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Autor Arrieta Algarra, José María |
Documentos disponibles escritos por este autor (34)
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Arrieta Algarra, José María ; Rodríguez Bernal, Aníbal ; Rossi, Julio D. | Cambridge University Press | 2008In this paper we prove that the best constant in the Sobolev trace embedding H1() ,! Lq(@) in a bounded smooth domain can be obtained as the limit as " ! 0 of the best constant of the usual Sobolev embedding H1() ,! Lq(!", dx/") where !" = {x 2 [...]texto impreso
In this work we study in detail how to adapt the unfolding operator method to thin domains with periodic oscillatory boundaries. We present the unfolding method as a general approach which allows us to analyze the behavior of the solutions of a [...]texto impreso
Arrieta Algarra, José María ; Carvalho, Alexandre N. ; Rodríguez Bernal, Aníbal | Elsevier | 2000-11-20The motivations to study the problem considered in this paper come from the theory of composite materials, where the heat diffusion properties can change from one part of the domain to another. Mathematically, this leads to a nonlinear second-or[...]texto impreso
Arrieta Algarra, José María ; Bruschi, Simone M. | American Institute of Mathematical Sciences | 2010We continue the analysis started in [3] and announced in [2], studying the behavior of solutions of nonlinear elliptic equations in ? with nonlinear boundary conditions of type , when the boundary of the domain varies very rapidly. We show th[...]