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| Some Smoothness Results for Classical Problems in Optimal Designand Applications |
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Citation： |
Juan CASADO-DIAZ.Some Smoothness Results for Classical Problems in Optimal Designand Applications[J].Chinese Annals of Mathematics B,2015,36(5):703~714 |
| Page view： 991
Net amount： 825 |
Authors： |
Juan CASADO-DIAZ; |
Foundation： |
This work was supported by the project of the
``Ministerio de Econom\'{\i}a y
Competitividad" of Spain (No. MTM2011-24457). |
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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. |
Keywords： |
Optimal design, Two-phase material, Non-existence, Relaxation |
Classification： |
49J20 |
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