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An analogue of the wiener criterion for the zaremba problem in a cylindrical domain

✍ Scribed by T. M. Kerimov; V. G. Maz'ya; A. A. Novruzov

Publisher
Springer US
Year
1983
Tongue
English
Weight
190 KB
Volume
16
Category
Article
ISSN
0016-2663

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✍ Ugur G. Abdulla πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 238 KB

This paper establishes a necessary and sufficient condition for the existence of a unique bounded solution to the classical Dirichlet problem in arbitrary open subset of R N (N β‰₯ 3) with a non-compact boundary. The criterion is the exact analogue of Wiener's test for the boundary regularity of harmo