Critical and subcritical fractional problems with vanishing potentials

Marco Squassina; João Marcos Do Ó; Olímpio H. Miyagaki

Critical and subcritical fractional problems with vanishing potentials

Marco Squassina, João Marcos Do Ó, Olímpio H. Miyagaki

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

Abstract

We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled

Lingua originale	English
pagine (da-a)	1550063-N/A
Rivista	Communications in Contemporary Mathematics
Volume	18
Stato di pubblicazione	Pubblicato - 2016

Keywords

Fractional problems
vanishing potentials

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title = "Critical and subcritical fractional problems with vanishing potentials",

abstract = "We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled",

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author = "Marco Squassina and {Do {\'O}}, {Jo{\~a}o Marcos} and Miyagaki, {Ol{\'i}mpio H.}",

year = "2016",

language = "English",

volume = "18",

pages = "1550063--N/A",

journal = "Communications in Contemporary Mathematics",

issn = "0219-1997",

publisher = "World Scientific Publishing Company:PO Box 128, Farrer Road, Singapore 912805 Singapore:011 65 6 4665775, EMAIL: journal@wspc.com.sg, INTERNET: http://www.wspc.com.sg, http://www.worldscinet.com, Fax: 011 65 6 4677667",

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T1 - Critical and subcritical fractional problems with vanishing potentials

AU - Squassina, Marco

AU - Do Ó, João Marcos

AU - Miyagaki, Olímpio H.

PY - 2016

Y1 - 2016

N2 - We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled

AB - We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled

KW - Fractional problems

KW - vanishing potentials

KW - Fractional problems

KW - vanishing potentials

UR - http://hdl.handle.net/10807/87076

M3 - Article

VL - 18

SP - 1550063-N/A

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

SN - 0219-1997

ER -

Critical and subcritical fractional problems with vanishing potentials

Abstract

Keywords

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