Positive Semiclassical States for a Fractional Schrodinger-poisson System

EG Murcia; G Siciliano

doi:10.48550/arXiv.1601.00485

Positive Semiclassical States for a Fractional Schrodinger-poisson System

EG Murcia
, G Siciliano

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a fractional Schrödinger-Poisson system in the whole space R^N in presence of a positive potential and depending on a small positive parameter ε. We show that, for suitably small ε (i.e. in the "semiclassical limit") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential.

Original language	English
Pages (from-to)	231-258
Number of pages	28
Journal	Differential and Integral Equations
Volume	30
Issue number	3-4
DOIs	https://doi.org/10.48550/arXiv.1601.00485
State	Published - 2017

Access to Document

10.48550/arXiv.1601.00485

Cite this

@article{af148aab263a4e018cff012d2625afbf,

title = "Positive Semiclassical States for a Fractional Schrodinger-poisson System",

abstract = "We consider a fractional Schr{\"o}dinger-Poisson system in the whole space RN in presence of a positive potential and depending on a small positive parameter ε. We show that, for suitably small ε (i.e. in the {"}semiclassical limit{"}) the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential. ",

author = "EG Murcia and G Siciliano",

year = "2017",

doi = "10.48550/arXiv.1601.00485",

language = "English",

volume = "30",

pages = "231--258",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing",

number = "3-4",

}

TY - JOUR

T1 - Positive Semiclassical States for a Fractional Schrodinger-poisson System

AU - Murcia, EG

AU - Siciliano, G

PY - 2017

Y1 - 2017

N2 - We consider a fractional Schrödinger-Poisson system in the whole space RN in presence of a positive potential and depending on a small positive parameter ε. We show that, for suitably small ε (i.e. in the "semiclassical limit") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential.

AB - We consider a fractional Schrödinger-Poisson system in the whole space RN in presence of a positive potential and depending on a small positive parameter ε. We show that, for suitably small ε (i.e. in the "semiclassical limit") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential.

UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=pure_puj3&SrcAuth=WosAPI&KeyUT=WOS:000398138000003&DestLinkType=FullRecord&DestApp=WOS

U2 - 10.48550/arXiv.1601.00485

DO - 10.48550/arXiv.1601.00485

M3 - Article

SN - 0893-4983

VL - 30

SP - 231

EP - 258

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 3-4

ER -

Positive Semiclassical States for a Fractional Schrodinger-poisson System

Abstract

Access to Document

Other files and links

Fingerprint

Cite this