The Spectral Drop Problem
نویسندگان
چکیده
We consider spectral optimization problems of the form min { λ1(Ω;D) : Ω ⊂ D, |Ω| = 1 } , where D is a given subset of the Euclidean space R. Here λ1(Ω;D) is the first eigenvalue of the Laplace operator −∆ with Dirichlet conditions on ∂Ω ∩D and Neumann or Robin conditions on ∂Ω ∩ ∂D. The equivalent variational formulation λ1(Ω;D) = min {∫
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