Mean field games systems of first order

We study the deformed Hermitian-Yang-Mills (dHYM) equa- tion, which is mirror to the special Lagrangian equation, from the vari- ational point of view via an infinite dimensional

Relaxed formulation for the Steklov eigenvalues: existence of optimal shapes In this section we extend the notion of the Steklov eigenvalues to arbitrary sets of finite perime- ter,

Si l'on veut retrouver le domaine de l'énonciation, il faut changer de perspective: non écarter l'énoncé, évidemment, le "ce qui est dit" de la philosophie du langage, mais

We consider the variational approach to prove the existence of solutions of second order stationary Mean Field Games on a bounded domain Ω ⊆ R d , with Neumann boundary conditions,

We establish the existence of a weak solution of the system via a vanishing viscosity method and, mainly, we prove that the evolution of the population’s density is the push-forward

More precisely, we prove existence and uniqueness of the solution for this problem in two different settings: the case with degenerated enthalpy function and a fixed vectorial

sult on the existence and uniqueness of the solution processes in Mc- Shane’s stochastic integral equation systems of the type (1), in order. to consider and to

After the study of the monodomain approximation of the equations and a thorough stability and regularity analysis of weak solutions for the full bidomain equations, as contained in