June 2022 Pointwise boundary behavior of large solutions to -Laplacian equations
Yongxiu Shi, Haitao Wan
Rocky Mountain J. Math. 52(3): 1047-1061 (June 2022). DOI: 10.1216/rmj.2022.52.1047

Abstract

We study the pointwise boundary behavior of the -Laplacian problem

Δu=b(x)f(u),u0,xΩ,u|Ω=,

where bC(Ω¯) is positive in Ω, fC[0,)C1(0,) is positive and nondecreasing on (0,) and satisfies an Keller–Osserman type condition.

Citation

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Yongxiu Shi. Haitao Wan. "Pointwise boundary behavior of large solutions to -Laplacian equations." Rocky Mountain J. Math. 52 (3) 1047 - 1061, June 2022. https://doi.org/10.1216/rmj.2022.52.1047

Information

Received: 23 May 2021; Revised: 17 August 2021; Accepted: 22 August 2021; Published: June 2022
First available in Project Euclid: 16 June 2022

MathSciNet: MR4441113
zbMATH: 1492.35050
Digital Object Identifier: 10.1216/rmj.2022.52.1047

Subjects:
Primary: 35B40 , 35J25 , 35J60 , 35J62 , 35J67

Keywords: ∞-Laplacian equation , boundary blow-up , pointwise boundary behavior , viscosity solutions

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.52 • No. 3 • June 2022
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