Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents (Q6046834)

scientific article; zbMATH DE number 7746716

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English	Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents	scientific article; zbMATH DE number 7746716

Statements

instance of

scholarly article

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title

Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents (English)

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author

Minhyun Kim

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published in

Annali di Matematica Pura ed Applicata. Serie Quarta

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publication date

6 October 2023

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full work available at URL

https://arxiv.org/abs/2210.00574

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zbMATH Keywords

fractional Sobolev space

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variable exponent

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limiting embedding

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Bourgain-Brezis-Mironescu-type theorem

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MaRDI profile type

MaRDI publication profile

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cites work

New diffusion models in image processing

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Regularity results for a class of functionals with non-standard growth

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Q4504726

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Eigenvalue problems involving the fractional $p(x)$-Laplacian operator

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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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Non-local, non-convex functionals converging to Sobolev norms

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A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Hölder continuity of minimizers of functionals with variable growth exponent

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Nonlocal approximations to anisotropic Sobolev norms

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Variable Lebesgue spaces. Foundations and harmonic analysis

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Traces for fractional Sobolev spaces with variable exponents

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Q5431604

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Lebesgue and Sobolev spaces with variable exponents

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A class of De Giorgi type and Hölder continuity

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On the spaces $L^{p(x)}(\Omega)$ and $W^{m,p(x)}(\Omega)$

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Fractional order Orlicz-Sobolev spaces

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A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces

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Mosco convergence of nonlocal to local quadratic forms

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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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Q4021390

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Some remarks on the Hardy-Littlewood maximal function on variable $L^p$ spaces

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Variable exponent functionals in image restoration

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Identifiers

arXiv ID

2210.00574

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DOI

10.1007/s10231-023-01333-y

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6046834