Abstract
In this paper we discuss the existence of solutions to vectorial differential inclusions, refining a result proved in Dacorogna and Marcellini [1996, Théorèmes d'existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi, C. R. Acad. Sci. Paris Sér. I Math., 322(3):237--240]. We investigate sufficient conditions for existence, more flexible than those available in the literature, so that important applications can be fitted in the theory. We also study some of these applications.
| Original language | Unknown |
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| Pages (from-to) | 929-967 |
| Journal | Houston Journal Of Mathematics |
| Volume | 39 |
| Issue number | 3 |
| Publication status | Published - 1 Jan 2013 |