Classical and Modern Potential Theory and Applications -

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Résumé :
Nonlinear PDE and the Wiener Test.- k-Superharmonic Functions and L.Kelvin's Theorem.- On the Invariance of the Solutions of the Weinstein Equation under M?bius Transformations.- Radial Limiting Behaviour of Harmonic and Superharmonic Functions.- Multiparameter Processes associated with Ornstein-Uhlenbeck Semi-groups.- On the Problem of Hypoellipticity on the Infinite Dimensional Torus.- L'?quation de Monge-Amp?re dans un espace de Banach.- Excessive Functions and Excessive Measures. Hunt's Theorem on Balayages, Quasi-continuity.- The Wiener Test for Poincar?-Dirichlet Forms.- The Best Approach for Boundary Limits.- Fine Behaviour of Balayages in Potential Theory.- Some Results about Sequential Integration on Wiener Space.- Schwarz Lemma type Inequalities for Harmonic Functions in the Ball.- Duality of H-Cones.- R?gularit? et Int?grabilit? des Fonctionnelles de Wiener.- Poincar? Inequalities in L1-norm for the Sphere and a Strong Isoperimetric Inequality in R1.- Uniform and Tangential Harmonic Approximation.- Inversion and Reflecting Brownian Moti.- ?-Potentials.- Fatou-Doob Limits and the Best Filters.- Gaussian Upper Bounds for the Heat Kernel and its Derivatives on a Riemannian Manifold.- Integrals of Analytic Functions along 2 Curves.- On the Restricted Mean Value Property for Measurable Functions.- A Constructive Method for Univalent Logharmonic Mappings.- Choquet Type Integral Representation of Polyexcessive Functions.- Refining the Local Uniform Convergence Topology.- Daily Rheological Phenomena.- Convergence Property and Superharmonic Functions on Balayage Spaces.- Mean Value Property of Harmonic Functions.- Farrell and Mergelyan Sets for the Space of Bounded Harmonic Functions.- M?thodes Analytiques en Dimension Infinie.- Construction d'unProcessus ? deux Parametres ? partir d'un Semi-groupe ? un Param?tre.- Capacities and Harmonic Measures for Uniformly Elliptic Operators of non-Divergence Form.- Problems....

Sommaire:
Nonlinear PDE and the Wiener Test.- k-Superharmonic Functions and L.Kelvin's Theorem.- On the Invariance of the Solutions of the Weinstein Equation under M?bius Transformations.- Radial Limiting Behaviour of Harmonic and Superharmonic Functions.- Multiparameter Processes associated with Ornstein-Uhlenbeck Semi-groups.- On the Problem of Hypoellipticity on the Infinite Dimensional Torus.- L'?quation de Monge-Amp?re dans un espace de Banach.- Excessive Functions and Excessive Measures. Hunt's Theorem on Balayages, Quasi-continuity.- The Wiener Test for Poincar?-Dirichlet Forms.- The Best Approach for Boundary Limits.- Fine Behaviour of Balayages in Potential Theory.- Some Results about Sequential Integration on Wiener Space.- Schwarz Lemma type Inequalities for Harmonic Functions in the Ball.- Duality of H-Cones.- R?gularit? et Int?grabilit? des Fonctionnelles de Wiener.- Poincar? Inequalities in L1-norm for the Sphere and a Strong Isoperimetric Inequality in R1.- Uniform and Tangential Harmonic Approximation.- Inversion and Reflecting Brownian Moti.- ?-Potentials.- Fatou-Doob Limits and the Best Filters.- Gaussian Upper Bounds for the Heat Kernel and its Derivatives on a Riemannian Manifold.- Integrals of Analytic Functions along 2 Curves.- On the Restricted Mean Value Property for Measurable Functions.- A Constructive Method for Univalent Logharmonic Mappings.- Choquet Type Integral Representation of Polyexcessive Functions.- Refining the Local Uniform Convergence Topology.- Daily Rheological Phenomena.- Convergence Property and Superharmonic Functions on Balayage Spaces.- Mean Value Property of Harmonic Functions.- Farrell and Mergelyan Sets for the Space of Bounded Harmonic Functions.- M?thodes Analytiques en Dimension Infinie.- Construction d'unProcessus ? deux Parametres ? partir d'un Semi-groupe ? un Param?tre.- Capacities and Harmonic Measures for Uniformly Elliptic Operators of non-Divergence Form.- Problems.