Critical and subcritical fractional problems with vanishing potentials

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

doi:10.1142/S0219199715500637

Critical and subcritical fractional problems with vanishing potentials

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

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

24 Citazioni (Scopus)

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	Inglese
pagine (da-a)	1550063-N/A
Rivista	Communications in Contemporary Mathematics
Volume	18
DOI	https://doi.org/10.1142/S0219199715500637
Stato di pubblicazione	Pubblicato - 2016

Keywords

Fractional problems
vanishing potentials

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10.1142/S0219199715500637

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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",

keywords = "Fractional problems, vanishing potentials, Fractional problems, vanishing potentials",

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

year = "2016",

doi = "10.1142/S0219199715500637",

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T1 - Critical and subcritical fractional problems with vanishing potentials

AU - Do Ó, João Marcos

AU - Miyagaki, Olímpio H.

AU - Squassina, Marco

PY - 2016

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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

U2 - 10.1142/S0219199715500637

DO - 10.1142/S0219199715500637

M3 - Article

SN - 0219-1997

VL - 18

SP - 1550063-N/A

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

ER -

Critical and subcritical fractional problems with vanishing potentials

Abstract

Keywords

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