Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities (Q5094520)

scientific article; zbMATH DE number 7566927

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English	Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities	scientific article; zbMATH DE number 7566927

Statements

instance of

scholarly article

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title

Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities (English)

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author

Yansheng Shen

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published in

Complex Variables and Elliptic Equations

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publication date

3 August 2022

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zbMATH Keywords

fractional Laplacian

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Hardy-Leray potential

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existence and multiplicity

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/17476933.2021.1916922

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cites work

Hitchhiker's guide to the fractional Sobolev spaces

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On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems

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The Brezis-Nirenberg result for the fractional Laplacian

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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An existence result for nonliner elliptic problems involving critical Sobolev exponent

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Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents

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A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.

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Hardy-singular boundary mass and Sobolev-critical variational problems

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Combined effects of concave and convex nonlinearities in some elliptic problems

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Multiplicity results for some nonlinear elliptic equations

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On an Elliptic Equation with Concave and Convex Nonlinearities

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Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side

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Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.

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Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term

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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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Nonlocal problems with critical Hardy nonlinearity

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Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations

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Kirchhoff-Hardy fractional problems with lack of compactness

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Mass and asymptotics associated to fractional Hardy–Schrödinger operators in critical regimes

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A Brezis-Nirenberg result for non-local critical equations in low dimension

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Existence of solutions for perturbed fractional \(p\)-Laplacian equations

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A critical fractional equation with concave-convex power nonlinearities

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Dual variational methods in critical point theory and applications

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A general mountain pass principle for locating and classifying critical points

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

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Some remarks on the solvability of non-local elliptic problems with the Hardy potential

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On some critical problems for the fractional Laplacian operator

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A concave—convex elliptic problem involving the fractional Laplacian

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Multiplicity results for a non-local problem with concave and convex nonlinearities

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Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator

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Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators

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Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)

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Regularity of the obstacle problem for a fractional power of the laplace operator

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A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Identifiers

zbMATH Open document ID

1495.35203

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DOI

10.1080/17476933.2021.1916922

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5094520