Multiplicity results for variable-order fractional Laplacian equations with variable growth (Q1629799)

scientific article; zbMATH DE number 6992590

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English	Multiplicity results for variable-order fractional Laplacian equations with variable growth	scientific article; zbMATH DE number 6992590

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instance of

scholarly article

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title

Multiplicity results for variable-order fractional Laplacian equations with variable growth (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

12 December 2018

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zbMATH Keywords

fractional elliptic equation

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variable-order fractional Laplacian

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variational methods

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.na.2018.07.016

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cites work

Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)

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Dual variational methods in critical point theory and applications

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Q4826746

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Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)

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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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NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL

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Non-local Diffusions, Drifts and Games

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An Extension Problem Related to the Fractional Laplacian

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations

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Hitchhiker's guide to the fractional Sobolev spaces

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Lebesgue and Sobolev spaces with variable exponents

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

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On an eigenvalue problem involving the fractional \((s, p)\)-Laplacian

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Perturbed fractional eigenvalue problems

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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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On Markov process generated by pseudodifferential operator of variable order

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Q4021390

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Fractional quantum mechanics and Lévy path integrals

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Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration

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Fractional eigenvalues

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Q3184897

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Variable order and distributed order fractional operators

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Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent

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A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids

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Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian

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Variational Methods for Nonlocal Fractional Problems

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Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)

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Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations

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Fractional Generalized Random Fields of Variable Order

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Electrorheological fluids: Modeling and mathematical theory

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Mountain pass solutions for non-local elliptic operators

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Variational methods for non-local operators of elliptic type

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Existence of solutions for perturbed fractional \(p\)-Laplacian equations

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Fractional Schrödinger-Poisson-Kirchhoff type systems involving critical nonlinearities

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Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian

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Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem

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Identifiers

zbMATH Open document ID

1402.35307

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Mathematics Subject Classification ID

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10.1016/J.NA.2018.07.016

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Sitelinks

Mathematics(1 entry)

mardi Publication:1629799