Schrodinger-Poisson systems with a general critical nonlinearity

Jianjun Zhang; João Marcos Do Ó; Marco Squassina

doi:10.1142/S0219199716500280

Schrodinger-Poisson systems with a general critical nonlinearity

Jianjun Zhang
, João Marcos Do Ó
, Marco Squassina

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

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	Inglese
pagine (da-a)	N/A-N/A
Rivista	Communications in Contemporary Mathematics
Volume	19
DOI	https://doi.org/10.1142/S0219199716500280
Stato di pubblicazione	Pubblicato - 2016

Keywords

Schrodinger-Poisson systems

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10.1142/S0219199716500280

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title = "Schrodinger-Poisson systems with a general 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",

keywords = "Schrodinger-Poisson systems, Schrodinger-Poisson systems",

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

year = "2016",

doi = "10.1142/S0219199716500280",

language = "English",

volume = "19",

pages = "N/A--N/A",

journal = "Communications in Contemporary Mathematics",

issn = "0219-1997",

publisher = "World Scientific",

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T1 - Schrodinger-Poisson systems with a general 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 - Schrodinger-Poisson systems

UR - http://hdl.handle.net/10807/87032

U2 - 10.1142/S0219199716500280

DO - 10.1142/S0219199716500280

M3 - Article

SN - 0219-1997

VL - 19

SP - N/A-N/A

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

ER -

Schrodinger-Poisson systems with a general critical nonlinearity

Abstract

Keywords

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