Add to ORKGWe present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation of prescribed horizontal Gauss curvature in a Carnot group
International audienceThis is the content of the lectures given by the author at the winter school K...
We prove the comparison principle for viscosity super- and sub-solutions of degenerate prescribed cu...
We consider viscosity and distributional derivatives of functions in the directions of a family of v...
We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equ...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...
We study fully nonlinear partial differential equations involving the determinant of the Hessian mat...
International audienceWe provide a uniqueness result for a class of viscosity solutions to sub-Riema...
We provide a uniqueness result for a class of viscosity solutions to sub-Riemannian mean curvature f...
Abstract. The main objective of this course is to present an extension of Jensen’s uniqueness theore...
We collect examples of boundary-value problems of Dirichlet and Dirichlet–Neumann type which we foun...
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of...
We prove that viscosity solutions of geometric equations in step two Carnot groups can be equivalent...
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of...
We study the ‘‘generalized’ ’ Dirichlet problem (in the sense of viscosity solutions) for quasilinea...
The validity of the comparison principle in variable coefficient fully nonlinear gradient free poten...
International audienceThis is the content of the lectures given by the author at the winter school K...
We prove the comparison principle for viscosity super- and sub-solutions of degenerate prescribed cu...
We consider viscosity and distributional derivatives of functions in the directions of a family of v...
We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equ...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...
We study fully nonlinear partial differential equations involving the determinant of the Hessian mat...
International audienceWe provide a uniqueness result for a class of viscosity solutions to sub-Riema...
We provide a uniqueness result for a class of viscosity solutions to sub-Riemannian mean curvature f...
Abstract. The main objective of this course is to present an extension of Jensen’s uniqueness theore...
We collect examples of boundary-value problems of Dirichlet and Dirichlet–Neumann type which we foun...
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of...
We prove that viscosity solutions of geometric equations in step two Carnot groups can be equivalent...
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of...
We study the ‘‘generalized’ ’ Dirichlet problem (in the sense of viscosity solutions) for quasilinea...
The validity of the comparison principle in variable coefficient fully nonlinear gradient free poten...
International audienceThis is the content of the lectures given by the author at the winter school K...
We prove the comparison principle for viscosity super- and sub-solutions of degenerate prescribed cu...
We consider viscosity and distributional derivatives of functions in the directions of a family of v...