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. © Allerton Press, Inc., 2015
The class of nonlocal operators corresponding to shifts along orbits under the action of a compact L...
This monograph is devoted to the following interrelated problems: the solvability and smoothness of ...
Let G be a noncompact connected Lie group, denote with ρ a right Haar measure and choose a family of...
We consider Sobolev problems with nonlocal boundary conditions associated with an action of a compac...
For a Sobolev problem associated with a compact Lie group, we prove a theorem on the Fredholm proper...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
This paper considers the index problem for nonlocal elliptic operators associated with actions of di...
Unbounded operators corresponding to nonlocal elliptic problems on a bounded region G ⊂ ℝ 2 are cons...
We consider a class of nonlocal operators associated with an action of a compact Lie group G on a sm...
We consider Sobolev problems (problems for an elliptic operator on a closed manifold with conditions...
Abstract. This monograph is devoted to the following interrelated problems: the solvability and smoo...
Abstract. We study elliptic equations of order 2m with nonlocal boundary-value condi-tions in plane ...
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth m...
Let G be a connected nilpotent Lie group with a continuous local action on a real surface M, which m...
Let G be a noncompact connected Lie group, denote with \u3c1 a right Haar measure and choose a famil...
The class of nonlocal operators corresponding to shifts along orbits under the action of a compact L...
This monograph is devoted to the following interrelated problems: the solvability and smoothness of ...
Let G be a noncompact connected Lie group, denote with ρ a right Haar measure and choose a family of...
We consider Sobolev problems with nonlocal boundary conditions associated with an action of a compac...
For a Sobolev problem associated with a compact Lie group, we prove a theorem on the Fredholm proper...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
This paper considers the index problem for nonlocal elliptic operators associated with actions of di...
Unbounded operators corresponding to nonlocal elliptic problems on a bounded region G ⊂ ℝ 2 are cons...
We consider a class of nonlocal operators associated with an action of a compact Lie group G on a sm...
We consider Sobolev problems (problems for an elliptic operator on a closed manifold with conditions...
Abstract. This monograph is devoted to the following interrelated problems: the solvability and smoo...
Abstract. We study elliptic equations of order 2m with nonlocal boundary-value condi-tions in plane ...
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth m...
Let G be a connected nilpotent Lie group with a continuous local action on a real surface M, which m...
Let G be a noncompact connected Lie group, denote with \u3c1 a right Haar measure and choose a famil...
The class of nonlocal operators corresponding to shifts along orbits under the action of a compact L...
This monograph is devoted to the following interrelated problems: the solvability and smoothness of ...
Let G be a noncompact connected Lie group, denote with ρ a right Haar measure and choose a family of...