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Abstract:

In this paper, we analyze an optimization problem for the first (nonlinear) Steklov eigenvalue plus a boundary potential with respect to the potential function which is assumed to be uniformly bounded and with fixed L1-norm. © 2014 Elsevier Inc.

Registro:

Documento: Artículo
Título:An optimization problem for nonlinear Steklov eigenvalues with a boundary potential
Autor:Fernández Bonder, J.; Giubergia, G.O.; Mazzone, F.D.
Filiación:IMAS-CONICET and Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428) Buenos Aires, Argentina
Departamento de Matematicas, Universidad Nacional de Rio Cuarto, 5800 Rio Cuarto, Argentina
Palabras clave:Eigenvalue optimization; P-Laplacian; Steklov eigenvalues
Año:2014
Volumen:417
Número:1
Página de inicio:234
Página de fin:243
DOI: http://dx.doi.org/10.1016/j.jmaa.2014.03.040
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v417_n1_p234_FernandezBonder

Referencias:

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  • Chanillo, S., Grieser, D., Kurata, K., The free boundary problem in the optimization of composite membranes (2000) Contemp. Math., 268, pp. 61-81. , Amer. Math. Soc., Providence, RI, Differential Geometric Methods in the Control of Partial Differential Equations
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Citas:

---------- APA ----------
Fernández Bonder, J., Giubergia, G.O. & Mazzone, F.D. (2014) . An optimization problem for nonlinear Steklov eigenvalues with a boundary potential. Journal of Mathematical Analysis and Applications, 417(1), 234-243.
http://dx.doi.org/10.1016/j.jmaa.2014.03.040
---------- CHICAGO ----------
Fernández Bonder, J., Giubergia, G.O., Mazzone, F.D. "An optimization problem for nonlinear Steklov eigenvalues with a boundary potential" . Journal of Mathematical Analysis and Applications 417, no. 1 (2014) : 234-243.
http://dx.doi.org/10.1016/j.jmaa.2014.03.040
---------- MLA ----------
Fernández Bonder, J., Giubergia, G.O., Mazzone, F.D. "An optimization problem for nonlinear Steklov eigenvalues with a boundary potential" . Journal of Mathematical Analysis and Applications, vol. 417, no. 1, 2014, pp. 234-243.
http://dx.doi.org/10.1016/j.jmaa.2014.03.040
---------- VANCOUVER ----------
Fernández Bonder, J., Giubergia, G.O., Mazzone, F.D. An optimization problem for nonlinear Steklov eigenvalues with a boundary potential. J. Math. Anal. Appl. 2014;417(1):234-243.
http://dx.doi.org/10.1016/j.jmaa.2014.03.040