Regularity of solutions to higher-order integrals of the calculus of variations
نویسندگان
چکیده
We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our main regularity result asserts that autonomous integral functionals with a Lagrangian having coercive partial derivatives with respect to the higher-order derivatives admit only minimizers with essentially bounded derivatives.
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عنوان ژورنال:
- Int. J. Systems Science
دوره 39 شماره
صفحات -
تاریخ انتشار 2008