Academic Journal
Προβολή σε EDS

Absence of the Lavrentiev phenomenon for generalized double-phase functionals with variable matrix weights.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Absence of the Lavrentiev phenomenon for generalized double-phase functionals with variable matrix weights.
Συγγραφείς: Byun, Sun-Sig1 (AUTHOR), Jung, Hamin2 (AUTHOR), Kim, Hongsoo3 (AUTHOR)
Πηγή: Proceedings of the American Mathematical Society. Jun2026, Vol. 154 Issue 6, p2509-2518. 10p.
Θεματικοί όροι: *Calculus of variations, *Function spaces, *Mathematical functions
Περίληψη: We investigate a wide class of degenerate/singular variational integrals exhibiting generalized double-phase behavior governed by matrix weights. We establish absence of the Lavrentiev phenomenon under sharp structural assumptions on the pair of Orlicz functions and the associated modulating function. This is achieved by imposing a small \log-BMO condition on the matrix weight, which ensures sufficient control over its local oscillation and degeneracy/singularity. As a consequence, we show that the associated functional admits minimizers that can be stably approximated within the corresponding weighted Orlicz-Sobolev space. Our results extend the classical double-phase theory developed for constant matrix coefficients to a general framework with fully variable, anisotropic matrix weights. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
FullText Text:
  Availability: 0
CustomLinks:
  – Url: http://www.jstor.org/openurl?issn=00029939&date=2026&volume=154&issue=6&spage=2509
    Name: JSTOR (all content) (s7799221)
    Category: fullText
    Text:
    Icon: https://imageserver.ebscohost.com/branding/jstor/iconJSTOR.gif
    MouseOverText: Full Text from JSTOR
Header DbId: asx
DbLabel: Academic Search Index
An: 193313187
RelevancyScore: 1431
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1430.76538085938
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Absence of the Lavrentiev phenomenon for generalized double-phase functionals with variable matrix weights.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Byun%2C+Sun-Sig%22">Byun, Sun-Sig</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jung%2C+Hamin%22">Jung, Hamin</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kim%2C+Hongsoo%22">Kim, Hongsoo</searchLink><relatesTo>3</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Proceedings+of+the+American+Mathematical+Society%22">Proceedings of the American Mathematical Society</searchLink>. Jun2026, Vol. 154 Issue 6, p2509-2518. 10p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Calculus+of+variations%22">Calculus of variations</searchLink><br />*<searchLink fieldCode="DE" term="%22Function+spaces%22">Function spaces</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We investigate a wide class of degenerate/singular variational integrals exhibiting generalized double-phase behavior governed by matrix weights. We establish absence of the Lavrentiev phenomenon under sharp structural assumptions on the pair of Orlicz functions and the associated modulating function. This is achieved by imposing a small \log-BMO condition on the matrix weight, which ensures sufficient control over its local oscillation and degeneracy/singularity. As a consequence, we show that the associated functional admits minimizers that can be stably approximated within the corresponding weighted Orlicz-Sobolev space. Our results extend the classical double-phase theory developed for constant matrix coefficients to a general framework with fully variable, anisotropic matrix weights. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=193313187
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1090/proc/17602
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 2509
    Subjects:
      – SubjectFull: Calculus of variations
        Type: general
      – SubjectFull: Function spaces
        Type: general
      – SubjectFull: Mathematical functions
        Type: general
    Titles:
      – TitleFull: Absence of the Lavrentiev phenomenon for generalized double-phase functionals with variable matrix weights.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Byun, Sun-Sig
      – PersonEntity:
          Name:
            NameFull: Jung, Hamin
      – PersonEntity:
          Name:
            NameFull: Kim, Hongsoo
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00029939
          Numbering:
            – Type: volume
              Value: 154
            – Type: issue
              Value: 6
          Titles:
            – TitleFull: Proceedings of the American Mathematical Society
              Type: main
ResultId 1