1 citations · 1 across the 7 of their papers we have counts for
10 papers
Unique continuation for nonlinear variational problems
Lorenzo Ferreri, Luca Spolaor, Bozhidar Velichkov
This paper is dedicated to the unique continuation properties of the solutions to nonlinear variational problems. Our analysis covers the case of nonlinear autonomous functionals d…
On the boundary branching set of the one-phase problem
Lorenzo Ferreri, Luca Spolaor, Bozhidar Velichkov
We consider minimizers of the one-phase Bernoulli free boundary problem in domains with analytic fixed boundary. In any dimension , we prove that the branching set at the bounda…
Boundary regularity of the free interface in spectral optimal partition problems
Roberto Ognibene, Bozhidar Velichkov
We consider the problem of optimal partition of a domain with respect to the sum of the principal eigenvalues and we prove for the first time regularity results for the free interf…
A capillarity one-phase Bernoulli free boundary problem
Lorenzo Ferreri, Giorgio Tortone, Bozhidar Velichkov
We consider a one-phase Bernoulli free boundary problem in a container - a smooth open subset of - under the condition that on the fixed boundary th…
On the dimension of the singular set in optimization problems with measure constraint
Dario Mazzoleni, Giorgio Tortone, Bozhidar Velichkov
In this paper, we prove estimates on the dimension of the singular part of the free boundary for solutions to shape optimization problems with measure constraints. The focus is on…
Regularity for one-phase Bernoulli problems with discontinuous weights and applications
Lorenzo Ferreri, Bozhidar Velichkov
We study a one-phase Bernoulli free boundary problem with weight function admitting a discontinuity along a smooth jump interface. In any dimension , we show the …