Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbations of tangent Wulff shapes, quantitatively in terms of the volume
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic c...
Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-depen...
This paper will appear in the proceedings of the conference "Geometric PDEs" held in Pisa in Septemb...
We consider a variant of Gamow’s liquid drop model with an anisotropic surface energy. Under suitabl...
The aim of this thesis is to study some open problems in the calculus of varations, such as the loca...
AbstractThe isoperimetric problem with respect to the product-type density e−|x|22dxdy on the Euclid...
International audienceWe consider the volume-constrained minimization of the sum of the perimeter an...
We consider a variational model describing the shape of liquid drops and crystals under the influenc...
We obtain a full resolution result for minimizers in the exterior isoperimetric problem with respect...
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume...
We consider a convex solid cone C in R^{n+1} with vertex at the origin and boundary smooth away from...
Let be a domain on an -dimensional minimal submanifold in the outside of a convex set in or ...
International audienceMotivated by Gamow's liquid drop model in the large mass regime, we consider a...
ABST RACT We characterize the volume-constrained minimizers of a nonlocal free energy given by the d...
AbstractGiven a compact Riemannian manifold M without boundary, we show that large isoperimetric reg...
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic c...
Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-depen...
This paper will appear in the proceedings of the conference "Geometric PDEs" held in Pisa in Septemb...
We consider a variant of Gamow’s liquid drop model with an anisotropic surface energy. Under suitabl...
The aim of this thesis is to study some open problems in the calculus of varations, such as the loca...
AbstractThe isoperimetric problem with respect to the product-type density e−|x|22dxdy on the Euclid...
International audienceWe consider the volume-constrained minimization of the sum of the perimeter an...
We consider a variational model describing the shape of liquid drops and crystals under the influenc...
We obtain a full resolution result for minimizers in the exterior isoperimetric problem with respect...
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume...
We consider a convex solid cone C in R^{n+1} with vertex at the origin and boundary smooth away from...
Let be a domain on an -dimensional minimal submanifold in the outside of a convex set in or ...
International audienceMotivated by Gamow's liquid drop model in the large mass regime, we consider a...
ABST RACT We characterize the volume-constrained minimizers of a nonlocal free energy given by the d...
AbstractGiven a compact Riemannian manifold M without boundary, we show that large isoperimetric reg...
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic c...
Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-depen...
This paper will appear in the proceedings of the conference "Geometric PDEs" held in Pisa in Septemb...