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Abstract: We obtain new regularity conditions for problems of calculus of variationswith higher-order derivatives. As a corollary, we get non-occurrence of theLavrentiev phenomenon. Our main regularity result asserts that autonomousintegral functionals with a Lagrangian having coercive partial derivatives withrespect to the higher-order derivatives admit only minimizers with essentiallybounded derivatives.



Author: Moulay Rchid Sidi Ammi, Delfim F. M. Torres

Source: https://arxiv.org/



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