Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
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Publication:6046834
DOI10.1007/s10231-023-01333-yarXiv2210.00574OpenAlexW4365448287WikidataQ122978877 ScholiaQ122978877MaRDI QIDQ6046834
Publication date: 6 October 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.00574
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Cites Work
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- Variable Lebesgue spaces. Foundations and harmonic analysis
- Lebesgue and Sobolev spaces with variable exponents
- On stationary thermo-rheological viscous flows
- Variable exponent functionals in image restoration
- New diffusion models in image processing
- On some variational problems
- Hölder continuity of minimizers of functionals with variable growth exponent
- On the modeling of electrorheological materials
- Electrorheological fluids: modeling and mathematical theory
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
- Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Mosco convergence of nonlocal to local quadratic forms
- On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces
- Local Hölder regularity for nonlocal equations with variable powers
- A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations
- General fractional Sobolev space with variable exponent and applications to nonlocal problems
- On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces
- Non-local, non-convex functionals converging to Sobolev norms
- Density properties for fractional Sobolev spaces with variable exponents
- A class of integral equations and approximation of \(p\)-Laplace equations
- Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion
- Existence results for Schrödinger \(p(\cdot)\)-Laplace equations involving critical growth in \(\mathbb{R}^N$
- Fractional order Orlicz-Sobolev spaces
- Further characterizations of Sobolev spaces
- Some new characterizations of Sobolev spaces
- Some remarks on the Hardy-Littlewood maximal function on variable \(L^p\) spaces
- A class of De Giorgi type and Hölder continuity
- 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
- Variable order nonlocal Choquard problem with variable exponents
- Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth
- Nonlocal characterizations of variable exponent Sobolev spaces
- Nonlocal approximations to anisotropic Sobolev norms
- Robin fractional problems with symmetric variable growth
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Regularity results for a class of functionals with non-standard growth
- Mathematical modeling of electrorheological materials
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
- A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces
