Calculus of Variations and Geometric Measure Theory
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G. Bellettini - B. Dacorogna - G. Fusco - F. Leonetti

Qualitative properties of Lipschitz solutions of eikonal type systems

created by belletti on 06 Dec 2005
modified on 13 Dec 2006


Accepted Paper

Inserted: 6 dec 2005
Last Updated: 13 dec 2006

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


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.

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