Stability of variational eigenvalues for the fractional $p-$Laplacian | Zendy

Lorenzo Brasco | Zendy; Enea Parini | Zendy; Marco Squassina | Zendy

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

Author(s) -

Lorenzo Brasco,

Enea Parini,

Marco Squassina

Publication year - 2015

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2016.36.1813

Subject(s) - p laplacian , eigenfunction , eigenvalues and eigenvectors , mathematics , laplace operator , operator (biology) , convergence (economics) , limit (mathematics) , norm (philosophy) , pure mathematics , mathematical analysis , physics , boundary value problem , quantum mechanics , philosophy , biochemistry , chemistry , repressor , transcription factor , economics , gene , economic growth , epistemology

International audienceBy virtue of Γ−convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional p−Laplacian operator, in the singular limit as the nonlocal operator converges to the p−Laplacian. We also obtain the convergence of the corresponding normalized eigenfunctions in a suitable fractional norm

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