Convergence of solutions for some degenerate discounted Hamilton--Jacobi equations

Maxime Zavidovique

We study solutions of Hamilton--Jacobi equations of the form $$\lambda \alpha (x)u_{\lambda }(x)+H(x,D_x{u}_{\lambda })=c,$$ where $\alpha$ is a nonnegative function, $\lambda$ a positive constant, $c$ a constant and…