The Minimal Gap Between \Lambda_2(\Omega) and \Lambda_infty(\Omega) in a Class of Convex Domains

Marino Belloni (1) , Edouard Oudet (2)

1 Dipartimento di Matematica [Pisa]
2 LAMA - Laboratoire 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]

Marino Belloni, Edouard Oudet. The Minimal Gap Between \Lambda_2(\Omega) and \Lambda_infty(\Omega) in a Class of Convex Domains. Journal of Convex Analysis, 2008, 15 (3), pp.507--521. ⟨hal-00385130⟩