caa a22 4500 463245717 CHVBK 20180405153325.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00009-007-0102-5 doi (NATIONALLICENCE)springer-10.1007/s00009-007-0102-5 Optimization by the Homogenization Method for Nonlinear Elliptic Dirichlet Systems [Elektronische Daten] [Carmen Calvo-Jurado, Juan Casado-Díaz] Abstract.: We study the existence of solutions of control problems relative to a nonlinear elliptic system with Dirichlet boundary conditions. In this problem, the control variables are the coefficients of the equations and the open set where they are posed. It is known that this class of problems has no solution in general, but using homogenization results about elliptic systems we show the existence of solutions when the controls are searched in a bigger set. These results are related to the selection of optimal materials and shapes. Birkhäuser Verlag Basel/Switzerland, 2007 Homogenization nationallicence control nationallicence elliptic system nationallicence Dirichlet problem nationallicence perforated domain nationallicence Calvo-Jurado Carmen Departamento de Matemáticas Escuela Politécnica, Universidad de Extremadura, Avenida de la Universidad s/n, 10071, Cáceres, Spain aut Casado-Díaz Juan Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, c/Tarfia s/n, 41012, Sevilla, Spain aut Mediterranean Journal of Mathematics Birkhäuser-Verlag; www.birkhäuser.ch 4/1(2007-04-01), 53-63 1660-5446 4:1<53 2007 4 9 https://doi.org/10.1007/s00009-007-0102-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00009-007-0102-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Calvo-Jurado Carmen Departamento de Matemáticas Escuela Politécnica, Universidad de Extremadura, Avenida de la Universidad s/n, 10071, Cáceres, Spain aut NATIONALLICENCE 700 1- Casado-Díaz Juan Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, c/Tarfia s/n, 41012, Sevilla, Spain aut NATIONALLICENCE 773 0- Mediterranean Journal of Mathematics Birkhäuser-Verlag; www.birkhäuser.ch 4/1(2007-04-01), 53-63 1660-5446 4:1<53 2007 4 9 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer