Sur les ensembles pluripolaires complets
Sur les fonctions propres positives des variétés de Cartan-Hadamard.
Sur les résultats de Feyel concernant les épaisseurs
Sur l'harmonicité des fonctions séparément harmoniques
Sur une question de H. Brezis, M. Marcus et A. C. Ponce
Surfaces of minimum capacity for a knot
Symmetric reflected diffusions
Symmetry and Overdetermined Boundary Value Problems.
Systèmes doublement orthogonaux de fonctions holomorphes et applications
0. Introduction. Nous donnons ici une étude systématique des systèmes doublement orthogonaux "de Bergman" et leurs applications à certains aspects de l'analyse pluricomplexe: espaces de fonctions holomorphes, fonctions séparément analytiques. C'est en quelque sorte un article de synthèse. On y trouve cependant des démonstrations détaillées qui n'ont paru nulle part ailleurs.
Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces.
The Bergman projection on harmonic functions
The Bloch Space of M-Harmonic Functions on Bounded Symmetric Domains.
The boundary Harnack principle for the fractional Laplacian
We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.
The boundary value problem for Dirac-harmonic maps
Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian manifold. We...
The Bremermann-Dirichlet problem for -plurisubharmonic functions
The complex Monge-Ampère operator in hyperconvex domains
The Definition of Energy in Non-Symmetric Translation Invariant Dirichlet Spaces.
The Dirchlet Problem for a Complex Monge-Ampère Equation.
The Dirichlet space: a survey.
The Fekete-Szegő theorem with splitting conditions: Part I