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On Sobolev problems associated with actions of lie groups

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Abstract

We consider Sobolev problems with nonlocal boundary conditions associated with an action of a compact Lie group. We find a natural conditions of ellipticity of such problems, obtain the corresponding finiteness theorem, and give the index formula.

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References

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russia

    D. A. Loshchenova

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  1. D. A. Loshchenova
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Correspondence to D. A. Loshchenova.

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Original Russian Text © D.A. Loshchenova, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 9, pp. 69–73.

Submitted by V.G. Zvyagin

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Loshchenova, D.A. On Sobolev problems associated with actions of lie groups. Russ Math. 59, 57–61 (2015). https://doi.org/10.3103/S1066369X1509008X

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  • DOI: https://doi.org/10.3103/S1066369X1509008X

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