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半线性退化椭圆方程解的奇异性与退化性

Singularity and Decay of Solutions for a Degenerate Semilinear Elliptic Equation
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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. 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.
作者 李冬艳 董艳 Li Dongyan;Dong Yan(School of Science,Xi’an Polytechnic University,Xi’an 710048;Department of Applied Mathematics,Hubei University of Economics,Wuhan 430205)
机构地区 西安工程大学理学院 湖北经济学院应用数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2019年第6期1376-1380,共5页 Acta Mathematica Scientia
基金 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)~~
关键词 先验估计 Re-scaling变换 奇异性与退化性 a Priori bounds Re-scaling Singularity and decay
分类号 O175 [理学—基础数学]
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数学物理学报（A辑）
2019年 第6期

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