An Analogue of the Schwarz Problem for the Moisil–Teodorescu System

Autor: Alexandr P. Soldatov, Viktor A. Polunin
Rok vydání: 2017
Předmět:
Zdroj: Springer Proceedings in Mathematics & Statistics ISBN: 9783319670522
DOI: 10.1007/978-3-319-67053-9_15
Popis: An analogue of the Schwarz problem for the Moisil–Teodorescu system is considered in a domain D. It is shown that this problem has Fredholm property in the Hoelder class \(C^\mu (\overline{D})\). If the domain D is homeomorphic to a ball, then the problem is investigated in detail. In particular its index is equal to \(-1\) in this case.
Databáze: OpenAIRE