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Quasiconvex functions and null Lagrangians in the stability problems of classes of mappings

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Abstract

We obtain stability theorems for classes of solutions to the differential equations constructed by means of quasiconvex functions and null Lagrangians.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. A. Egorov

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  1. A. A. Egorov
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Correspondence to A. A. Egorov.

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Original Russian Text Copyright © 2008 Egorov A. A.

The author was supported by the Russian Foundation for Basic Research, the State Maintenance Program for the Young Science Doctors and the Leading Scientific Schools of the Russian Federation, the Interdisciplinary Project of the Siberian Division of the Russian Academy of Sciences (Grant No. 117, 2006), and the Russian Science Support Foundation.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 796–812, July–August, 2008.

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Egorov, A.A. Quasiconvex functions and null Lagrangians in the stability problems of classes of mappings. Sib Math J 49, 637–649 (2008). https://doi.org/10.1007/s11202-008-0060-6

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  • DOI: https://doi.org/10.1007/s11202-008-0060-6

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