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Minimization of the first eigenvalue in problems involving the bi-laplacian

dc.creatorAnedda, Claudia
dc.creatorCuccu, Fabrizio
dc.creatorPorru, Giovanni
dc.date.accessioned2015-05-19T18:51:22Z
dc.date.available2015-05-19T18:51:22Z
dc.date.issued2009-02-27 00:00:00
dc.identifier.citationhttp://revistas.ucr.ac.cr/index.php/matematica/article/view/1422
dc.identifier.issn
dc.identifier.urihttps://hdl.handle.net/10669/12950
dc.description.abstractThis paper concerns the minimization of the first eigenvalue in problems involvingthe bi-Laplacian under either homogeneous Navier boundary conditions or homogeneousDirichlet boundary conditions. Physically, in case of N = 2, our equation modelsthe vibration of a non homogeneous plate  which is either hinged or clamped alongthe boundary. Given several materials (with different densities) of total extension ||,we investigate the location of these materials inside  so to minimize the first modein the vibration of the corresponding plate.Keywords: bi-Laplacian, first eigenvalue, minimization.
dc.description.abstractEste art´?culo trata de la minimizaci´on del primer autovalor en problemas relativosal bi-Laplaciano bajo condiciones de frontera homog´eneas de tipo Navier o Dirichlet.F´?sicamente, en el problema bi-dimensional, nuestra ecuacin modela la vibraci´on deuna placa inhomog´enea  fija con goznes a lo largo de su borde. Dados varios materiales(de diferentes densidades) y extensi´on total ||, investigamos cu´al debe serla localizaci´on de tales materiales en la placa para minimizar el primer modo de suvibraci´on.Palabras clave: bi-Laplaciano, primer autovalor, minimizaci´on.
dc.format.extent127-136
dc.relation.ispartofRevista de Matemática: Teoría y Aplicaciones Vol. 16 Núm. 1 2009
dc.titleMinimization of the first eigenvalue in problems involving the bi-laplacian
dc.titleMinimization of the first eigenvalue in problems involving the bi-laplacian
dc.typeartículo científicoes_ES
dc.date.updated2015-05-19T18:51:22Z
dc.language.rfc3066es
dc.identifier.doi10.15517/rmta.v16i1.1422


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