E. Humbert

activity

20032012

most citedThe first eigenvalue of Dirac and Laplace operators on surfaces

4 citations · 6 across the 8 of their papers we have counts for

collaborators

Showing 2007 · math.DGShow all

4 papers · 2 filters

math.DG2007

The geometrical quantity in damped wave equations on a square

Pascal Hébrard, Emmanuel Humbert

The energy in a square membrane $Ω$ subject to constant viscous damping on a subset $ω \subset Ω$ decays exponentially in time as soon as $ω$ satisfies a geometrical condition known…

math.DG2007

Extremal functions for the sharp $L^{2} -$ Nash inequality

Emmanuel Humbert

We give geometrical conditions under which there exist extremal functions for the sharp $L^{2}$ -Nash inequality.

math.DG2007

Un problème de type Yamabe sur les variétés compactes spinorielles compactes

Bernd Ammann, Emmanuel Humbert, Bertrand Morel

Let $(M,g,\si)$ be a compact spin manifold of dimension $n \geq 2$ . Let $λ_{1}^{+} (g ~)$ be the smallest positive eigenvalue of the Dirac operator in the metric $\tilde{g} \in [g…

math.DG2007

The problem of prescribed critical functions

Emmanuel Humbert, Michel Vaugon

Let $(M, g)$ be a compact Riemannian manifold on dimension $n \geq 4$ not conformally diffeomorphic to the sphere $S^{n}$ . We prove that a smooth function $f$ on $M$ is a critical fun…

The geometrical quantity in damped wave equations on a square

Extremal functions for the sharp L2− Nash inequality

Un problème de type Yamabe sur les variétés compactes spinorielles compactes

The problem of prescribed critical functions

Extremal functions for the sharp $L^{2} -$ Nash inequality