More on modified quaternionic analysis in R3.
On determining a riemannian manifold from the Dirichlet-to-Neumann map
On global Sobolev inequalities.
On the asymptotic behavior of Dirichlet problems in a riemannian manifold less small random holes
On the Construction of Harmonie and Holomorphic Maps Between Surfaces.
On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature.
On the Neumann Problem for the Nonlinear Parabolic Equation of Eells-Sampson and Harmonie Mappings.
On the rank of harmonic maps.
-Capacity and -Hyperbolicity of Submanifolds.
p-harmonic functions on graphs and manifolds.
Plateau-Stein manifolds
We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.
Poisson kernel and Green function of balls for complex hyperbolic Brownian motion
The aim of this paper is to give a description of the Poisson kernel and the Green function of balls in the complex hyperbolic space. The description is in terms of the hypergeometric function and unitary spherical harmonics in ℂⁿ.
Polynomial growth harmonic functions on complete Riemannian manifolds.
In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic functions with fixed degree on a complete Riemannian manifold, under various assumptions.
Prescribing harmonic measure on convex domains.
Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral
Riesz potentials and amalgams
Let be a metric space, equipped with a Borel measure satisfying suitable compatibility conditions. An amalgam is a space which looks locally like but globally like . We consider the case where the measure of the ball with centre and radius behaves like a polynomial in , and consider the mapping properties between amalgams of kernel operators where the kernel behaves like when and like when . As an application, we describe Hardy–Littlewood–Sobolev type regularity theorems...
Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds.
Riesz-Martin representation for positive super-polyharmonic functions in a Riemannian manifold.
Rigidity of Certain Harmonic Mappings.
Rough isometries and p-harmonic functions with finite Dirichlet integral.