Existence results for a Kirchhoff-type equation involving fractional \(p(x)\)-Laplacian (Q2130865)

scientific article

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English	Existence results for a Kirchhoff-type equation involving fractional \(p(x)\)-Laplacian	scientific article

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title

Existence results for a Kirchhoff-type equation involving fractional \(p(x)\)-Laplacian (English)

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25 April 2022

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zbMATH Keywords

fractional \(p(x)\)-Laplace operator

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Kirchhoff-type equation

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variational methods

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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.2021486

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cites work

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

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Dual variational methods in critical point theory and applications

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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 Lebesgue spaces. Foundations and harmonic analysis

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On an elliptic equation of <i>p</i>-Kirchhoff type via variational methods

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On a \(p\)-Kirchhoff equation via Krasnoselskii's genus

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Multiple solutions for a Kirchhoff-type problem involving the \(p(x)\)-Laplacian operator

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Existence of solutions for a \(p(x)\)-Kirchhoff-type equation

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Infinitely many positive solutions for a \(p(x)\)-Kirchhoff-type equation

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Solutions for a \(p(x)\)-Kirchhoff type equation with Neumann boundary data

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Infinitely many non-negative solutions for a \(p(x)\)-Kirchhoff-type problem with Dirichlet boundary condition

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Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian

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Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators

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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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Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem

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

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Q4189540

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

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A general variational principle and some of its applications

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Partial Differential Equations with Variable Exponents

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On multiplicity solutions for a non-local fractional <i>p</i>-Laplace equation

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Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities

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Sign-changing solutions for a class of fractional Kirchhoff-type problem with logarithmic nonlinearity

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Renormalized solutions for the fractional \(p(x)\)-Laplacian equation with \(L^1\) data

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Identifiers

zbMATH Open document ID

1485.35412

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DOI

10.3934/math.2021486

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2130865