Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity

Jianjun Zhang; João Marcos Do Ó; Marco Squassina

doi:10.1515/ans-2015-5024

Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity

Jianjun Zhang, João Marcos Do Ó, Marco Squassina

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

85 Citazioni (Scopus)

Abstract

We consider a fractional Schrödinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.

Lingua originale	English
pagine (da-a)	15-30
Numero di pagine	16
Rivista	Advanced Nonlinear Studies
Volume	16
DOI	https://doi.org/10.1515/ans-2015-5024
Stato di pubblicazione	Pubblicato - 2016

Keywords

Fractional problems
Schrodinger-Poisson

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10.1515/ans-2015-5024

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title = "Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity",

abstract = "We consider a fractional Schr{\"o}dinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.",

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author = "Jianjun Zhang and {Do {\'O}}, {Jo{\~a}o Marcos} and Marco Squassina",

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T1 - Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity

AU - Zhang, Jianjun

AU - Do Ó, João Marcos

AU - Squassina, Marco

PY - 2016

Y1 - 2016

N2 - We consider a fractional Schrödinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.

AB - We consider a fractional Schrödinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.

KW - Fractional problems

KW - Schrodinger-Poisson

KW - Fractional problems

KW - Schrodinger-Poisson

UR - http://hdl.handle.net/10807/87050

U2 - 10.1515/ans-2015-5024

DO - 10.1515/ans-2015-5024

M3 - Article

SN - 1536-1365

VL - 16

SP - 15

EP - 30

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

ER -

Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity

Abstract

Keywords

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