This article is cited in 2 papers

Some qualitative properties of solutions of the mixed problem for equations of elliptic type

A. I. Ibragimov


Abstract: The existence and Hölder property in the closure of the domain is proved for the weak and generalized solutions of the Zaremba problem, provided that the domain satisfies a condition of isoperimetric type.
Figures: 2.
Bibliography: 21 titles.

UDC: 517.946

MSC: Primary 35J25; Secondary 35J67, 35B05

Received: 05.02.1982

 English version: Mathematics of the USSR-Sbornik, 1985, 50:1, 163–176

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