Landau-type theorems for p-harmonic mappings or log-p-harmonic mappings

DOI10.1080/00036811.2014.890711zbMath1303.31001OpenAlexW2056725851WikidataQ58298439 ScholiaQ58298439MaRDI QIDQ2933131

Zhenxing Liu, Ming-Sheng Liu

Publication date: 10 December 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.890711

zbMATH Keywords

\(p\)-harmonic mappingslog-\(p\)-harmonic mappingsLandau-type theorems

Mathematics Subject Classification ID

Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (5)

Precise values of the Bloch constants of certain log-\(p\)-harmonic mappings ⋮ Landau-type theorems of polyharmonic mappings and log-\(p\)-harmonic mappings ⋮ Estimates on Bloch constants for certain \(\log\)-\(p\)-harmonic mappings ⋮ Landau-Bloch type theorems for certain subclasses for polyharmonic mappings ⋮ Normality of the $p$-harmonic and $\log$-$p$-harmonic mappings

Cites Work

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• Bloch constant and Landau's theorem for planar \(p\)-harmonic mappings
• On the univalence of functions with logharmonic Laplacian
• On the univalence of the log-biharmonic mappings.
• Landau's theorem for biharmonic mappings
• On some properties of solutions of the biharmonic equation
• Schwarzian derivative and Landau's theorem for logharmonic mappings
• Landau-type theorems for certain planar harmonic mappings or biharmonic mappings
• Landau's theorems for biharmonic mappings
• Bloch constants for planar harmonic mappings
• Landau and Bloch theorems for harmonic mappings
• Landau's theorem for planar harmonic mappings
• Estimates on Bloch constants for planar harmonic mappings
• Landau's theorem for planar harmonic mappings
• Estimates on Bloch constants for planar harmonic mappings

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