Add to ORKGAbstract Given a positive function F on Sn which satisfies a convexity condition, we introduce the r-th anisotropic mean curvature Mr for hypersurfaces in R n+1 which is a generalization of the usual r-th mean curvature Hr. We get integral formulas of Minkowski type for compact hypersurfaces in Rn+1. We give some new characterizations of the Wulff shape by the use of our integral formulas of Minkowski type, in case F = 1 which reduces to some well-known results
We extend a formula for the computation of the shape derivative of an integral cost functional with ...
In this note, we apply the evolution method to present another proof of the anisotropic version of H...
Given a positive function F defined on the unit Euclidean sphere and satisfying a suitable convexity...
Abstract Given a positive function F on S2 which satisfies a convexity condition, we define a functi...
We show that, up to homotheties and translations, the Wulff shape WF is the only compact embedded hy...
International audienceWe show that, up to homotheties and translations, the Wulff shape W F is the o...
Este trabalho consiste em duas partes. Na primeira parte, estudaremos hipersuperfÃcies compactas sem...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....
AbstractUsing results from integral geometry, we find inequalities involving mean curvature integral...
Abstract. Using results from integral geometry, we find inequalities involving mean curvature integr...
Given a smooth positive function $F\in C^{\infty}(\mathbb{S}^n)$ such that the square of its positiv...
International audienceWe prove that a closed convex hypersurface of a Euclidean space with almost co...
We prove that a closed convex hypersurface of the Euclidean space with almost constant anisotropic f...
International audienceWe prove that a closed convex hypersurface of a Euclidean space with almost co...
We extend a formula for the computation of the shape derivative of an integral cost functional with ...
We extend a formula for the computation of the shape derivative of an integral cost functional with ...
In this note, we apply the evolution method to present another proof of the anisotropic version of H...
Given a positive function F defined on the unit Euclidean sphere and satisfying a suitable convexity...
Abstract Given a positive function F on S2 which satisfies a convexity condition, we define a functi...
We show that, up to homotheties and translations, the Wulff shape WF is the only compact embedded hy...
International audienceWe show that, up to homotheties and translations, the Wulff shape W F is the o...
Este trabalho consiste em duas partes. Na primeira parte, estudaremos hipersuperfÃcies compactas sem...
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface....
AbstractUsing results from integral geometry, we find inequalities involving mean curvature integral...
Abstract. Using results from integral geometry, we find inequalities involving mean curvature integr...
Given a smooth positive function $F\in C^{\infty}(\mathbb{S}^n)$ such that the square of its positiv...
International audienceWe prove that a closed convex hypersurface of a Euclidean space with almost co...
We prove that a closed convex hypersurface of the Euclidean space with almost constant anisotropic f...
International audienceWe prove that a closed convex hypersurface of a Euclidean space with almost co...
We extend a formula for the computation of the shape derivative of an integral cost functional with ...
We extend a formula for the computation of the shape derivative of an integral cost functional with ...
In this note, we apply the evolution method to present another proof of the anisotropic version of H...
Given a positive function F defined on the unit Euclidean sphere and satisfying a suitable convexity...