A proof of the Khavinson conjecture in \(\mathbb{R}^3\)

DOI10.1016/J.AIM.2019.06.025zbMath1429.35056arXiv1903.04564OpenAlexW2922029637WikidataQ123184100 ScholiaQ123184100MaRDI QIDQ2313366

Petar Melentijević

Publication date: 19 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04564

zbMATH Keywords

Khavinson conjecturebounded harmonic functions in the unit ball in \(\mathbb R^3\)

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball ⋮ Schwarz-Pick lemma for harmonic and hyperbolic harmonic functions ⋮ A note on the Schwarz lemma for harmonic functions ⋮ Khavinson problem for hyperbolic harmonic mappings in Hardy space ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions ⋮ A proof of the Khavinson conjecture

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