Regularity for Shape Optimizers: The Nondegenerate Case
Regularity for Shape Optimizers: The Nondegenerate Case
Abstract We consider minimizers of urn:x-wiley:0010-3640:media:cpa21743:cpa21743-math-0001 where F is a function strictly increasing in each parameter, and is the k th Dirichlet eigenvalue of Ω. Our main result is that the reduced boundary of the minimizer is composed of C 1,α graphs and exhausts the topological boundary except for a …