A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

DOI10.1080/17476933.2020.1730825zbMath1462.30069OpenAlexW3007666365MaRDI QIDQ5856363

A. Okay Çelebi, Ümit Aksoy, Heinrich Begehr

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1730825

zbMATH Keywords

polyanalytic functionBitsadze equationDirichlet and Neumann conditionsplane domainsharmonic Green functionSchwarz boundary value problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (5)

Integral representations in the complex plane and iterated boundary value problems ⋮ A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function ⋮ Schwarz problem in a ring domain* ⋮ The nonlinear boundary value problem for \(k\) holomorphic functions in \(\mathbb{C}^2\) ⋮ Polyanalytic boundary value problems for planar domains with harmonic Green function

Cites Work

• A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem

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