Asymptotics of solutions for nonlocal elliptic problems in plane bounded domains

摘要

The paper is devoted to the study of asymptotic behavior of solutions fornonlocal elliptic problems in weighted spaces. We deal with the most difficultcase where the support of nonlocal terms intersects with the boundary of aplane bounded domain. In this situation, a general form of the asymptotics isinvestigated and coefficients in the asymptotics are calculated.