Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method (Q5216648)

scientific article; zbMATH DE number 7169149

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English	Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method	scientific article; zbMATH DE number 7169149

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instance of

scholarly article

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title

Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method (English)

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author

Vincenzo Ambrosio

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published in

Communications in Contemporary Mathematics

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publication date

18 February 2020

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zbMATH Keywords

fractional Schrödinger-Poisson system

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variational methods

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Ljusternik-Schnirelmann theory

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MaRDI profile type

MaRDI publication profile

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cites work

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Multiplicity of Positive Solutions For a Quasilinear Problem in IR<sup>N</sup> Via Penalization Method

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

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Periodic solutions for critical fractional problems

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(Super)critical nonlocal equations with periodic boundary conditions

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On some critical problems for the fractional Laplacian operator

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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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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Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations

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Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents

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

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Positive solution for nonhomogeneous sublinear fractional equations in

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Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth

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Positive semiclassical states for a fractional Schrödinger-Poisson system.

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The Schrödinger-Poisson equation under the effect of a nonlinear local term

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

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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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Q2995197

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

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Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in ${\mathbb{R}^{3}}$

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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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Positive solutions for Schrödinger-Poisson equations with a critical exponent

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full work available at URL

https://doi.org/10.1142/s0219199718500785

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Identifiers

zbMATH Open document ID

1434.35270

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DOI

10.1142/S0219199718500785

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5216648