Accepted Paper

Inserted: 6 dec 2005
Last Updated: 13 dec 2006

Journal: Adv. Math. Sci. Appl.
Year: 2005

Abstract:

We study the geometric properties of Lipschitz functions whose gradient takes only a finite number of vectorial values. A typical example is the so-called eikonal system. Functions whose gradient takes only a finite number of values are notably encountered in non convex problems of the calculus of variations and in applications to problems of potential wells type.