Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk
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Publication:1746278
DOI10.1016/J.JMAA.2017.07.043zbMath1388.31005arXiv1707.06373OpenAlexW2963443119MaRDI QIDQ1746278
Saminathan Ponnusamy, Peijin Li
Publication date: 24 April 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.06373
Related Items (9)
Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk ⋮ Schwarz-Pick and Landau type theorems for solutions to the Dirichlet-Neumann problem in the unit disk ⋮ Generalized harmonic functions and Schwarz lemma for biharmonic mappings ⋮ On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations ⋮ Bi-Lipschitz characteristic of quasiconformal self-mappings of the unit disk satisfying bi-harmonic equation ⋮ On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations ⋮ Schwarz type lemmas and a Landau type theorem of functions satisfying the biharmonic equation ⋮ Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations ⋮ On properties of solutions to the α-harmonic equation
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