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.

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.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2015050
Classification : 35P30, 35J92, 49R05
Mots clés : 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.
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     title = {A shape optimization problem for {Steklov} eigenvalues in oscillating domains},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {373--390},
     publisher = {EDP-Sciences},
     volume = {23},
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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. http://www.numdam.org/articles/10.1051/cocv/2015050/

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