Existence and multiplicity of solutions for critical nonlocal equations with variable exponents (Q6055920)

scientific article; zbMATH DE number 7744480

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English	Existence and multiplicity of solutions for critical nonlocal equations with variable exponents	scientific article; zbMATH DE number 7744480

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instance of

scholarly article

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title

Existence and multiplicity of solutions for critical nonlocal equations with variable exponents (English)

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29 September 2023

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zbMATH Keywords

fractional $p$-Laplacian

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$p(\cdot)$-Laplacian

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concentration-compactness principles

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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/10.1080/00036811.2022.2107916

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cites work

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Sobolev embeddings for unbounded domain with variable exponent having values across N

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Q4021390

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Compact imbeddings between variable exponent spaces with unbounded underlying domain

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On some variational problems

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Lebesgue and Sobolev spaces with variable exponents

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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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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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Dual variational methods in critical point theory and applications

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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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Existence and multiplicity of solutions for fractional p(x,.)-Kirchhoff-type problems in ℝN

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Minimax theorems

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

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Homoclinic solutions for Hamiltonian systems with variable-order fractional derivatives

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Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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Extrema problems with critical sobolev exponents on unbounded domains

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On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent

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Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents

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Existence and multiplicity of solutions for a $p(x)$-Laplacian equation with critical growth

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Multiplicity results for $(p,q)$ fractional elliptic equations involving critical nonlinearities

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The concentration-compactness principle for variable exponent spaces and applications

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The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem

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

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Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent

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Existence of solutions for $p(x)$-Laplacian problem on an unbounded domain

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Multiple solutions for noncooperative $p(x)$-Laplacian equations in $\mathbb R^N$ involving the critical exponent

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Infinitely many small solutions for the $ p (x)$-Laplacian operator with nonlinear boundary conditions

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A Brezis-Nirenberg type result for a nonlocal fractional operator

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The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application

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A critical Kirchhoff type problem involving a nonlocal operator

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Global solvability for the degenerate Kirchhoff equation with real analytic data

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Existence and multiplicity of entire solutions for fractional $p$-Kirchhoff equations

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

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Existence theorems for entire solutions of stationary Kirchhoff fractional $p$-Laplacian equations

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Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian

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Degenerate Kirchhoff $(p, q)$-fractional systems with critical nonlinearities

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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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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Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators

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Existence of solutions for Kirchhoff type problem involving the non-local fractional $p$-Laplacian

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

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Existence results for Schrödinger $p(\cdot)$-Laplace equations involving critical growth in \(\mathbb{R}^N$

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A multiplicity result for quasilinear elliptic equations involving critical sobolev exponents

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Identifiers

zbMATH Open document ID

1523.35285

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DOI

10.1080/00036811.2022.2107916

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6055920