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Some smoothness results for classical problems in optimal design and applications

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Abstract

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.

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Authors and Affiliations

  1. Dpto. de Ecuaciones Diferenciales y Análisis Numérico, University of Seville, 41012, Sevilla, Spain

    Juan Casado-Díaz

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  1. Juan Casado-Díaz
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Correspondence to Juan Casado-Díaz.

Additional information

In Honor of the Scientific Contributions of Professor Luc Tartar

This work was supported by the project of the “Ministerio de Economía y Competitividad” of Spain (No. MTM2011-24457).

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Casado-Díaz, J. Some smoothness results for classical problems in optimal design and applications. Chin. Ann. Math. Ser. B 36, 703–714 (2015). https://doi.org/10.1007/s11401-015-0972-y

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  • DOI: https://doi.org/10.1007/s11401-015-0972-y

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