BOUNDARY SCHWARZ LEMMA FOR SOLUTIONS TO NONHOMOGENEOUS BIHARMONIC EQUATIONS
From MaRDI portal
Publication:5244206
DOI10.1017/S0004972719000947zbMath1429.31002arXiv1906.08151OpenAlexW2972650023WikidataQ124815526 ScholiaQ124815526MaRDI QIDQ5244206
Jian-Feng Zhu, Manas Ranjan Mohapatra, Xian Tao Wang
Publication date: 20 November 2019
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08151
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (4)
Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations ⋮ Some inequalities for self-mappings of unit ball satisfying the invariant Laplacians ⋮ On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation
Cites Work
- A new boundary rigidity theorem for holomorphic self-mappings of the unit ball in \(\mathbb C ^n\)
- Schwarz lemma at the boundary of strongly pseudoconvex domain in \(\mathbb C^n\)
- Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
- Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation
- On biharmonic maps and their generalizations
- Boundary Schwarz lemma for solutions to Poisson's equation
- The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations
- Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations
- Harmonic Function Theory
- The Schwarz lemma at the boundary
- On Bloch's Constant
- Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
- A sharp Schwarz inequality on the boundary
- Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: BOUNDARY SCHWARZ LEMMA FOR SOLUTIONS TO NONHOMOGENEOUS BIHARMONIC EQUATIONS