Das Picard-Prinzip und verwandte Fragen bei Störung von harmonischen Räumen.
De l’équation sur une surface de Riemann fermée
Decomposition of polyharmonic functions with respect to the complex Dunkl Laplacian.
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Delta-plusharmonic functions.
Densité de l'intégrale d'aire dans Rn+ +1 et limites non tangentielles.
Densité relative de deux potentiels comparables
Densité relative de deux potentiels comparables obtenue sans filtres rapides
Determination of the pluripolar hull of graphs of certain holomorphic functions
Let be a closed polar subset of a domain in . We give a complete description of the pluripolar hull of the graph of a holomorphic function defined on . To achieve this, we prove for pluriharmonic measure certain semi-continuity properties and a localization principle.
Deux généralisation du «théorèm des trois cercles» de Hadamard.
Développements en séries trigonométriques de certaines fonctions périodiques vérifiant l’équation
Développements récents de la théorie du potentiel
Dichotomy of global density of Riesz capacity
Let be the Riesz capacity of order α, 0 < α < n, in ℝⁿ. We consider the Riesz capacity density for a Borel set E ⊂ ℝⁿ, where B(x,r) stands for the open ball with center at x and radius r. In case 0 < α ≤ 2, we show that is either 0 or 1; the first case occurs if and only if is identically zero for all r > 0. Moreover, it is shown that the densities with respect to more general open sets enjoy the same dichotomy. A decay estimate for α-capacitary potentials is also obtained.
Die Existenz einer Greenschen Funktion auf Riemannschen Mannigfaltigkeiten
Die L1-Topologie subharmonischer Metriken: Eine Abschätzung und einige Kompaktheitseigenschaften.
Différentiabilité des fonctions finement harmoniques.
Différentiabilité fine et capacités
Différentiabilité fine et différentiabilité sur des compacts
Différentiabilité stochastique des fonctions finement harmoniques.
Differentiability of excessive functions of one-dimensional diffusions and the principle of smooth fit
The principle of smooth fit is probably the most used tool to find solutions to optimal stopping problems of one-dimensional diffusions. It is important, e.g., in financial mathematical applications to understand in which kind of models and problems smooth fit can fail. In this paper we connect-in case of one-dimensional diffusions-the validity of smooth fit and the differentiability of excessive functions. The basic tool to derive the results is the representation theory of excessive functions;...