Free boundary regularity for a multiphase shape optimization problem
Free boundary regularity for a multiphase shape optimization problem
In this paper we prove a C1,α regularity result in dimension two for almost-minimizers of the constrained one-phase Alt-Caffarelli and the two-phase Alt-Caffarelli-Friedman functionals for an energy with variable coefficients. As a consequence, we deduce the complete regularity of solutions of a multiphase shape optimization problem for the first eigenvalue …