15 citations · 39 across the 5 of their papers we have counts for
6 papers · 1 filter
Concentration of CMC Surfaces in a 3-manifold
Paul Laurain
We prove that simply connected H-surfaces with small diameter in a 3-manifold necessarily concentrate at a critical point of the scalar curvature.
Asymptotic analysis for surfaces with large constant mean curvature and free boundaries
Paul Laurain
We prove that simply connected H-surfaces with bounded area and free boundary in a domain necessarily concentrate at a critical point of the mean curvature of the boundary of this…
An Obstruction to the Existence of Immersed Curves of Prescribed Curvature
Stephane Kirsch, Paul Laurain
Here are the proofs of your article. You can submit your corrections online or by fax. For online submission please insert your corrections in the online correc…
Classification of uniformly distributed measures of dimension in general codimension
Paul Laurain, Mircea Petrache
Starting with the work of Preiss on the geometry of measures, the classification of uniform measures in has remained open, except for and for compactly supporte…
Existence of Min-Max Free Boundary Disks Releasing the Width of a Manifold
Paul Laurain, Romain Petrides
We perform a replacement procedure in order to produce a free boundary minimal surface whose area achieves the min-max value over all disk sweepouts of a manifold whose boundary li…
Energy convexity of intrinsic bi-harmonic maps and applications I: spherical target
Paul Laurain, Longzhi Lin
Every harmonic map is an intrinsic bi-harmonic map as an absolute minimizer of the intrinsic bi-energy functional, therefore intrinsic bi-harmonic map and its heat flow are more ge…