Stability of variational eigenvalues for the fractional p-Laplacian

L. Brasco; E. Parini; Marco Squassina

doi:10.3934/dcds.2016.36.1813

Stability of variational eigenvalues for the fractional p-Laplacian

L. Brasco
, E. Parini
, Marco Squassina

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

66 Citazioni (Scopus)

Abstract

By virtue of Γ−convergence arguments, we investigate the stability\r\nof variational eigenvalues associated with a given topological index for\r\nthe fractional p−Laplacian operator, in the singular limit as the nonlocal operator\r\nconverges to the p−Laplacian. We also obtain the convergence of the\r\ncorresponding normalized eigenfunctions in a suitable fractional norm

Lingua originale	Inglese
pagine (da-a)	1813-1845
Numero di pagine	33
Rivista	Discrete and Continuous Dynamical Systems
Volume	36
Numero di pubblicazione	N/A
DOI	https://doi.org/10.3934/dcds.2016.36.1813
Stato di pubblicazione	Pubblicato - 2016

All Science Journal Classification (ASJC) codes

Analisi
Matematica Discreta e Combinatoria
Matematica Applicata

Keywords

Variational eigenvalues
fractional problems

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10.3934/dcds.2016.36.1813

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keywords = "Variational eigenvalues, fractional problems, Variational eigenvalues, fractional problems",

author = "L. Brasco and E. Parini and Marco Squassina",

year = "2016",

doi = "10.3934/dcds.2016.36.1813",

language = "English",

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AU - Parini, E.

AU - Squassina, Marco

PY - 2016

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AB - By virtue of Γ−convergence arguments, we investigate the stability\r\nof variational eigenvalues associated with a given topological index for\r\nthe fractional p−Laplacian operator, in the singular limit as the nonlocal operator\r\nconverges to the p−Laplacian. We also obtain the convergence of the\r\ncorresponding normalized eigenfunctions in a suitable fractional norm

KW - Variational eigenvalues

KW - fractional problems

KW - Variational eigenvalues

KW - fractional problems

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

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ER -

Stability of variational eigenvalues for the fractional p-Laplacian

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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