Multiplicity results for stationary Kirchhoff problems involving fractional elliptic operator and critical nonlinearity in RN (Q4583079)

scientific article; zbMATH DE number 6927860

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English	Multiplicity results for stationary Kirchhoff problems involving fractional elliptic operator and critical nonlinearity in RN	scientific article; zbMATH DE number 6927860

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instance of

scholarly article

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title

Multiplicity results for stationary Kirchhoff problems involving fractional elliptic operator and critical nonlinearity in RN (English)

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Journal of Mathematical Physics

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publication date

27 August 2018

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zbMATH Keywords

Kirchhoff-type equations

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fractional elliptic operator

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critical exponent

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multiplicity of solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.5047664

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cites work

Q4826746

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Elliptic problems involving the fractional Laplacian in $\mathbb R^N$

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

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Non-local Diffusions, Drifts and Games

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

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Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian

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On multiple solutions of a singular quasilinear equation on unbounded domain.

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Hitchhiker's guide to the fractional Sobolev spaces

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A critical Kirchhoff type problem involving a nonlocal operator

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$p$-fractional Kirchhoff equations involving critical nonlinearities

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Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator.

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Hardy inequalities and some critical elliptic and parabolic problems

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A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations

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Fractional quantum mechanics and Lévy path integrals

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Soliton solutions to Kirchhoff type problems involving the critical growth in $\mathbb R^N$

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Existence of solutions for Kirchhoff type problems with critical nonlinearity in $\mathbb R^3$

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Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in ℝN

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Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional $p$-Laplacian in ${\mathbb {R}}^N$

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On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity

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

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Positive solutions for Kirchhoff-type equations with critical exponent in $\mathbb{R}^N$

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

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Higher nonlocal problems with bounded potential

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Ground state solutions of scalar field fractional Schrödinger equations

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Multiplicity results for elliptic fractional equations with subcritical term

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On a $p$-Kirchhoff problem involving a critical nonlinearity

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

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Q3749777

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Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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The Brezis-Nirenberg result for the fractional Laplacian

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Fractional Laplacian equations with critical Sobolev exponent

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Q2954168

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Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities

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Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem

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Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian

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Ground states for fractional Schrödinger equations involving a critical nonlinearity

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Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials

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Minimax theorems

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Identifiers

zbMATH Open document ID

1401.35086

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DOI

10.1063/1.5047664

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4583079