00762nas a2200109   4500008004300000245006900043210006100112260000900173520041400182100002000596856003600616       1998                        en_Ud  00aOn the Dirichlet problem for vectorial Hamilton-Jacobi equations0 aDirichlet problem for vectorial HamiltonJacobi equations  bSIAM3 aWe give sufficient conditions for the existence of solutions to the Hamilton--Jacobi equations with Dirichlet boundary condition: $$ \\\\cases{ g(x,{\\\\hbox{\\\\rm det}}Du(x))=0, \\\\ & for a.e. $x\\\\in\\\\Omega,$\\\\cr u(x)=\\\\varphi(x), & for $x\\\\in\\\\partial\\\\Omega,$} $$ obtaining, in addition, an application to the theory of existence of minimizers for a class of nonconvex variational problems.1 aZagatti, Sandro  uhttp://hdl.handle.net/1963/3512