Showing math.APShow all
3 papers · 1 filter
math.AP2024
A concentration-compactness principle for perturbed isoperimetric problems with general assumptions
Jules Candau-Tilh
Derived from the concentration-compactness principle, the concept of generalized minimizer can be used to define generalized solutions of variational problems which may have compon…
math.AP2023
An exterior optimal transport problem
Jules Candau-Tilh, Michael Goldman, Benoît Merlet
This paper deals with a variant of the optimal transportation problem. Given f L 1 (R d , [0, 1]) and a cost function c C(R d x R d) of the form c(x, y) = k(y -- x), we…
math.AP2021
Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type
Jules Candau-Tilh, Michael Goldman
The aim of this paper is to prove the existence of minimizers for a variational problem involving the minimization under volume constraint of the sum of the perimeter and a non-loc…