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The eigenvalue problem with conductivity boundary conditions

Bucur D., Durus I., Oudet E.

Control and Cybernetics

2008

Vol. 37, no 4

811-829

In this paper we study isoperimetric inequalities for the eigenvalues of the Laplace operator with constant and locally constant boundary conditions. Existence and stability results are presented in the of the gamma and weak gamma convergencies, together with identification of optimal sets by analytical and numerical methods.