Dahlberg's theorem in higher co-dimension.

On ´ etudie deux types de probl` emes : un premier est une ´ equation elliptique non d´ eg´ en´ er´ ee dans un domaine born´ e avec des donn´ ees mesures, support´ ees ` a la fois

We show that the random stable lamination can be coded by the continuous-time height function associated to the normalized excursion of a strictly stable spectrally positive

For the first problem, we prove an optimal regularity result, whereas for the second one the optimality is not guaranteed but we provide however regularity estimates.. R ´

ing states in quantum mechanics, Helv.. RUELLE, A remark on bound states in potential scattering theory, Nuovo Cimento,. t. ; Scattering theory in

Rakotoson (Quasilinear elliptic problems with measures as data, Differential Integral Equations.. 4 (1991), 449-457) and by Boccardo and Gallouet (Nonlinear

We also define, for any multi-index a, the operator Da( -L)-lal/2: the Riesz Transform of order a.. associated to the Ornstein-Uhlenbeck

It is satisfied by any simply connected domain and Makarov's proof of Theorem 1 works with minor changes (replace the Riemann map by the universal covering map) on

We construct 2-surfaces of prescribed mean curvature in 3- manifolds carrying asymptotically flat initial data for an isolated gravitating system with rather general decay