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Recent Advances in Partial Differential Equations and Applications

Recent Advances in Partial Differential Equations and Applications

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 d .Here λ1(Ω; D) is the first eigenvalue of the Laplace operator -∆ with Dirichlet conditions on ∂Ω ∩ D …