%0 Journal Article %J J. Math. Anal. Appl. 335 (2007) 1143-1160 %D 2007 %T Solutions of vectorial Hamilton-Jacobi equations and minimizers of nonquasiconvex functionals %A Sandro Zagatti %X We provide a unified approach to prove existence results for the Dirichlet problem for Hamilton-Jacobi equations and for the minimum problem for nonquasiconvex functionals of the Calculus of Variations with affine boundary data. The idea relies on the definition of integro-extremal solutions introduced in the study of nonconvex scalar variational problem. %B J. Math. Anal. Appl. 335 (2007) 1143-1160 %G en_US %U http://hdl.handle.net/1963/2763 %1 1937 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-08-29T11:05:58Z\\nNo. of bitstreams: 1\\nhjcvjmaa2.pdf: 158429 bytes, checksum: 712208cb11d8543ac2f9f5f01956dcfe (MD5) %R 10.1016/j.jmaa.2007.02.034