Landau-Bloch theorems for bounded biharmonic mappings

DOI10.2298/FIL1914593AzbMath1499.30040OpenAlexW3006899501MaRDI QIDQ5863978

Ali Mohammadian, Rasoul Aghalary, Jay M. Jahangiri

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1914593a

zbMATH Keywords

biharmonic mappingsLandau-Bloch theorems

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (3)

Estimate on the Bloch constant for certain harmonic mappings under a differential operator ⋮ Landau-type theorems and bi-Lipschitz theorems for bounded biharmonic mappings ⋮ Ground state solution of critical \(p\)-biharmonic equation involving Hardy potential

Cites Work

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• Landau and Bloch theorems for harmonic mappings
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Landau's theorem for planar harmonic mappings
• Landau's theorem for planar harmonic mappings
• Estimates on Bloch constants for planar harmonic mappings

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