Some concepts of regularity for parametric multiple-integral problems in the calculus of variationsReport as inadecuate




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(2009)CZECHOSLOVAK MATHEMATICAL JOURNAL.59(3).p.741-758 Mark abstract We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Caratheodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter (m + 1)-form are holonomic.

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-970886



Author: Michael Crampin and DJ Saunders

Source: https://biblio.ugent.be/publication/970886



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