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We consider Sobolev problems with nonlocal boundary conditions associated with an action of a

of discrete groups. The situation in which the action is isometric was considered in the general case (even

Abstract Given an isometric action of a discrete group $$\Gamma$$ on a compact manifold $$M

Given an isometric action of a discrete group $\Gamma$ on a compact manifold $M$ with boundary

associated with group actions on smooth manifolds. Namely, we consider the case in which the group action

For a Sobolev problem associated with a compact Lie group, we prove a theorem on the Fredholm

conducted in various universities in Moscow (Russia) where there are groups of students that hold different

these actions that is based on the gauge model for the inhomogeneous rotation group. The exact solution

with respect to the action of the group H. We get the structure of the restriction of the algebra C0(M

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