Convergence/divergence phenomena in the vanishing discount limit of Hamilton-Jacobi equations

Andrea Davini, Panrui Ni, Jun Yan +1

We study the asymptotic behavior of solutions of an equation of the form \begin{equation}\label{abs}\tag{*} G\big(x, D_x u,λu(x)\big) = c_0\qquad\hbox{in $M$} \end{equation} on a c…