D. Massart

activity

20012021

most citedSubsolutions of time-periodic Hamilton-Jacobi equations

20 citations · 58 across the 18 of their papers we have counts for

collaborators

Showing 2006Show all

2 papers · 1 filter

math.DS2006

Vertices of Mather's Beta function, II

Daniel Massart

If the $β$ -function of a time-periodic Lagrangian on a manifold $M$ has a vertex at a $k$ -irrational homology class $h$ , then $2 k \leq dim M$ . Furthermore if $dim M = 2$ $h$ is ra…

math.DS2006★ 20 cited

Subsolutions of time-periodic Hamilton-Jacobi equations

Daniel Massart

We prove the existence of $C^{1}$ critical subsolutions of the Hamilton-Jacobi equation for a time-periodic Hamiltonian system. We draw a consequence for the Minimal Action functio…