There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 4899 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 4835 | - |
dc.citation.title | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 377 | - |
dc.contributor.author | Kim, Seunghyeok | - |
dc.contributor.author | Moon, Sang-Hyuck | - |
dc.date.accessioned | 2023-12-21T12:41:50Z | - |
dc.date.available | 2023-12-21T12:41:50Z | - |
dc.date.created | 2023-05-22 | - |
dc.date.issued | 2023-07 | - |
dc.description.abstract | We concern a family {(u(epsilon), v(epsilon))}(epsilon)>0 of solutions of the Lane-Emden system on a smooth bounded convex domain Omega in R-N [GRAPHICS] for N >= 4, max{1, 3/N-2} < p < q(epsilon) and small [GRAPHICS] This system appears as the extremal equation of the Sobolev embedding W-2,W-(p+1)/p(Omega) -> Lq epsilon+1(omega), and is also closely related to the Calderon-Zygmund estimate. Under the natural energy condition, we prove that the multiple bubbling phenomena may arise for the family {(u(epsilon), v(epsilon))}(epsilon)>0, and establish a detailed qualitative and quantitative description. If p < N/N-2, the nonlinear structure of the system makes the interaction between bubbles so strong, so the determination process of the blow-up rates and locations is completely different from that of the classical Lane-Emden equation. If p >= N/N-2, the blow-up scenario is relatively close to that of the classical Lane-Emden equation, and only single-bubble solutions can exist. Even in the latter case, we have to devise a new method to cover all p near N/N-2. We also deduce a general existence theorem that holds on any smooth bounded domains. | - |
dc.identifier.bibliographicCitation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.377, no.3, pp.4835 - 4899 | - |
dc.identifier.doi | 10.1090/tran/8898 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.scopusid | 2-s2.0-85165184986 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/64308 | - |
dc.identifier.wosid | 000967033100001 | - |
dc.language | 영어 | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents | - |
dc.type | Article | - |
dc.description.isOpenAccess | TRUE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Lane-Emden system | - |
dc.subject.keywordAuthor | critical hyperbola | - |
dc.subject.keywordAuthor | positive solutions | - |
dc.subject.keywordAuthor | asymptotic analysis | - |
dc.subject.keywordAuthor | multi-bubbles | - |
dc.subject.keywordAuthor | pointwise estimates | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | BEHAVIOR | - |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Tel : 052-217-1404 / Email : scholarworks@unist.ac.kr
Copyright (c) 2023 by UNIST LIBRARY. All rights reserved.
ScholarWorks@UNIST was established as an OAK Project for the National Library of Korea.