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math.AP2018
Free boundary regularity for a multiphase shape optimization problem
Luca Spolaor, Baptiste Trey, Bozhidar Velichkov
In this paper we prove a regularity result in dimension two for almost-minimizers of the constrained one-phase Alt-Caffarelli and the two-phase Alt-Caffarelli-Friedman fu…
math.AP2018
Existence and Regularity of Optimal Shapes for Elliptic Operators with Drift
Emmanuel Russ, Baptiste Trey, Bozhidar Velichkov
This paper is devoted to the study of shape optimization problems for the first eigenvalue of the elliptic operator with drift L = --+V (x)\cdot \nabla with Dirichlet boundary c…