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math.AP2017
Divergence-free positive symmetric tensors and fluid dynamics
Denis Serre
We consider tensors that are symmetric, positive semi-definite, and whose row-divergence vanishes identically. We establish sharp inequalities for the integral o…
math.AP2017
The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains
Denis Serre
In a recent paper [7], we were led to consider a distance over a bounded open convex domain. It turns out to be the so-called Thompson metric, which is equivalent to the Hilbert me…