The selection problem for a new class of perturbations of Hamilton-Jacobi equations and its applications

Qinbo Chen

This paper studies a perturbation problem given by the equation: \begin{equation*} H(x, d_xu_λ, λu_λ(x))+λV(x,λ)=c \quad \text{in $M$}, \end{equation*} where $M$ is a closed m…