Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions

Kaizhi Wang, Lin Wang, Jun Yan

We consider the Hamilton-Jacobi equation \[{H}(x,u,Du)=0,\quad x\in M, \] where $M$ is a connected, closed and smooth Riemannian manifold, $H(x,u,p)$ satisfies Tonelli conditions…