Bi-Lipschitz Continuity of Quasiconformal Solutions to a Biharmonic Dirichlet–Neumann Problem in the Unit Disk

Author:

Li Peijin,Ponnusamy SaminathanORCID

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference21 articles.

1. Ahlfors, L.: Lectures on Quasiconformal Mappings, Van Nostrand Mathematical Studies, D. Van Nostrand 1966

2. Arsenović, M., Kojić, V., Mateljević, M.: On Lipschitz continuity of harmonic quasiregular maps on the unit ball in $$\mathbb{R}^{n}$$. Ann. Acad. Sci. Fenn. Math. 33, 315–318 (2008)

3. Begehr, H., Vaitekhovich, T.: Complex partial differential equations in a manner of I. N. Vekua. Lect. Notes TICMI 8, 15–26 (2007)

4. Begehr, H.: Boundary value problem in complex analysis II. Bol. Asoc. Mat. Venezolana 12, 217–250 (2005)

5. Chen, J., Huang, M., Rasila, A., Wang, X.: On Lipschitz continuity of solutions of hyperbolic Poisson’s equation. Calc. Var. Partial Differ. Equ. 57, 13 (2018)

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1. A Schwarz lemma on the boundary for solutions to the Dirichlet-Neumann problem;The Journal of Analysis;2024-08-31

2. Quasiconformal Extensions of Biharmonic Mappings and Strongly Starlike Biharmonic Mappings;Bulletin of the Malaysian Mathematical Sciences Society;2023-02-06

3. Schwarz Lemma for Solutions of the $$\alpha $$-harmonic Equation;Bulletin of the Malaysian Mathematical Sciences Society;2022-07-05

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