Homogenization of problems with gradient constraint problems with respect to periodic measures (Q812314)

Recently \textit{V. V. Zhikov} has introduced a method to deal with homogenization problems in terms of periodic measures [Funct. Anal. Appl. 33, No. 1, 11--24 (1999); translation from Funkts. Anal. Prilozh. 33, No. 1, 14--29 (1999; Zbl 0959.49016), Sb. Math. 191, No.7, 973--1014 (2000); translation from Mat. Sb. 191, No.7, 31--72 (2000; Zbl 0969.35048)]. The authors apply the methods to the asymptotic behavior of minimization problems, satisfying a \(p\)-growth condition, \(p>1\), with respect to periodic measures and with gradient constraints for admissible functions on a periodic disperse set.