2.2. The 3-dimensional projective space 19 2.3. Isoperimetry and bending energy 21 2.4.
The isoperimetric profile 24 2.5. Lévy-Gromov isoperimetric inequality 26 3. The …

Proof of the Double Bubble Conjecture Page 1 Annals of Mathematics, 155 (2002), 459-489
Proof of the Double Bubble Conjecture By MICHAEL HUTCHINGS, FRANK MORGAN …

In this paper we prove that any immersed stable capillary hypersurfaces in a ball in space
forms are totally umbilical. Our result also provides a proof of a conjecture proposed by …

We study stable capillary surfaces in a euclidean ball in the absence of gravity. We prove, in
particular, that such a surface must be a flat disk or a spherical cap if it has genus zero. We …

We study the problem of existence of regions separating a given amount of volume with the
least possible perimeter inside a Euclidean cone. Our main result shows that nonexistence …

We study the isoperimetric problem in the Riemannian products S^1(r)*Q^n_c, where Q^n_c
is the n-dimensional simply connected space form of constant sectional curvature c= 0, 1 …

We show that the Morse index of a properly embedded free boundary minimal hypersurface
in a strictly mean convex domain of the Euclidean space grows linearly with the dimension …

For each integer $ g\geq 1$ we use variational methods to construct in the unit $3 $-ball $ B
$ a free boundary minimal surface $\Sigma_g $ of symmetry group $\mathbb {D} _ {g+ 1} …

The purpose of this work is to give a coherent introduction to the theory and methods behind
isoperimetric inequalities in Riemannian manifolds, including many of the results obtained in …

Capillary surfaces with free boundary in a wedge - ScienceDirect Skip to main contentSkip
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