Dirichlet problem associated with a random quasilinear operator in a random domain

His analyze is made by solving the Poisson – Nernst – Planck equation subject to boundary conditions appropriate (Dirichlet – Robin conditions) for an electrolytic cell ([4])..

The latter pdf is used in turn to express the related density of a random walk of two steps whose step length is distributed according to an asymmetric beta distribution which

The main purpose of this work is to study and give optimal estimates for the Dirichlet problem for the biharmonic operator A 2 on an arbitrary bounded Lipschitz domain D in R\ with

We compute the whole spectrum of the Dirichlet-to-Neumann operator acting on differen- tial p-forms on the unit Euclidean ball.. The Dirichlet-to-Neumann operator on

In Section 3, we focus on the stationary case and establish strong connections between asymptotic properties of C(0) and properties of the max-stable random field η such as

Dans cet article, nous présentons les Keywords: Random walk in random environment, Dirichlet distribution, Reinforced random walks, invariant measure viewed from the

Some considerable difficulties arise at key turning points of our work, due to the nature of the system of nonlinear equations that we are dealing with, in particular in the

Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients.. Annales