Schwarz lemmas for mappings satisfying Poisson's equation

DOI10.1016/j.indag.2019.08.004zbMath1443.31002arXiv1708.00715OpenAlexW2969580776WikidataQ124810151 ScholiaQ124810151MaRDI QIDQ2334361

Saminathan Ponnusamy, Shao Lin Chen

Publication date: 7 November 2019

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00715

zbMATH Keywords

Poisson's equationGaussian hypergeometric functionSchwarz's lemmaLandau's theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) A priori estimates in context of PDEs (35B45) Classical hypergeometric functions, ({}_2F_1) (33C05) Second-order elliptic systems (35J47)

Related Items (6)

Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ 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

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