Kybernetika 29 no. 3, 249-255, 1993

A unified optimality condition for eigenvalue problems

W. B. Liu and J. E. Rubio

Abstract:

An optimality condition is derived for the problem of maximization of the first eigenvalue of an abstract elliptic differential operator in a Hilbert space. This condition unifies some known criteria in optimal design and gives some new ones as well. The result is obtained by using some techniques of nonsmooth optimization.

Classification:

35P99, 49K27, 35B37, 49Q10, 49R05, 49J52