Infinity Harmonic Functions over Exterior Domains

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Jan 2020Embargo end date: 01 Mar 2019 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,021, pages 11,093-11,102 (issn: 1073-7928, eissn: 1687-0247,

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Authors: Hong, Guanghao; Zhao, Yizhen;

doi: 10.1093/imrn/rnz366 , 10.48550/arxiv.1903.00775

arXiv: 1903.00775

Infinity Harmonic Functions over Exterior Domains

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Abstract

Abstract In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or cones at infinity. We also establish the solvability of Dirichlet problems for exterior domains.

Related Organizations

Xi’an Jiaotong-Liverpool University
China (People's Republic of)

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Primary 35J15, 35J60, 35J70, Secondary 49N60, Analysis of PDEs (math.AP)

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