含非齐次项椭圆方程组的边界爆破解
PDF下载 (242)王志敏,马飞遥.含非齐次项椭圆方程组的边界爆破解[J].宁波大学学报(理工版),2020,33(1):69-71.DOI:
WANG Zhimin,MA Feiyao.Boundary blow-up solutions for elliptic systems with nonhomogeneous term[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(1):69-71.DOI:
| Title: | Boundary blow-up solutions for elliptic systems with nonhomogeneous term |
| 作者: | 王志敏, 马飞遥 |
| Author(s): | WANG Zhimin, MA Feiyao |
| 关键词: | 椭圆方程组; 边界爆破解; 存在性; 非齐次项 |
| Keywords: | elliptic equations; boundary blow-up solutions; existence; non-homogeneous term |
| 分类号: | O175.25 |
| 文献标识码: | A |
| 摘要: | 利用上下解方法和比较原理研究了含非齐次项椭圆方程组边界爆破解的存在性问题. 首先证得包含非齐次项的加奇性权单个椭圆方程边界爆破解的存在性, 进一步得到方程组在边界爆破条件下解的存在性. |
| Abstract: | Using the method of sub and super solutions and the comparison principle, we study the boundary blow-up problem for an elliptic system with non-homogeneous terms. Firstly, the existence of boundary blow-up solutions for a single equation with singular weights and nonhomogeneous term is derived. Further on, the existence of solutions for the system under the condition of boundary blow-up is proven. |
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| 备注/Memo: | 收稿日期: 2019－07－16. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11471174）; 浙江省自然科学基金（LY20A010010, LY20A010011）. 第一作者: 王志敏（1994－）, 男, 安徽滁州人, 在读硕士研究生, 主要研究方向: 偏微分方程. E-mail: 1459947773@qq.com *通信作者: 马飞遥（1979－）, 男, 湖南衡阳人, 博士/副教授, 主要研究方向: 偏微分方程. E-mail: mafeiyao@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
