半线性退化椭圆方程解的奇异性与退化性

数学物理学报 ›› 2019, Vol. 39 ›› Issue (6): 1376-1380.

半线性退化椭圆方程解的奇异性与退化性

李冬艳¹,董艳^2,*()

¹ 西安工程大学理学院西安 710048
² 湖北经济学院应用数学系武汉 430205

收稿日期:2018-12-12 出版日期:2019-12-26 发布日期:2019-12-28
通讯作者: 董艳 E-mail:w408867388w@126.com
基金资助:
国家自然科学基金(11701162);陕西省自然科学基金(2016JQ1029);陕西省教育厅自然科学基金(16JK1320)

Singularity and Decay of Solutions for a Degenerate Semilinear Elliptic Equation

Dongyan Li¹,Yan Dong^2,*()

¹ School of Science, Xi'an Polytechnic University, Xi'an 710048
² Department of Applied Mathematics, Hubei University of Economics, Wuhan 430205

Received:2018-12-12 Online:2019-12-26 Published:2019-12-28
Contact: Yan Dong E-mail:w408867388w@126.com
Supported by:
the NSFC(11701162);the Natural Science Foundation of Shaanxi Province(2016JQ1029);the Natural Science Foundation of Education Department of Shaanxi Province(16JK1320)

摘要/Abstract

摘要：

该文基于Re-scaling变换，建立了半线性退化椭圆方程解的奇异性和退化性.作为应用，在有界区域上，建立带有边值问题退化椭圆方程正解的先验估计.

关键词: 先验估计, Re-scaling变换, 奇异性与退化性

Abstract:

In this paper, we establish a singularity and decay of solutions for a degenerate semilinear elliptic equation based on re-scaling arguments combined with a doubling property. As an application, we derive a priori bounds of solutions of a boundary value problem.

Key words: a Priori bounds, Re-scaling, Singularity and decay

中图分类号:

O175

李冬艳,董艳. 半线性退化椭圆方程解的奇异性与退化性[J]. 数学物理学报, 2019, 39(6): 1376-1380.

Dongyan Li,Yan Dong. Singularity and Decay of Solutions for a Degenerate Semilinear Elliptic Equation[J]. Acta mathematica scientia,Series A, 2019, 39(6): 1376-1380.

参考文献 8

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