The phenomenon of Lavrentiev gap is analyzed by invoking some new techniques. In particular examples of time-invariant second-order integrands, which exhibit such gap, are arranged.
First and Second-Order Integral Functionals of the Calculus of Variations Which Exhibit the Lavrentiev Phenomenon / Andrey Sarychev. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - STAMPA. - 3:(1997), pp. 565-588.
First and Second-Order Integral Functionals of the Calculus of Variations Which Exhibit the Lavrentiev Phenomenon
SARYCHEV, ANDREY
1997
Abstract
The phenomenon of Lavrentiev gap is analyzed by invoking some new techniques. In particular examples of time-invariant second-order integrands, which exhibit such gap, are arranged.
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