Small perturbations of critical nonlocal equations with variable exponents (Q6060850)

scientific article; zbMATH DE number 7761155

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English	Small perturbations of critical nonlocal equations with variable exponents	scientific article; zbMATH DE number 7761155

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instance of

scholarly article

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title

Small perturbations of critical nonlocal equations with variable exponents (English)

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Demonstratio Mathematica

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publication date

6 November 2023

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zbMATH Keywords

fractional $p$-Laplace operator

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$p(.)$-Laplacian

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critical nonlinearity

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Moser iteration

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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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cites work

Regularity results for stationary electro-rheological fluids

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Adaptive Perona–Malik Model Based on the Variable Exponent for Image Denoising

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A variable exponent nonlocal $p(x)$-Laplacian equation for image restoration

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Q4021390

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Compact imbeddings between variable exponent spaces with unbounded underlying domain

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

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On some variational problems

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Partial Differential Equations with Variable Exponents

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Existence and multiplicity of solutions for a class of elliptic equations without Ambrosetti-Rabinowitz type conditions

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Existence and blow-up rate of large solutions of $p(x)$-Laplacian equations with gradient terms

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Existence of entire solutions for a class of variable exponent elliptic equations

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Regularity for minimizers for functionals of double phase with variable exponents

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An elliptic system with logarithmic nonlinearity

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Existence of multiple solutions to an elliptic problem with measure data

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Least energy sign-changing solution to a fractional $p$-Laplacian problem involving singularities

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A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent

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On a class of $p(x)$-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions

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Positive solutions of nonlinear elliptic equations involving critical sobolev 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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Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents

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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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Weak solution for fractional $(p_1,\dots,p_m)$-Laplacian system with Dirichlet-type boundary conditions

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Q4826746

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

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

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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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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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Existence and localization results for $p(x)$-Laplacian via topological methods

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

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Identifiers

zbMATH Open document ID

1526.35299

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Mathematics Subject Classification ID

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10.1515/DEMA-2023-0266

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Sitelinks

Mathematics(1 entry)

mardi Publication:6060850