On the growth of superharmonic functions near an isolated singularity. I
type: Item
instance of: scholarly article
title: On the growth of superharmonic functions near an isolated singularity. I
zbMATH Open document ID: 0939.31005
author: Steven D. Taliaferro
published in: Journal of Differential Equations
publication date: 2000-07-10T00:00:00Z
review text: The author studies the growth near the origin of \(C^2\) positive solutions \(u(x)\) of \[ af(u)< -\Delta u<bf(u) \quad\text{in }\Omega, \] where \(\Omega\subset \mathbb{R}^n\) is a punctured neighborhood of the origin, \(a\) and \(b\) are positive constants and \(f:(0,\infty)\to (0,\infty)\) is a continuous function. For related results see the papers of \textit{L. A. Caffarelli, B. Gidas} and \textit{J. Spruck} [Commun. Pure Appl. Math. 42, 271-297 (1989; Zbl 0702.35085)] and \textit{Chiun-Chuan Chen} and \textit{Chang-Shou Lin} [Commun. Pure Appl. Math. 50, 971-1017 (1997)].
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 35R45
zbMATH DE Number: 1384458
zbMATH Keywords: growth of superharmonic functions
MaRDI profile type: Publication
cites work: Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
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description: scientific article; zbMATH DE number 1384458