Ground states for fractional Schrödinger equations involving a critical nonlinearity (Q309087)

scientific article; zbMATH DE number 6624274

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English	Ground states for fractional Schrödinger equations involving a critical nonlinearity	scientific article; zbMATH DE number 6624274

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instance of

scholarly article

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title

Ground states for fractional Schrödinger equations involving a critical nonlinearity (English)

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Advances in Nonlinear Analysis

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publication date

7 September 2016

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zbMATH Keywords

fractional Schrödinger equations

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fractional Sobolev space

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critical Sobolev exponent

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ground states

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1515/anona-2015-0133

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cites work

Q4826746

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Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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

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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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Superlinear nonlocal fractional problems with infinitely many solutions

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Non-local Diffusions, Drifts and Games

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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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Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian

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Hitchhiker's guide to the fractional Sobolev spaces

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Existence and symmetry results for a Schr\"odinger 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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Fractional quantum mechanics and Lévy path integrals

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Fractional Quantum Mechanics

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

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

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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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Variational Methods for Nonlocal Fractional Problems

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Higher nonlocal problems with bounded potential

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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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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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Fractional Laplacian equations with critical Sobolev exponent

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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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Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent

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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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Minimax theorems

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

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Multiplicity results for the non-homogeneous fractional <i>p</i> -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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Existence of solutions for perturbed fractional $p$-Laplacian equations

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A BERESTYCKI–LIONS THEOREM REVISITED

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Identifiers

zbMATH Open document ID

1346.35224

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Mathematics Subject Classification ID

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10.1515/ANONA-2015-0133

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Sitelinks

Mathematics(1 entry)

mardi Publication:309087