Display Abstract

Title Lavrentiev phenomenon: its non occurrence for some multidimensional scalar problems of the calculus of variations

Name Carlo Mariconda
Country Italy
Email maricond@math.unipd.it
Co-Author(s) Pierre Bousquet, Giulia Treu
Submit Time 2014-02-28 05:38:16
Session
Special Session 16: Optimal control and its applications
Contents
We consider an autonomous integral functional defined in the space of Sobolev functions on an open and bounded set, and that agree with a prescribed Lipschitz function on the boundary of the domain. We show, without assuming growth conditions, that the Lavrentiev gap does not occur for a wide class of Lagrangeans.