Least energy solutions for a class of fractional Schrödinger-Poisson systems (Q4586467)

scientific article; zbMATH DE number 6936021

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English	Least energy solutions for a class of fractional Schrödinger-Poisson systems	scientific article; zbMATH DE number 6936021

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instance of

scholarly article

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title

Least energy solutions for a class of fractional Schrödinger-Poisson systems (English)

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Journal of Mathematical Physics

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publication date

13 September 2018

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zbMATH Keywords

Poisson equation

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Schrödinger equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.5047663

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cites work

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MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM

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

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Ground state solutions of scalar field fractional Schrödinger equations

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An Extension Problem Related to the Fractional Laplacian

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Positive solutions for some non-autonomous Schrödinger-Poisson systems

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Nonconvex minimization problems

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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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 result for the fractional Schrödinger equations with critical nonlinearities

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On some fractional order Hardy inequalities

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Two positive solutions of a class of Schrödinger-Poisson system with indefinite nonlinearity

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Q5352050

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Existence of solutions with prescribed norm for semilinear elliptic equations

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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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Existence of positive solutions to the Schrödinger-Poisson system without compactness conditions

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SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE

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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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Existence result for fractional Schrödinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition

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

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Minimax theorems

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The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system

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Identifiers

zbMATH Open document ID

1395.35176

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DOI

10.1063/1.5047663

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4586467