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. 
@article{IVM_2015_9_a7,
     author = {D. A. Loshchenova},
     title = {On {Sobolev} problems associated with actions of {Lie} groups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {69--73},
     publisher = {mathdoc},
     number = {9},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_9_a7/}
}
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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/