Geodesic
Solvability of Nonlocal Elliptic Problems in Dihedral Angles
Matematičeskie zametki, Tome 72 (2002) no. 2, pp. 178-197

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In this paper, we consider nonlocal elliptic problems in dihedral and plane angles. Such problems arise in the study of nonlocal problems in bounded domains for the case in which the support of nonlocal terms intersects the boundary. We study the Fredholm and unique solvability of this problem in the corresponding weighted spaces. Results are obtained by means of a priori estimates of the solutions and of Green's formula for nonlocal elliptic problems. 
@article{MZM_2002_72_2_a2,
     author = {P. L. Gurevich},
     title = {Solvability of {Nonlocal} {Elliptic} {Problems} in {Dihedral} {Angles}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {178--197},
     publisher = {mathdoc},
     volume = {72},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_2_a2/}
}
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P. L. Gurevich. Solvability of Nonlocal Elliptic Problems in Dihedral Angles. Matematičeskie zametki, Tome 72 (2002) no. 2, pp. 178-197. http://geodesic.mathdoc.fr/item/MZM_2002_72_2_a2/