Asymptotic Behavior of Infinity Harmonic Functions Near an Isolated Singularity

DOI10.1093/IMRN/RNM163zbMath1159.31004OpenAlexW2133046044MaRDI QIDQ3516004

Yifeng Yu, Changyou Wang, Ovidiu V. Savin

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/021069afea7d2729854fd0622c8b60d64409ced1

zbMATH Keywords

isolated singularityinfinity harmonic functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (8)

Solutions of Aronsson equation near isolated points ⋮ Local behaviour of singular solutions for nonlinear elliptic equations in divergence form ⋮ Remarks on area maximizing hypersurfaces over \(\mathbb{R}^n \backslash \{0\}\) and exterior domains ⋮ Solutions to an inhomogeneous equation involving infinity Laplacian ⋮ Solutions to an inhomogeneous equation involving Aronsson operator ⋮ Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian ⋮ Unnamed Item ⋮ Removable singularities for degenerate elliptic equations without conditions on the growth of the solution

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