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On a class of second order variational problems with constraints

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Abstract

We study the structure of optimal solutions for a class of constrained, second order variational problems on bounded intervals. We show that, for intervals of length greater than some positive constant, the optimal solutions are bounded inC 1 by a bound independent of the length of the interval. Furthermore, for sufficiently large intervals, the ‘mass’ and ‘energy’ of optimal solutions are almost uniformly distributed.

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Authors and Affiliations

  1. Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Moshe Marcus & Alexander J. Zaslavski

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  1. Moshe Marcus
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  2. Alexander J. Zaslavski
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Correspondence to Moshe Marcus.

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Marcus, M., Zaslavski, A.J. On a class of second order variational problems with constraints. Isr. J. Math. 111, 1–28 (1999). https://doi.org/10.1007/BF02810675

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  • DOI: https://doi.org/10.1007/BF02810675

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