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Nehari method for the generalized Ginzburg–Landau system

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Abstract

The Dirichlet problem for the generalized Ginzburg–Landau system is considered. The existence of positive vector solutions is proved in the following three cases: (1) the cross term has weak growth; (2) the interaction constant is large enough; and (3) the cross term has strong growth and the interaction constant is positive and close to zero.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 199034, Russia

    S. B. Kolonitskii

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  1. S. B. Kolonitskii
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Correspondence to S. B. Kolonitskii.

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Original Russian Text © S.B. Kolonitskii, 2017, published in Doklady Akademii Nauk, 2017, Vol. 474, No. 1, pp. 11–14.

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Kolonitskii, S.B. Nehari method for the generalized Ginzburg–Landau system. Dokl. Math. 95, 203–206 (2017). https://doi.org/10.1134/S1064562417030024

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  • DOI: https://doi.org/10.1134/S1064562417030024

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