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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1983 Volume 122(164), Number 3(11), Pages 341–359 (Mi sm2298)

This article is cited in 24 papers

On the question of the uniqueness of the solution of the second boundary value problem for second order elliptic equations

N. S. Nadirashvili


Abstract: A common method is given for investigating.classical solutions of various boundary value problems for second order elliptic equations: the second boundary value problem in domains with nonsmooth boundaries, the second boundary value problem for degenerating elliptic equations, and problems with oblique derivatives. Existence and uniqueness theorems for classical solutions are proved.
Bibliography: 15 titles.

UDC: 517.9

MSC: Primary 35J25; Secondary 35J20, 35J70

Received: 31.08.1982


 English version:
Mathematics of the USSR-Sbornik, 1985, 50:2, 325–341

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© Steklov Math. Inst. of RAS, 2025