Geodesic
A shape optimization problem for Steklov eigenvalues in oscillating domains
Bonder, Julián Fernández1 ; Spedaletti, Juan F.2
1Departamento de Matemática FCEN – Universidad de Buenos Aires and IMAS – CONICET. Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160, Buenos Aires, Argentina
2Departamento de Matemática, Universidad Nacional de San Luis and IMASL – CONICET. Ejército de los Andes 950 (D5700HHW), San Luis, Argentina.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 2, pp. 373-390

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In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain.

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DOI : 10.1051/cocv/2015050
Classification : 35P30, 35J92, 49R05
Keywords: Shape optimization, Steklov eigenvalues, gamma convergence, oscillating domains

Bonder, Julián Fernández  1   ; Spedaletti, Juan F.  2

1 Departamento de Matemática FCEN – Universidad de Buenos Aires and IMAS – CONICET. Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160, Buenos Aires, Argentina
2 Departamento de Matemática, Universidad Nacional de San Luis and IMASL – CONICET. Ejército de los Andes 950 (D5700HHW), San Luis, Argentina. 
Bonder, Julián Fernández; Spedaletti, Juan F. A shape optimization problem for Steklov eigenvalues in oscillating domains. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 2, pp. 373-390. doi: 10.1051/cocv/2015050
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     author = {Bonder, Juli\'an Fern\'andez and Spedaletti, Juan F.},
     title = {A shape optimization problem for {Steklov} eigenvalues in oscillating domains},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {373--390},
     year = {2017},
     publisher = {EDP-Sciences},
     volume = {23},
     number = {2},
     doi = {10.1051/cocv/2015050},
     mrnumber = {3608085},
     zbl = {1362.35198},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2015050/}
}
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