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On the Extremization of Linear Integrals

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Abstract

By means of a suitable variational inequality, we consider an extremization method for a particular class of integrals with the integrand of the objective functional linear with respect to the derivative of the unknown function. This method is closely related to the one proposed by Miele (Refs. 1–3) and, based on an application of the Green theorem concerning the transformation of line integrals into surface integrals, it can be extended to vector extremum problems under suitable regularity assumptions.

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Authors and Affiliations

  1. Department of Mathematics, University of Pisa, Pisa, Italy

    G. Mastroeni (Researcher)

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  1. G. Mastroeni
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Mastroeni, G. On the Extremization of Linear Integrals. Journal of Optimization Theory and Applications 109, 521–538 (2001). https://doi.org/10.1023/A:1017559504013

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