The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations

DOI10.1007/s11785-019-00911-4zbMath1421.35054arXiv1708.03924OpenAlexW2962889168WikidataQ124815395 ScholiaQ124815395MaRDI QIDQ2313067

David Kalaj, Shao Lin Chen

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03924

zbMATH Keywords

Schwarz lemmaPoisson equationLanday-type theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (12)

Schwarz-Pick and Landau type theorems for solutions to the Dirichlet-Neumann problem in the unit disk ⋮ On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality ⋮ ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY ⋮ Some inequalities for self-mappings of unit ball satisfying the invariant Laplacians ⋮ Schwarz type lemmas for generalized harmonic functions ⋮ A generalized Schwarz-Pick inequality for quasiconformal mappings satisfying Poisson's equation ⋮ 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 ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation ⋮ Schwarz lemmas for mappings satisfying Poisson's equation

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