Abstract
The paper is devoted to analysis of optimization problems in coefficients of fourth order elliptic boundary value problems. Similar problems were investigated in the framework of shape optimal design of thin plates. Since in general such problems have no optimal solution, G-convergence theory of elliptic operators is exploited in order to define and to characterize generalized optimal solutions. Necessary optimality conditions for nonsmooth optimization problems are derived. Results of computations for two examples are presented.
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