Boundary Value Problems in Polydomains

  • Ahmet Okay ÇelebiEmail author
Part of the Trends in Mathematics book series (TM)


In this paper we give a short survey of the boundary value problems in polydomains in the last decades. Firstly we develop an alternative method to derive integral representations for functions in \(\mathbb {C}^n\). This unified method provides representations which are suitable to be employed in discussions for all linear boundary value problems. In the rest of the article we have improved some results obtained for Schwarz and Dirichlet type problems.


Polydisc Schwarz problem Riquier problem Complex partial differential equations 

Mathematics Subject Classification (2010)

Primary 32W10 32W50 Secondary 31A10 



The author is grateful to Professor Ümit Aksoy for her valuable comments and supports.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Yeditepe UniversityIstanbulTurkey

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