Local regularity for nonlocal equations with variable exponents
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chaker, Jamil | - |
dc.contributor.author | Kim, Minhyun | - |
dc.date.accessioned | 2023-11-14T08:35:50Z | - |
dc.date.available | 2023-11-14T08:35:50Z | - |
dc.date.created | 2023-07-25 | - |
dc.date.issued | 2023-09 | - |
dc.identifier.issn | 0025-584X | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/192295 | - |
dc.description.abstract | In this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler–Lagrange equations. We show that weak solutions are locally bounded when the variable exponent p is only assumed to be continuous and bounded. Furthermore, we prove that bounded weak solutions are locally Hölder continuous under some additional assumptions on p. On the one hand, the class of admissible exponents is assumed to satisfy a log-Hölder–type condition inside the domain, which is essential even in the case of local equations. On the other hand, since we are concerned with nonlocal problems, we need an additional assumption on p outside the domain. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | John Wiley and Sons Inc | - |
dc.title | Local regularity for nonlocal equations with variable exponents | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Minhyun | - |
dc.identifier.doi | 10.1002/mana.202100521 | - |
dc.identifier.scopusid | 2-s2.0-85164306931 | - |
dc.identifier.wosid | 001022652500001 | - |
dc.identifier.bibliographicCitation | Mathematische Nachrichten, v.296, no.9, pp.4463 - 4489 | - |
dc.relation.isPartOf | Mathematische Nachrichten | - |
dc.citation.title | Mathematische Nachrichten | - |
dc.citation.volume | 296 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 4463 | - |
dc.citation.endPage | 4489 | - |
dc.type.rims | ART | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FRACTIONAL SOBOLEV SPACES | - |
dc.subject.keywordPlus | HOLDER CONTINUITY | - |
dc.subject.keywordPlus | FUNCTIONALS | - |
dc.subject.keywordPlus | CALCULUS | - |
dc.subject.keywordPlus | PRINCIPLES | - |
dc.subject.keywordPlus | MINIMIZERS | - |
dc.subject.keywordPlus | LEBESGUE | - |
dc.subject.keywordAuthor | Caccioppoli estimate | - |
dc.subject.keywordAuthor | De Giorgi iteration | - |
dc.subject.keywordAuthor | fractional Sobolev space | - |
dc.subject.keywordAuthor | Holder regularity | - |
dc.subject.keywordAuthor | local boundedness | - |
dc.subject.keywordAuthor | nonlocal equation | - |
dc.subject.keywordAuthor | variable exponent | - |
dc.subject.keywordAuthor | weak solution | - |
dc.identifier.url | https://onlinelibrary.wiley.com/doi/10.1002/mana.202100521 | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.