Boundary Schwarz lemma for solutions to Poisson's equation

DOI10.1016/j.jmaa.2018.03.043zbMath1392.31001OpenAlexW2794193873WikidataQ124989113 ScholiaQ124989113MaRDI QIDQ1747054

Jian-Feng Zhu, Xian Tao Wang

Publication date: 3 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.03.043

zbMATH Keywords

Poisson equationquasiconformal mappingboundary Schwarz lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quasiconformal mappings in the complex plane (30C62) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (7)

Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations ⋮ Some inequalities for self-mappings of unit ball satisfying the invariant Laplacians ⋮ Boundary Schwarz lemma for harmonic mappings having zero of order \(p\) ⋮ On some Schwarz type inequalities ⋮ Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations ⋮ BOUNDARY SCHWARZ LEMMA FOR SOLUTIONS TO NONHOMOGENEOUS BIHARMONIC EQUATIONS

Cites Work

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• On quasiconformal self-mappings of the unit disk satisfying Poisson’s equation
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• On Mori's theorem in quasiconformal theory
• A sharp Schwarz inequality on the boundary
• Notions of convexity
• Normal families of holomorphic mappings

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