New proofs of Liouville's theorem and little Picard's theorem for harmonic functions on \(R^n \), \(n\ge 2\)
From MaRDI portal
Publication:2046946
DOI10.1007/s11785-021-01138-yzbMath1477.31016OpenAlexW3179742850WikidataQ113899861 ScholiaQ113899861MaRDI QIDQ2046946
Miomir Andjić, Žarko Pavićević
Publication date: 19 August 2021
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-021-01138-y
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Normal functions of one complex variable, normal families (30D45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A geometric proof of Mostow's rigidity theorem for groups of divergence type
- On discrete Möbius groups in all dimensions: A generalization of Jørgensen's inequality
- On the number of omitted values of entire quasiregular mappings
- Conformal geometry and quasiregular mappings
- The analogue of Picard's theorem for quasiregular mappings in dimension three
- Normal families
- Bloch's principle
- Harmonic Function Theory
- Discrete Quasiconformal Groups I
- Normal Families of Quasimeromorphic Mappings
- A Heuristic Principle in Complex Function Theory
- A Generalization of the Little Theorem of Picard
- Fragments of dynamic of Möebious mappings and some applications. Part I
- On a quaternionic Picard theorem
- Mathematical Pearls: A Proof of Liouville's Theorem
This page was built for publication: New proofs of Liouville's theorem and little Picard's theorem for harmonic functions on \(R^n \), \(n\ge 2\)