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Gradient regularity for double-phase orthotropic functionals.

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Τίτλος: Gradient regularity for double-phase orthotropic functionals.
Συγγραφείς: Almi, Stefano1 (AUTHOR) stefano.almi@unina.it, Leone, Chiara1 (AUTHOR) chileone@unina.it, Manzo, Gianluigi1 (AUTHOR) gianluigi.manzo@unina.it
Πηγή: Communications in Contemporary Mathematics. Sep2026, p1. 38p.
Θεματικοί όροι: *Calculus of variations, *Lipschitz continuity, *Sobolev spaces, *Holder spaces, *Smoothness of functions
Περίληψη: In this paper, we prove higher integrability for local minimizers of the double-phase orthotropic functional ∑i=1n ∫Ω(|uxi|p + a(x)|u xi|q)dx when the weight function a ≥ 0 is assumed to be α-Hölder continuous, while the exponents p,q are such that 2 ≤ p ≤ q and q p < 1 + α n. Under natural Sobolev regularity of a, we further obtain explicit Lipschitz regularity estimates for local minimizers. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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DbLabel: Academic Search Index
An: 197060107
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PubType: Academic Journal
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PreciseRelevancyScore: 1452.42785644531
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  Data: Gradient regularity for double-phase orthotropic functionals.
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  Data: &lt;searchLink fieldCode=&quot;JN&quot; term=&quot;%22Communications+in+Contemporary+Mathematics%22&quot;&gt;Communications in Contemporary Mathematics&lt;/searchLink&gt;. Sep2026, p1. 38p.
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  Data: In this paper, we prove higher integrability for local minimizers of the double-phase orthotropic functional ∑i=1n ∫Ω(|uxi|p + a(x)|u xi|q)dx when the weight function a ≥ 0 is assumed to be α-H&#246;lder continuous, while the exponents p,q are such that 2 ≤ p ≤ q and q p &lt; 1 + α n. Under natural Sobolev regularity of&#160;a, we further obtain explicit Lipschitz regularity estimates for local minimizers. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/s0219199726500720
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 38
        StartPage: 1
    Subjects:
      – SubjectFull: Calculus of variations
        Type: general
      – SubjectFull: Lipschitz continuity
        Type: general
      – SubjectFull: Sobolev spaces
        Type: general
      – SubjectFull: Holder spaces
        Type: general
      – SubjectFull: Smoothness of functions
        Type: general
    Titles:
      – TitleFull: Gradient regularity for double-phase orthotropic functionals.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Almi, Stefano
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          Name:
            NameFull: Leone, Chiara
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            NameFull: Manzo, Gianluigi
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          Dates:
            – D: 16
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 02191997
          Titles:
            – TitleFull: Communications in Contemporary Mathematics
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