Abstract: | In this paper we consider elliptic equations of order 2m in a bounded domainQ є R
n
with boundaryδQ and nonlocal conditions relating the traces of the solution and its derivatives on (n − 1)-dimensional smooth manifolds Γ
i
(∪
i
=∂δQ) to their values on some compact setF ⊂Q, whereF ∩δQ ≠ Φ. The Fredholm solvability of these problems in the weight spacesV
p, a
/l+2m
(Q) is proved for arbitrary 1<p <∞.
Translated fromMatematicheskie Zametki, Vol. 67, No. 6, pp. 882–898, June, 2000.
This research was supported by the Russian Foundation for Basic Research under grant No. 99-01-00028. |