35 citations · 40 across the 36 of their papers we have counts for
5 papers · 1 filter
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…
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…
On the asymptotic behavior of the solutions to parabolic variational inequalities
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variational inequalities, with non-smooth constraint, and prove that they satisfy a ne…
Regularity of the free boundary for the vectorial Bernoulli problem
Dario Mazzoleni, Susanna Terracini, Bozhidar Velichkov
In this paper we study the regularity of the free boundary for a vector-valued Bernoulli problem, with no sign assumptions on the boundary data. More precisely, given an open, smoo…
(Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents
Max Engelstein, Luca Spolaor, Bozhidar Velichkov
We prove a new logarithmic epiperimetric inequality for multiplicity-one stationary cones with isolated singularity by flowing in the radial direction any given trace along appropr…