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Regularity for Shape Optimizers: The Degenerate Case

Regularity for Shape Optimizers: The Degenerate Case

Abstract We consider minimizers of urn:x-wiley:00103640:media:cpa21810:cpa21810-math-0001 where F is a function nondecreasing in each parameter, and λ k (Ω) is the k th Dirichlet eigenvalue of ω. This includes, in particular, functions F that depend on just some of the first N eigenvalues, such as the often‐studied F = λ …