2021 Second-order boundary estimates for large positive solutions to an elliptic system of competitive type
Haohao Jia, Feiyao Ma, Weifeng Wo
Topol. Methods Nonlinear Anal. 57(2): 695-708 (2021). DOI: 10.12775/TMNA.2020.057

Abstract

In this paper, we study the second-order boundary asymptotic behaviour for large positive solutions to an elliptic system of competitive type. First, we derive a second-order estimate to a related single weighted equation with boundary blow-up data. Then, by relaxing the system and iterating the estimate of the single equation, we establish second-order estimates of the solutions.

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Haohao Jia. Feiyao Ma. Weifeng Wo. "Second-order boundary estimates for large positive solutions to an elliptic system of competitive type." Topol. Methods Nonlinear Anal. 57 (2) 695 - 708, 2021. https://doi.org/10.12775/TMNA.2020.057

Information

Published: 2021
First available in Project Euclid: 4 August 2021

MathSciNet: MR4359733
zbMATH: 1479.35341
Digital Object Identifier: 10.12775/TMNA.2020.057

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.57 • No. 2 • 2021
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