Title | Solutions of vectorial Hamilton-Jacobi equations and minimizers of nonquasiconvex functionals |
Publication Type | Journal Article |
Year of Publication | 2007 |
Authors | Zagatti, S |
Journal | J. Math. Anal. Appl. 335 (2007) 1143-1160 |
Abstract | 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. |
URL | http://hdl.handle.net/1963/2763 |
DOI | 10.1016/j.jmaa.2007.02.034 |
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