Geodesic
Optimal control of the natural frequency of a plate of variable thickness
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 866-877

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Plate shape optimization is considered, such that the fundamental frequency of the plate is a maximum for given lower and upper bounds on the weight and thickness of the plate. The existence of an optimal control is proved, and the solutions of the appropriate finite-dimensional problems are shown to be convergent to the solution of the initial infinite-dimensional optimal control problem. 
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     author = {V. G. Litvinov},
     title = {Optimal control of~the natural frequency of~a~plate of~variable thickness},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {866--877},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a7/}
}
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V. G. Litvinov. Optimal control of the natural frequency of a plate of variable thickness. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 866-877. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a7/