Hardy inequalities in strips on ruled surfaces.
Harmonic analysis of the de Rham complex on the sphere.
Harmonic analysis on fractal spaces
Harmonic and quasi-harmonic spheres, part III. Rectifiablity of the parabolic defect measure and generalized varifold flows
Harmonic diffeomorphisms and Teichmüller theory.
Harmonic Differential Operators.
Harmonic Functions of Polynomial Growth on Certain Complete Manifolds.
Harmonic functions on loop groups
Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space . We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution. In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball . We then study the Hardy spaces , 0
Harmonic map Heat Flow for axially symmetric Data.
Harmonic Mappings and Minimal Submanifolds.
Harmonic mappings into manifolds with boundary
Harmonic maps between unbounded convex polyhedra in hyperbolic spaces.
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields
Harmonic symplectic spinors on Riemann surfaces.
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations
Harnack inequalities on a manifold with positive or negative Ricci curvature.
Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.
Harnack inequality for the Schrödinger problem relative to strongly local Riemannian -homogeneous forms with a potential in the Kato class.
Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions.
Heat content asymptotics for operators to Laplace type with Neumann boundary conditions.