On a class of fractional Laplacian problems with variable exponents and indefinite weights (Q2173240)

scientific article

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English	On a class of fractional Laplacian problems with variable exponents and indefinite weights	scientific article

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instance of

scholarly article

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title

On a class of fractional Laplacian problems with variable exponents and indefinite weights (English)

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Collectanea Mathematica

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publication date

22 April 2020

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zbMATH Keywords

fractional Laplacian

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existence of solutions

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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/10.1007/s13348-019-00254-5

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cites work

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

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Existence results for a class of nonlocal problems involving the -Laplace operator

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Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

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

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On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent

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Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian

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Variational Methods for Nonlocal Fractional Problems

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Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent

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

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Multiple solutions for a class of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Laplacian problems involving concave-convex nonlinearities

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Some remarks on a class of \(p(x)\)-Laplacian Robin eigenvalue problems

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Lebesgue and Sobolev spaces with variable exponents

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Sobolev embeddings with variable exponent

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On the variational principle

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

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Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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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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𝑝(𝑥)-Laplacian with indefinite weight

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Existence of multiple solutions for a class of nonhomogeneous problems with critical growth

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On a class of nonlinear problems involving a p(x)-Laplace type operator

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Continuous spectrum for a class of nonhomogeneous differential operators

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Concentration phenomena in nonlinear eigenvalue problems with variable exponents and sign-changing potential

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Orlicz spaces and modular spaces

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Q5409641

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Existence and multiplicity of solutions for fractional<i>p</i>-Laplacian Schrödinger–Kirchhoff type equations

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Traces for fractional Sobolev spaces with variable exponents

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Nonlinear elliptic equations with variable exponent: old and new

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Variational Methods

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

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

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Identifiers

zbMATH Open document ID

1437.35291

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Mathematics Subject Classification ID

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10.1007/S13348-019-00254-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:2173240