Announcements of new results
Applications harmoniques stables
Applications polynomiales et applications entières dans les espaces vectoriels topologiques
Approach regions for trees and the unit disc.
Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques
Dans le cadre de l’axiomatique de M. Brelot, et en utilisant la théorie des fonctions harmoniques adjointes de Madame R.M. Hervé, on caractérise la propriété de quasi-analycité notée : toute fonction harmonique adjointe dans un domaine est nulle dès qu’elle est nulle au voisinage d’un point. On montre que est équivalente à une propriété d’approximation de toute fonction réelle finie continue sur les frontières d’ouverts relativement compacts. Cette approximation est réalisée à l’aide de différences...
Approximation of arbitrary Dirichlet processes by Markov chains
Approximations by regular sets and Wiener solutions in metric spaces
Let be a complete metric space equipped with a doubling Borel measure supporting a weak Poincaré inequality. We show that open subsets of can be approximated by regular sets. This has applications in nonlinear potential theory on metric spaces. In particular it makes it possible to define Wiener solutions of the Dirichlet problem for -harmonic functions and to show that they coincide with three other notions of generalized solutions.
Arithmetic capacities on IP N.
Associated families of pluriharmonic maps and isotropy.
Asymptotic behavior for a class of modified -potentials in a half space.
Asymptotic behavior of Fourier-Laplace transform
Asymptotic Behavior of Fundamental Solutions and Potential Theory of Prabolic Operators with Variable Coeeficients.
Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
Asymptotic paths for subsolutions of quasilinear elliptic equations.
Asymptotics for some Green Kernels on the Heisenberg Group and the Martin Boundary.
Base and essential base in parabolic potential theory
Behaviour at the boundary of the complex Monge-Ampère equation
Besov capacity and Hausdorff measures in metric measure spaces.
Biharmonic Green domains in a Riemannian manifold
Let be a Riemannian manifold without a biharmonic Green function defined on it and a domain in . A necessary and sufficient condition is given for the existence of a biharmonic Green function on .
Biharmonic morphisms
Let and be two strong biharmonic spaces in the sense of Smyrnelis whose associated harmonic spaces are Brelot spaces. A biharmonic morphism from to is a continuous map from to which preserves the biharmonic structures of and . In the present work we study this notion and characterize in some cases the biharmonic morphisms between and in terms of harmonic morphisms between the harmonic spaces associated with and and the coupling kernels of them.