activity
20152022
most citedFree boundary minimal surfaces of any topological type in Euclidean balls via shape optimization

17 citations · 20 across the 3 of their papers we have counts for

collaborators
Showing math.APShow all

2 papers · 1 filter

math.AP2022

Maximizing one Laplace eigenvalue on n-dimensional manifolds

Romain Petrides

We prove existence and regularity results for the problem of maximization of one Laplace eigenvalue with respect to metrics of same volume lying in a conformal class of a Riemannia…

math.AP2015

Regularity and quantification for harmonic maps with free boundary

Paul Laurain, Romain Petrides

We prove a quantification result for harmonic maps with free boundary from arbitrary Riemannian surfaces into the unit ball of with bounded energy. This general…