Volume 16, Number 2, April-June 2010
|Page(s)||457 - 471|
|Published online||21 April 2009|
Necessary conditions for weak lower semicontinuity on domains with infinite measure
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890, USA. email@example.com
Revised: 23 December 2008
We derive sharp necessary conditions for weak sequential lower semicontinuity of integral functionals on Sobolev spaces, with an integrand which only depends on the gradient of a scalar field over a domain in . An emphasis is put on domains with infinite measure, and the integrand is allowed to assume the value .
Mathematics Subject Classification: 49J45
Key words: Scalar integral functionals / weak lower semicontinuity / necessary conditions
© EDP Sciences, SMAI, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.