Geodesic
On Sobolev problems associated with actions of Lie groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 69-73.

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {D. A. Loshchenova},
     title = {On {Sobolev} problems associated with actions of {Lie} groups},
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D. A. Loshchenova. On Sobolev problems associated with actions of Lie groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 69-73. http://geodesic.mathdoc.fr/item/IVM_2015_9_a7/

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