Ground state of Kirchhoff type fractional Schrödinger equations with critical growth (Q1754566)

scientific article; zbMATH DE number 6877111

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English	Ground state of Kirchhoff type fractional Schrödinger equations with critical growth	scientific article; zbMATH DE number 6877111

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instance of

scholarly article

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title

Ground state of Kirchhoff type fractional Schrödinger equations with critical growth (English)

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Journal of Mathematical Analysis and Applications

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publication date

31 May 2018

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zbMATH Keywords

fractional Schrödinger equation

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Kirchhoff type

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critical growth

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variational method

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2018.01.060

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cites work

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

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Nonlinear scalar field equations. I: Existence of a ground state

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Q3333435

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A concave-convex elliptic problem involving the fractional Laplacian

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An Extension Problem Related to the Fractional Laplacian

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Ground state solutions of asymptotically linear fractional Schrödinger equations

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Bound state for the fractional Schrödinger equation with unbounded potential

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Best constants for Sobolev inequalities for higher order fractional derivatives

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

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ<sup>N</sup></i>

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Fractional quantum mechanics and Lévy path integrals

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Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension

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

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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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A Variation of the Mountain Pass Lemma and Applications

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The Brezis-Nirenberg result for the fractional Laplacian

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Ground states for fractional Schrödinger equations with critical growth

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Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

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On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth

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

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Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent

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Minimax theorems

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Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity

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A BERESTYCKI–LIONS THEOREM REVISITED

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Identifiers

zbMATH Open document ID

1393.35283

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2018.01.060

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Sitelinks

Mathematics(1 entry)

mardi Publication:1754566