The eigenvalue problem with conductivity boundary conditions

Dorin Bucur (1) , Ioana Durus (1) , Edouard Oudet (1, 2)

1 LAMA - Laboratoire de Mathématiques
2 Département de mathématiques

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 frame of the gamma and weak gamma convergencies, together with identification of optimal sets by analytical and numerical methods.

Domaines: Equations aux dérivées partielles [math.AP]

Dorin Bucur, Ioana Durus, Edouard Oudet. The eigenvalue problem with conductivity boundary conditions. Control and Cybernetics, 2008. ⟨hal-00385139⟩