This article is cited in 1 paper

Solvability of Nonlocal Elliptic Problems in Dihedral Angles

P. L. Gurevich

Moscow Aviation Institute

Abstract: 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.

UDC: 517.956.22

Received: 12.11.2001

DOI: 10.4213/mzm413

 English version: Mathematical Notes, 2002, 72:2, 158–176

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