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Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 9, Pages 69–73 (Mi ivm9037)  

Brief communications

On Sobolev problems associated with actions of Lie groups

D. A. Loshchenova

Chair of Applied Mathematics, Peoples' Friendship University of Russia, 6 Miklukho-Maklaya str., Moscow, 117198 Russia

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

Keywords: elliptic operators, Sobolev problems, fixed points of Lie group action, operators concentrated in a point.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:9, 57–61

UDC: 517.9
Presented by the member of Editorial Board: В. Г. Звягин
Received: 13.01.2015

Citation: D. A. Loshchenova, “On Sobolev problems associated with actions of Lie groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 9, 69–73; Russian Math. (Iz. VUZ), 59:9 (2015), 57–61

Citation in format AMSBIB
\Bibitem{Los15}
\by D.~A.~Loshchenova
\paper On Sobolev problems associated with actions of Lie groups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 9
\pages 69--73
\mathnet{http://mi.mathnet.ru/ivm9037}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 9
\pages 57--61
\crossref{https://doi.org/10.3103/S1066369X1509008X}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84943263298}


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