Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents (Q6142009)

scientific article; zbMATH DE number 7793249

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English	Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents	scientific article; zbMATH DE number 7793249

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instance of

scholarly article

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title

Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents (English)

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Zurnal matematiceskoj fiziki, analiza, geometrii

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publication date

23 January 2024

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zbMATH Keywords

Kirchhoff-type equation

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fractional \(p(x)\)-Laplacian

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existence

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multiplicity

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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/10.15407/mag18.02.253

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cites work

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

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Dual variational methods in critical point theory and applications

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Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\)

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On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities

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Existence of positive solution for Kirchhoff problems

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Minimax method involving singular p(x)-Kirchhoff equation

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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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Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves

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Existence of solution for an indefinite weight quasilinear problem with variable exponent

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An Extension Problem Related to the Fractional Laplacian

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Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights

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On a dirichlet problem with a singular nonlinearity

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Traces for fractional Sobolev spaces with variable exponents

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Sobolev embeddings with variable exponent

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

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A fractional Kirchhoff problem involving a singular term and a critical nonlinearity

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Nontrivial solutions for Kirchhoff-type problems involving the \(p(x)\)-Laplace operator

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A multiplicity results for a singular problem involving the fractionalp-Laplacian operator

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The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator

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Q3506248

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Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition

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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 the existence of solutions of a nonlocal biharmonic problem

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Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity

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Positive solutions for nonlinear parametric singular Dirichlet problems

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Nonlinear nonhomogeneous singular problems

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Partial Differential Equations with Variable Exponents

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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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A multiplicity results for a singular equation involving thep(x)-Laplace operator

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A critical fractional elliptic equation with singular nonlinearities

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Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth

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Identifiers

Mathematics Subject Classification ID

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10.15407/MAG18.02.253

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Sitelinks

Mathematics(1 entry)

mardi Publication:6142009