Gilles Carron

collaborators

2 papers

math.DG2024

Type problem, the first eigenvalue and Hardy inequalities

Gilles Carron, Bo-Yong Chen, Yuanpu Xiong

In this paper, we study the relationship between the type problem and the asymptotic behaviour of the first (Dirichlet) eigenvalues $λ_{1} (B_{r})$ of ``balls'' $B_{r} := {ρ < r}$ on a comp…

math.AP2004

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends

Gilles Carron, Thierry Coulhon, Andrew Hassell

Let $M$ be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some $R > 0$ , each of which carries…

Type problem, the first eigenvalue and Hardy inequalities

Riesz transform and Lp cohomology for manifolds with Euclidean ends

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends