-3114 1618-1891
Published: Springer Science and Business Media LLC 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa50315
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first_indexed 2019-05-13T13:49:36Z
last_indexed 2020-07-22T19:11:34Z
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spelling 2020-07-22T18:00:19.2814510 v2 50315 2019-05-12 Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$ 46bf09624160610d6d6cf435996a5913 Carlo Mercuri Carlo Mercuri true false 160965ff7131686ab9263d39886c8c1a 0000-0003-3302-8782 Vitaly Moroz Vitaly Moroz true false 2019-05-12 FGSEN We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation in the whole space; we give a characterisation of asymptotic regimes as a function of the parameters and show that the behavior of the groundstates is sensitive to the relation of the growth on the nonlinearities and the critical Sobolev exponent. Journal Article Annali di Matematica Pura ed Applicata (1923 -) 199 1 23 63 Springer Science and Business Media LLC 0373-3114 1618-1891 Groundstates, Liouville-type theorems, quasilinear equations, singular perturbation 1 2 2020 2020-02-01 10.1007/s10231-019-00865-6 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-07-22T18:00:19.2814510 2019-05-12T14:39:55.0496251 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Wedad Albalawi 1 Carlo Mercuri 2 Vitaly Moroz 0000-0003-3302-8782 3 0050315-12052019144400.pdf Albalawi-Mercuri-MorozAMPA.pdf 2019-05-12T14:44:00.9400000 Output 501221 application/pdf Accepted Manuscript true 2020-05-17T00:00:00.0000000 true eng
title Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
spellingShingle Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
Carlo Mercuri
Vitaly Moroz
title_short Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
title_full Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
title_fullStr Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
title_full_unstemmed Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
title_sort Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
author_id_str_mv 46bf09624160610d6d6cf435996a5913
160965ff7131686ab9263d39886c8c1a
author_id_fullname_str_mv 46bf09624160610d6d6cf435996a5913_***_Carlo Mercuri
160965ff7131686ab9263d39886c8c1a_***_Vitaly Moroz
author Carlo Mercuri
Vitaly Moroz
author2 Wedad Albalawi
Carlo Mercuri
Vitaly Moroz
format Journal article
container_title Annali di Matematica Pura ed Applicata (1923 -)
container_volume 199
container_issue 1
container_start_page 23
publishDate 2020
institution Swansea University
issn 0373-3114
1618-1891
doi_str_mv 10.1007/s10231-019-00865-6
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 1
active_str 0
description We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation in the whole space; we give a characterisation of asymptotic regimes as a function of the parameters and show that the behavior of the groundstates is sensitive to the relation of the growth on the nonlinearities and the critical Sobolev exponent.
published_date 2020-02-01T04:01:44Z
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score 11.013799

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