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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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