Calculus of Variations and Geometric Measure Theory

V. Chiadò Piat - V. V. Zhikov

Relaxation problems in Sobolev spaces with respect to a measure

created on 16 Jul 2003

[BibTeX]

Preprint

Inserted: 16 jul 2003

Year: 2003

Abstract:

In this paper we prove relaxation formulas for convex functionals and for monotone operators in Sobolev spaces with respect to a measure. The notion of tangent space to a measure is compared with the one introduced by Bouchitté, Buttazzo, Seppecher. Examples are give