Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities (Q502244)

scientific article; zbMATH DE number 6670030

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English	Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities	scientific article; zbMATH DE number 6670030

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instance of

scholarly article

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title

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

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Calculus of Variations and Partial Differential Equations

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publication date

3 January 2017

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00526-016-1045-0

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cites work

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Positive solutions of nonlinear problems involving the square root of the Laplacian

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An Extension Problem Related to the Fractional Laplacian

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

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Classification of solutions for an integral equation

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Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations

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Concentration phenomenon for fractional nonlinear Schrödinger equations

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

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Critical and subcritical fractional problems with vanishing potentials

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On the variational principle

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Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problem<i>via</i>penalization method

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Elliptic partial differential equations of second order

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Hitchhiker's guide to the fractional Sobolev spaces

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On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions

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Fractional quantum mechanics and Lévy path integrals

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

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

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A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations

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On a class of nonlinear Schrödinger equations

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Q5502335

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

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

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The Dirichlet problem for the fractional Laplacian: regularity up to the boundary

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The Brezis-Nirenberg type problem involving the square root of the Laplacian

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Minimax theorems

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Identifiers

zbMATH Open document ID

1395.35193

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Mathematics Subject Classification ID

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10.1007/S00526-016-1045-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:502244