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Self‐improving property for certain degenerate functionals with generalized Orlicz growth.

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Τίτλος: Self‐improving property for certain degenerate functionals with generalized Orlicz growth.
Συγγραφείς: Hietanen, Vertti1 (AUTHOR), Lee, Mikyoung1,2 (AUTHOR) mikyounglee@pusan.ac.kr
Πηγή: Bulletin of the London Mathematical Society. Aug2026, Vol. 58 Issue 8, p1-19. 19p.
Θεματικοί όροι: *Calculus of variations, *Functionals, *Critical point theory
Περίληψη: We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher integrability. In addition, we establish the existence of minimizers for the associated functional. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  Data: Self‐improving property for certain degenerate functionals with generalized Orlicz growth.
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  Data: <searchLink fieldCode="AR" term="%22Hietanen%2C+Vertti%22">Hietanen, Vertti</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lee%2C+Mikyoung%22">Lee, Mikyoung</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> mikyounglee@pusan.ac.kr</i>
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  Data: <searchLink fieldCode="JN" term="%22Bulletin+of+the+London+Mathematical+Society%22">Bulletin of the London Mathematical Society</searchLink>. Aug2026, Vol. 58 Issue 8, p1-19. 19p.
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  Data: *<searchLink fieldCode="DE" term="%22Calculus+of+variations%22">Calculus of variations</searchLink><br />*<searchLink fieldCode="DE" term="%22Functionals%22">Functionals</searchLink><br />*<searchLink fieldCode="DE" term="%22Critical+point+theory%22">Critical point theory</searchLink>
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  Data: We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher integrability. In addition, we establish the existence of minimizers for the associated functional. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1112/blms.70453
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 19
        StartPage: 1
    Subjects:
      – SubjectFull: Calculus of variations
        Type: general
      – SubjectFull: Functionals
        Type: general
      – SubjectFull: Critical point theory
        Type: general
    Titles:
      – TitleFull: Self‐improving property for certain degenerate functionals with generalized Orlicz growth.
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            NameFull: Hietanen, Vertti
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            NameFull: Lee, Mikyoung
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            – D: 01
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
          Identifiers:
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              Value: 58
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              Value: 8
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            – TitleFull: Bulletin of the London Mathematical Society
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