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

Research output: Contribution to journal › Article › peer-review

66 Citations (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

Original language	English
Pages (from-to)	1813-1845
Number of pages	33
Journal	Discrete and Continuous Dynamical Systems
Volume	36
Issue number	N/A
DOIs	https://doi.org/10.3934/dcds.2016.36.1813
Publication status	Published - 2016

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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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journal = "Discrete and Continuous Dynamical Systems",

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T1 - Stability of variational eigenvalues for the fractional p-Laplacian

AU - Brasco, L.

AU - Parini, E.

AU - Squassina, Marco

PY - 2016

Y1 - 2016

N2 - 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

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

UR - https://publicatt.unicatt.it/handle/10807/87055

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84943525413&origin=inward

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - N/A

ER -

Stability of variational eigenvalues for the fractional p-Laplacian

Abstract

All Science Journal Classification (ASJC) codes

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