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Schwarz–Pick and Landau Type Theorems for Solutions to the Dirichlet–Neumann Problem in the Unit Disk
, Li P., Luo Q.
Published in Springer Nature
2021
Abstract
The aim of this paper is to establish some properties of solutions to the Dirichlet–Neumann problem: (∂z∂z¯)2w=g in the unit disc D, w= γ and ∂ν∂z∂z¯w= γ on T (the unit circle), 12πi∫Twζζ¯(ζ)dζζ=c, where ∂ν denotes differentiation in the outward normal direction. More precisely, we obtain Schwarz–Pick type inequalities and Landau type theorem for solutions to the Dirichlet–Neumann problem. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
About the journal
JournalData powered by TypesetComputational Methods and Function Theory
PublisherData powered by TypesetSpringer Nature
Open AccessNo