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
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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
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Palabras clave: | fractional laplacian; nonlinear eigenvalues; Optimization |
Año: | 2018
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Volumen: | 291
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Número: | 4
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Página de inicio: | 632
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Página de fin: | 651
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DOI: |
http://dx.doi.org/10.1002/mana.201600110 |
Título revista: | Mathematische Nachrichten
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Título revista abreviado: | Math. Nachr.
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ISSN: | 0025584X
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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