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Some Smoothness Results for Classical Problems in Optimal Design and Applications

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摘要 The author considers two classical problems in optimal design consisting in maximizing or minimizing the energy corresponding to the mixture of two isotropic materials or two-composite material. These results refer to the smoothness of the optimal solutions. They also apply to the minimization of the first eigenvalue. The author considers two classical problems in optimal design consisting in maximizing or minimizing the energy corresponding to the mixture of two isotropic ma- terials or two-composite material. These results refer to the smoothness of the optimal solutions. They also apply to the minimization of the first eigenvalue.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第5期703-714,共12页 数学年刊(B辑英文版)
基金 supported by the project of the"Ministerio de Economia y Competitividad"of Spain(No.MTM2011-24457)
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