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arXiv · 0707.2816

Regularity of solutions to higher-order integrals of the calculus of variations

Moulay Rchid Sidi Ammi·Delfim F. M. Torres
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Abstract

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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Moulay Rchid Sidi Ammi, Delfim F. M. Torres. 2007-07-18. Regularity of solutions to higher-order integrals of the calculus of variations. https://doi.org/10.1080/00207720802184733

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