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Licensed Unlicensed Requires Authentication Published by De Gruyter January 3, 2013

On the non-occurrence of the Lavrentiev phenomenon

Giovanni Bonfanti and Arrigo Cellina

Abstract.

We show that the Lavrentiev phenomenon does not occur for functionals of the form

where L is an arbitrary convex function, provided that both and u0 are of class C2.

Received: 2011-06-23
Revised: 2012-03-14
Accepted: 2012-04-03
Published Online: 2013-01-03
Published in Print: 2013-01-01

© 2013 by Walter de Gruyter Berlin Boston