Embedding theorems for variable exponent fractional Sobolev spaces and an application (Q2671041)

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English	Embedding theorems for variable exponent fractional Sobolev spaces and an application	scientific article

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title

Embedding theorems for variable exponent fractional Sobolev spaces and an application (English)

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3 June 2022

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zbMATH Keywords

variable exponent

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fractional Sobolev spaces

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embedding

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\(s(x)\)-\(p(x)\)-Laplacian equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/math.2021571

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cites work

Dual variational methods in critical point theory and applications

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

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On a class of fractional <i>p</i>(<i>x</i>) -Kirchhoff type problems

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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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Variable order nonlocal Choquard problem with variable exponents

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Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Variable-order fractional Sobolev spaces and nonlinear elliptic equations with variable exponents

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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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Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)

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Lebesgue and Sobolev spaces with variable exponents

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Hitchhiker's guide to the fractional Sobolev spaces

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Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian

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Sobolev embeddings with variable exponent

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On the variational principle

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Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.

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

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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The principle of concentration compactness in \(L^{p(x)}\) spaces and its application

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Sobolev embeddings, extensions and measure density condition

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A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian

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An \(H^{s,p}(\mathrm{curl};\Omega)\) estimate for the Maxwell system

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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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Fractional quantum mechanics and Lévy path integrals

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On the variable exponential fractional Sobolev space \(W^{s(\cdot),p(\cdot)}\)

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Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight

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Über konjugierte Exponentenfolgen

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Multiplicity results for variable-order fractional Laplacian equations with variable growth

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Fractional Sobolev extension and imbedding

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Identifiers

DOI

10.3934/math.2021571

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2671041