On Lipschitz continuity of solutions of hyperbolic Poisson's equation

DOI10.1007/s00526-017-1290-xzbMath1387.31003arXiv1607.05374OpenAlexW2963301215WikidataQ115387275 ScholiaQ115387275MaRDI QIDQ1703136

Jiaolong Chen, Manzi Huang, Xian Tao Wang, Antti H. Rasila

Publication date: 1 March 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05374

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (7)

Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk ⋮ Khavinson problem for hyperbolic harmonic mappings in Hardy space ⋮ On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation ⋮ On the behavior of Orlicz-Sobolev mappings with branching on the unit sphere ⋮ Optimal estimates for hyperbolic Poisson integrals of functions in \(L^p\) with \(p > 1\) and radial eigenfunctions of the hyperbolic Laplacian ⋮ Generalized Bloch spaces, integral means of hyperbolic harmonic mappings in the unit ball ⋮ Hölder continuity of hyperbolic Poisson integral and hyperbolic Green integral

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \((K, K^{\prime})\)-quasiconformal harmonic mappings
• Lipschitz conditions on the modulus of a harmonic function
• Quasiconformal and harmonic mappings between Jordan domains
• Inner estimate and quasiconformal harmonic maps between smooth domains
• Conformal geometry and quasiregular mappings
• Weighted maximal functions and derivatives of invariant Poisson integrals of potentials
• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• Weighted Hölder continuity of hyperbolic harmonic Bloch functions.
• Holomorphic functions and quasiconformal mappings with smooth moduli
• On the Lipschitz continuity of certain quasiregular mappings between smooth Jordan domains
• The solution operator of the inhomogeneous Dirichlet problem in the unit ball
• Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
• (K,K')-Quasiconformal harmonic mappings of the upper half plane onto itself
• On the quasiconformal self-mappings of the unit ball satisfying the Poisson differential equation
• On quasiconformal self-mappings of the unit disk satisfying Poisson’s equation
• The dirichlet problem for the bergman laplacian. I
• QUASICONFORMAL SOLUTIONS OF POISSON EQUATIONS
• Spaces of Holomorphic Functions in the Unit Ball
• Harmonic univalent functions
• On the modulus of continuity of harmonic quasiregular mappings on the unit ball in Rn
• Radial growth and Hardy-Littlewood-type theorems on hyperbolic harmonic functions
• Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball
• Notions of convexity

This page was built for publication: On Lipschitz continuity of solutions of hyperbolic Poisson's equation