Multiplicity of solutions for fractional Schrödinger systems in ℝN (Q4960401)

scientific article; zbMATH DE number 7189685

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English	Multiplicity of solutions for fractional Schrödinger systems in ℝ<sup><i>N</i></sup>	scientific article; zbMATH DE number 7189685

Statements

instance of

scholarly article

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title

Multiplicity of solutions for fractional Schrödinger systems in ℝN (English)

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author

Vincenzo Ambrosio

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published in

Complex Variables and Elliptic Equations

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publication date

15 April 2020

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full work available at URL

https://arxiv.org/abs/1703.04370

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zbMATH Keywords

fractional Schrödinger systems

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variational methods

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Ljusternik-Schnirelmann theory

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positive solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Hitchhiker's guide to the fractional Sobolev spaces

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Variational Methods for Nonlocal Fractional Problems

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Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization Method

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Existence and multiplicity results for some superlinear elliptic problems on RN

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Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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On a class of nonlinear Schrödinger equations

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On concentration of positive bound states of nonlinear Schrödinger equations

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Mountain pass solutions for the fractional Berestycki-Lions problem

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

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A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $\mathbb{R}^N$

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Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb {R}^N$ via penalization method

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An Extension Problem Related to the Fractional Laplacian

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Ground states for a fractional scalar field problem with critical growth.

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Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method

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Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

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Positive solution for nonhomogeneous sublinear fractional equations in

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On systems of elliptic equations involving subcritical or critical Sobolev exponents

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Existence and concentration of positive solutions for a class of gradient systems

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Multiple solutions of nonlinear elliptic systems

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Multiple positive solutions for a quasilinear system of Schrödinger equations

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The Nehari manifold for a fractional $p$-Laplacian system involving concave-convex nonlinearities

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Multiple solutions for a noncooperative Kirchhoff‐type system involving the fractional p‐Laplacian and critical exponents

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Radial symmetry results for fractional Laplacian systems

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On the uniqueness of solutions of a nonlocal elliptic system

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Systems ofp-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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The Brezis-Nirenberg result for the fractional Laplacian

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

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

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Solutions concentrating around the saddle points of the potential for critical Schrödinger equations

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

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Identifiers

zbMATH Open document ID

1437.35267

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DOI

10.1080/17476933.2019.1631290

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4960401

Multiplicity of solutions for fractional Schrödinger systems in ℝ<sup><i>N</i></sup> (Q4960401)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)