The paper deal with closure, lower closure, semicontinuity and existence results for (simple and multiple) integrals of the calclulus of variations. with constraints represented by orientor field equations. A new assmption of seminormality type is introduced which is weaker than analogous previous one. The present paper extends and unifies previous results by the same authors. The present results lead to a significant reduction of the assumptions assumed by Cesari for a relevant class of integrands.
Seminormality conditions in the calculus of variations for BV solutions
BRANDI, Primo;SALVADORI, Anna
1992
Abstract
The paper deal with closure, lower closure, semicontinuity and existence results for (simple and multiple) integrals of the calclulus of variations. with constraints represented by orientor field equations. A new assmption of seminormality type is introduced which is weaker than analogous previous one. The present paper extends and unifies previous results by the same authors. The present results lead to a significant reduction of the assumptions assumed by Cesari for a relevant class of integrands.File in questo prodotto:
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