16 citations · 39 across the 10 of their papers we have counts for
11 papers
Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
We consider asymptotic behavior of solutions to the oblique-Dirichlet mixed boundary conditions without the strict monotonicity of the equation in the variable corresponding to the…
On Hamilton Jacobi equations with time measurable Hamiltonians posed on a 1-dimensional junction
Ariela Briani
In this paper, we study evolutive Hamilton Jacobi equations with Hamiltonians that are discontinuous in time, posed on a simple network consisting of two edges on the real line con…
Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new t…
Test function approach to fully nonlinear equations in thin domains
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
In this note we extend to fully nonlinear operators the well known result on thin domains of Hale and Raugel. The result is more general even in the case of the Laplacian.
Stable solutions in potential mean field game systems
Ariela Briani, Pierre Cardaliaguet
We introduce the notion of stable solution in mean field game theory: they are locally isolated solutions of the mean field game system. We prove that such solutions exist in poten…
Flux-limited and classical viscosity solutions for regional control problems
Guy Barles, Ariela Briani, Emmanuel Chasseigne +1
The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions,…
Value function for regional control problems via dynamic programming and Pontryagin maximum principle
Guy Barles, Ariela Briani, Emmanuel Trélat
In this paper we focus on regional deterministic optimal control problems, i.e., problems where the dynamics and the cost functional may be different in several regions of the stat…
Homogenization Results for a Deterministic Multi-domains Periodic Control Problem
Guy Barles, Ariela Briani, Emmanuel Chasseigne +1
We consider homogenization problems in the framework of deterministic optimal control when the dynamics and running costs are completely different in two (or more) complementary do…
A Bellman approach for regional optimal control problems in
Guy Barles, Ariela Briani, Emmanuel Chasseigne
This article is a continuation of a previous work where we studied infinite horizon control problems for which the dynamic, running cost and control space may be different in two h…
A Bellman approach for two-domains optimal control problems in
Guy Barles, Ariela Briani, Emmanuel Chasseigne
This article is the starting point of a series of works whose aim is the study of deterministic control problems where the dynamic and the running cost can be completely different…
On the gradient flow of a one-homogeneous functional
Ariela Briani, Antonin Chambolle, Matteo Novaga +1
We consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of a constrained scalar function. We show in this case that the gradient flow is r…