Parametrization of a family of minimal surfaces bounded by the broken lines in .
Partial regularity of functions of least gradient in
Perturbing away singularity from area-minimizing hypercones.
Phenomena of compensation and estimates for partial differential equations.
Plateau's problem for H-convex curves.
Plateau's Problem for surfaces of constant mean curvature form a global point of view.
Plateau's Problem for Surfaces of Prescribed Mean Curvature in Given Regions.
Prescribed mean curvature hypersurfaces in with convex planar boundary, II
Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante
Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
In this paper we describe moving frames and differential invariants for curves in two different -graded parabolic manifolds , and , and we define differential invariants of projective-type. We then show that, in the first case, there are geometric flows in inducing equations of KdV-type in the projective-type differential invariants when proper initial conditions are chosen. We also show that geometric Poisson brackets in the space of differential invariants of curves in can be reduced...
Proof of the double bubble conjecture.