@article {1998,
title = {On the Dirichlet problem for vectorial Hamilton-Jacobi equations},
journal = {SIAM J. Math. Anal. 29 (1998) 1481-1491},
number = {SISSA;182/96/M},
year = {1998},
publisher = {SIAM},
abstract = {We 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.},
doi = {10.1137/S0036141097321279},
url = {http://hdl.handle.net/1963/3512},
author = {Sandro Zagatti}
}