Singularity and decay estimate of solutions of a system of semi-linear degenerate elliptic equations

LI Dongyan; LI Li

doi:10.13471/j.cnki.acta.snus.2019A086

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Singularity and decay estimate of solutions of a system of semi-linear degenerate elliptic equations

Research articles | 更新时间：2023-11-01

- Singularity and decay estimate of solutions of a system of semi-linear degenerate elliptic equations
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 60, Issue 4, Pages: 164-169(2021)
- 作者机构：
  
  西安工程大学理学院数学系，陕西西安 710048
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2019A086
  CLC： O175.29
- Published：25 July 2021，
  
  Published Online：02 June 2021，
  
  Received：12 November 2019，
  
  Accepted：11 March 2021
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李冬艳,李莉.半线性退化椭圆方程组解的奇异性和退化估计[J].中山大学学报(自然科学版),2021,60(04):164-169.

LI Dongyan,LI Li.Singularity and decay estimate of solutions of a system of semi-linear degenerate elliptic equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2021,60(04):164-169.
李冬艳,李莉.半线性退化椭圆方程组解的奇异性和退化估计[J].中山大学学报(自然科学版),2021,60(04):164-169. DOI： 10.13471/j.cnki.acta.snus.2019A086.

LI Dongyan,LI Li.Singularity and decay estimate of solutions of a system of semi-linear degenerate elliptic equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2021,60(04):164-169. DOI： 10.13471/j.cnki.acta.snus.2019A086.

摘要

基于Re-scaling变换及Double引理，建立半线性退化椭圆方程组解的奇异性和退化估计。作为应用，在有界区域上，证明带有边值问题退化椭圆方程组正解的先验估计。

Abstract

Some singularity and decay estimates of solutions for a degenerate semi-linear elliptic equation system are established based on re-scaling arguments combined with a doubling property. As an application， a priori bound of solutions of a boundary value problem to a degenerate semi-linear elliptic equation system is derived.

关键词

Re-scaling变换奇异性和退化性先验估计

Keywords

re-scalingsingularity and decaya priori bound

references

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PHAN Q H. Liouville-type theorems and bounds of solutions for Hardy-Hénon elliptic systems ［J］. Advances in Differential Equations， 2011，17（7/8）： 605-634.

GUO Z M， WAN F S. Further study of a weighted elliptic equation ［J］. Science China Mathematics， 2017， 60（12）： 2391-2406.

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关晓红. 几类退化椭圆型方程及方程组研究［D］. 新乡: 河南师范大学， 2018.

GUAN X H. Research on some classes of degenerate elliptic equations and systems ［D］.Xinxiang: Hennan Normal University， 2018.

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