De l’équation sur une surface de Riemann fermée
Différentiabilité stochastique des fonctions finement harmoniques.
Dimension of the harmonic measure of non-homogeneous Cantor sets
We prove that the dimension of the harmonic measure of the complementary of a translation-invariant type of Cantor sets is a continuous function of the parameters determining these sets. This results extends a previous one of the author and do not use ergotic theoretic tools, not applicables to our case.
Dirchlet's problem on Green lines and some convergence theorems for Denjoy's domains.
Dirichlet Finite Biharmonic Functions with Dirichlet Finite Laplacians.
Dirichlet problems for distribution boundary values
Dirichlet problems for the biharmonic equation.
Dirichlet's Principle, Uniqueness of Harmonic Maps and Extremal QC Mappings
Discrete groups and thin sets.
Distribution function inequalities for the density of the area integral
We prove good- inequalities for the area integral, the nontangential maximal function, and the maximal density of the area integral. This answers a question raised by R. F. Gundy. We also prove a Kesten type law of the iterated logarithm for harmonic functions. Our Theorems 1 and 2 are for Lipschitz domains. However, all our results are new even in the case of .
Distribution of primes and a weighted energy problem.
Double layer potential representation of the solution of the Dirichlet problem (Preliminary communication)
Duality in the obstacle and unilateral problem for the biharmonic operator
The paper presents a problem of duality for the obstacle and unilateral biharmonic problem (the equilibrium of a thin plate with an obstacle inside the domain or on the boundary). The dual variational inequality is derived by introducing polar functions.