6 citations · 18 across the 16 of their papers we have counts for
4 papers · 1 filter
Point-assigned distance-like functions on non-compact geodesic spaces
Xiaojun Cui, Liang Jin, Xifeng Su
On a complete, connected, locally compact, non-compact geodesic space , we assign each compact set a distance-like function. With the help of these functions, we obtain a ps…
Herglotz' variational principle and Lax-Oleinik evolution
Piermarco Cannarsa, Wei Cheng, Liang Jin +2
We develop an elementary method to give a Lipschitz estimate for the minimizers in the problem of Herglotz' variational principle proposed in \cite{CCWY2018} in the time-dependent…
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 2: Nonlinear coupling
Hitoshi Ishii, Liang Jin
We study the vanishing discount problem for a nonlinear monotone system of Hamilton-Jacobi equations. This continues the first author's investigation on the vanishing discount prob…
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling
Hitoshi Ishii
We establish a convergence theorem for the vanishing discount problem for a weakly coupled system of Hamilton-Jacobi equations. The crucial step is the introduction of Mather measu…