S. Zagatti, ON THE DIRICHLET PROBLEM FOR VECTORIAL HAMILTON-JACOBI EQUATIONS, SIAM journal on mathematical analysis (Print), 29(6), 1998, pp. 1481-1491
We give sufficient conditions for the existence of solutions to the Ha
milton-Jacobi equations with Dirichlet boundary condition: [GRAPHICS]
obtaining, in addition, an application to the theory of existence of m
inimizers for a class of nonconvex variational problems.