Young measure minimizers in the asymptotic analysis of thin films

An integral representation for a relaxed functional arising in the membrane theory is obtained in terms of Young measures generated by sequences ${( abla_{alpha}u_{varepsilon_n } ig| frac{1}{varepsilon_n } abla _3 u_{varepsilon_n})} $ of scaled gradients.

Bibliographic Details
Main Author: Marian Bocea
Format: Article
Language:English
Published: Texas State University 2007-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/15/b2/abstr.html