Local regularity for nonlocal equations with variable exponents (Q6073262)

scientific article; zbMATH DE number 7750723

Language	Label	Description	Also known as
English	Local regularity for nonlocal equations with variable exponents	scientific article; zbMATH DE number 7750723

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instance of

scholarly article

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title

Local regularity for nonlocal equations with variable exponents (English)

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Mathematische Nachrichten

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publication date

17 October 2023

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full work available at URL

https://arxiv.org/abs/2107.06043

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zbMATH Keywords

Caccioppoli estimate

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De Giorgi iteration

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fractional Sobolev space

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Hölder regularity

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local boundedness

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nonlocal equation

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variable exponent

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weak solution

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MaRDI profile type

MaRDI publication profile

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cites work

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Q4504726

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Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\)

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Density properties for fractional Sobolev spaces with variable exponents

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Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian

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On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent

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Robin fractional problems with symmetric variable growth

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Variable order nonlocal Choquard problem with variable exponents

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The second eigenvalue of the fractional \(p\)-Laplacian

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Hölder continuity of minimizers of functionals with variable growth exponent

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Hölder continuity of the gradient of p(x)-harmonic mappings

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Local behavior of fractional \(p\)-minimizers

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Maximal function on generalized Lebesgue spaces L^p(⋅)

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Function spaces of variable smoothness and integrability

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Lebesgue and Sobolev spaces with variable exponents

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On optimal \(C^{1 , \alpha}\) estimates for \(p ( x )\)-Laplace type equations

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Regularity estimates for elliptic nonlocal operators

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A class of De Giorgi type and Hölder continuity

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Local Regularity for Parabolic Nonlocal Operators

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Harnack's inequality for quasiminimizers with nonstandard growth conditions

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Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians

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Nonlocal self-improving properties

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Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions

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Harnack inequality for a class of functionals with non-standard growth via De Giorgi's method

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Local Hölder regularity for nonlocal equations with variable powers

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Q5286592

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AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

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A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order

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Identifiers

zbMATH Open document ID

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10.1002/mana.202100521

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6073262