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Abstract:

In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Registro:

Documento: Artículo
Título:An optimization problem for the first eigenvalue of the p-fractional Laplacian
Autor:Del Pezzo, L.; Fernández Bonder, J.; López Ríos, L.
Filiación:Departamento de Matemática y Estadistica, Universidad Torcuato Di Tella, Av. Figueroa Alcorta 7350 (C1428BCW), C. A. de Buenos Aires, Argentina
Departamento de Matemática, FCEN - Universidad de Buenos Aires and IMAS - CONICET, Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160, C. A. de Buenos Aires, Argentina
Palabras clave:fractional laplacian; nonlinear eigenvalues; Optimization
Año:2018
Volumen:291
Número:4
Página de inicio:632
Página de fin:651
DOI: http://dx.doi.org/10.1002/mana.201600110
Título revista:Mathematische Nachrichten
Título revista abreviado:Math. Nachr.
ISSN:0025584X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p632_DelPezzo

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Citas:

---------- APA ----------
Del Pezzo, L., Fernández Bonder, J. & López Ríos, L. (2018) . An optimization problem for the first eigenvalue of the p-fractional Laplacian. Mathematische Nachrichten, 291(4), 632-651.
http://dx.doi.org/10.1002/mana.201600110
---------- CHICAGO ----------
Del Pezzo, L., Fernández Bonder, J., López Ríos, L. "An optimization problem for the first eigenvalue of the p-fractional Laplacian" . Mathematische Nachrichten 291, no. 4 (2018) : 632-651.
http://dx.doi.org/10.1002/mana.201600110
---------- MLA ----------
Del Pezzo, L., Fernández Bonder, J., López Ríos, L. "An optimization problem for the first eigenvalue of the p-fractional Laplacian" . Mathematische Nachrichten, vol. 291, no. 4, 2018, pp. 632-651.
http://dx.doi.org/10.1002/mana.201600110
---------- VANCOUVER ----------
Del Pezzo, L., Fernández Bonder, J., López Ríos, L. An optimization problem for the first eigenvalue of the p-fractional Laplacian. Math. Nachr. 2018;291(4):632-651.
http://dx.doi.org/10.1002/mana.201600110