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Perturbation Method for a Non-convex Integral Functional

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Abstract

We consider the problem of minimization of an integral functional over Lipschitzian curves. In order to ensure the existence of a minimum for some perturbed function, a novel variational principle is developed.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Sofia University, 5, J. Bourchier blvd., 1164, Sofia, Bulgaria

    M. Ivanov & N. Zlateva

Authors
  1. M. Ivanov
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  2. N. Zlateva
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Corresponding author

Correspondence to M. Ivanov.

Additional information

Supported by Bulgarian National Fund for Scientific Research, contract DO 02–360/2008.

M. Ivanov was supported by Sofia University Science Fund, contract 133/2012.

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Ivanov, M., Zlateva, N. Perturbation Method for a Non-convex Integral Functional. J Optim Theory Appl 157, 737–748 (2013). https://doi.org/10.1007/s10957-012-0196-1

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  • DOI: https://doi.org/10.1007/s10957-012-0196-1

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