Kybernetika 29 no. 3, 270-283, 1993

Shape optimization of a nonlinear elliptic system

Andrzej Myslinski

Abstract:

Shape optimization problem for a nonlinear elastic plate governed by von Karman equation is considered. Using material derivative method, sensitivity analysis of the solution to the von Kármán system with respect to the variation of the domain is performed and a necessary optimality condition is derived.

Classification:

49K20, 49Q10, 74P99, 74K20, 35J60, 35J45, 73K10, 73k40