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On the conditional extremum of functionals with discontinuous gradients

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Abstract

We establish the existence condition for points of conditional extremum for functionals in an arbitrary real Banach space, having discontinuous Gâteaux gradients. We point out an application to the eigenfunction problem for nonlinear elliptic operators.

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Authors and Affiliations

  1. Donetsk Polytechnic Institute, USSR

    S. G. Suvorov

Authors
  1. S. G. Suvorov
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Additional information

Translated from Matematicheskie Zametki, Vol. 20, No. 4, pp. 581–588, October, 1976.

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Suvorov, S.G. On the conditional extremum of functionals with discontinuous gradients. Mathematical Notes of the Academy of Sciences of the USSR 20, 882–886 (1976). https://doi.org/10.1007/BF01098907

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  • DOI: https://doi.org/10.1007/BF01098907

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