Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials (Q298310)

scientific article; zbMATH DE number 6595532

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English	Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials	scientific article; zbMATH DE number 6595532

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instance of

scholarly article

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title

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

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

20 June 2016

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full work available at URL

https://arxiv.org/abs/1701.02101

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https://repozitorij.uni-lj.si/Dokument.php?id=122997&dn=

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zbMATH Keywords

fractional Schrödinger equations

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critical Sobolev exponent

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Ambrosetti-Rabinowitz condition

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concentration compactness principle

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

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

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On some critical problems for the fractional Laplacian operator

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A critical fractional equation with concave-convex power nonlinearities

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

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Q3415147

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates

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An Extension Problem Related to the Fractional Laplacian

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Asymptotic behaviour of a porous medium equation with fractional diffusion

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

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Hitchhiker's guide to the fractional Sobolev spaces

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Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Q5409389

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A critical Kirchhoff type problem involving a nonlocal operator

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On the ground state solution for a critical fractional Laplacian equation

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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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A positive solution for a nonlinear Schroedinger equation on R^N

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Some remarks on the Lyusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action

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Fractional quantum mechanics and Lévy path integrals

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Ground state solutions of scalar field fractional Schrödinger equations

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Variational Methods for Nonlocal Fractional Problems

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On doubly nonlocal fractional elliptic equations

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Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent

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

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

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

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The Pohozaev identity for the fractional Laplacian

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

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On fractional Schrödinger equations in ${\mathbb R}^N$ without the Ambrosetti-Rabinowitz condition

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On the spectrum of two different fractional operators

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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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Ground states for fractional Schrödinger equations with critical growth

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

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On the existence of solutions for the critical fractional Laplacian equation in $\mathbb{R}^N$

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Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent

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Nonlinear Diffusion with Fractional Laplacian Operators

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

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

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Identifiers

zbMATH Open document ID

1338.35013

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Mathematics Subject Classification ID

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10.1016/J.NA.2016.04.012

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Sitelinks

Mathematics(1 entry)

mardi Publication:298310