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Abstract:

In this paper we study the optimization problem for the first eigenvalue of the p-Laplacian plus a potential V with respect to V, when the potential is restricted to a bounded, closed and convex Bet of Lq(Ω).

Registro:

Documento: Artículo
Título:An optimization problem for the first eigenvalue of the p-Laplacian plus a potential
Autor:Bonder, J.F.; Del Pezzo, L.M.
Filiación:Departamento de Matemática, FCEyN, Ciudad Universitaria, (1428), Buenos Aires, Argentina
Palabras clave:Minimization problems; Nonlinear eigenvalues; P-Laplacian
Año:2006
Volumen:5
Número:4
Página de inicio:675
Página de fin:690
DOI: http://dx.doi.org/10.3934/cpaa.2006.5.675
Título revista:Communications on Pure and Applied Analysis
Título revista abreviado:Commun. Pure Appl. Anal.
ISSN:15340392
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_15340392_v5_n4_p675_Bonder.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v5_n4_p675_Bonder

Referencias:

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  • Anane, A., Simplicité et isolation de la premiére valeur props du p-lapacien avec poids (1987) C.R. Acad. Sci. Paris Ser. I Math., 305, pp. 725-728
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Citas:

---------- APA ----------
Bonder, J.F. & Del Pezzo, L.M. (2006) . An optimization problem for the first eigenvalue of the p-Laplacian plus a potential. Communications on Pure and Applied Analysis, 5(4), 675-690.
http://dx.doi.org/10.3934/cpaa.2006.5.675
---------- CHICAGO ----------
Bonder, J.F., Del Pezzo, L.M. "An optimization problem for the first eigenvalue of the p-Laplacian plus a potential" . Communications on Pure and Applied Analysis 5, no. 4 (2006) : 675-690.
http://dx.doi.org/10.3934/cpaa.2006.5.675
---------- MLA ----------
Bonder, J.F., Del Pezzo, L.M. "An optimization problem for the first eigenvalue of the p-Laplacian plus a potential" . Communications on Pure and Applied Analysis, vol. 5, no. 4, 2006, pp. 675-690.
http://dx.doi.org/10.3934/cpaa.2006.5.675
---------- VANCOUVER ----------
Bonder, J.F., Del Pezzo, L.M. An optimization problem for the first eigenvalue of the p-Laplacian plus a potential. Commun. Pure Appl. Anal. 2006;5(4):675-690.
http://dx.doi.org/10.3934/cpaa.2006.5.675