具有奇性系数的半线性椭圆方程大解的存在性
PDF下载 (293)吴柯柯,沃维丰.具有奇性系数的半线性椭圆方程大解的存在性[J].宁波大学学报(理工版),2020,33(3):69-73.DOI:
WU Keke,WO Weifeng.Existence of large solutions for semilinear elliptic equations with singular coefficients[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(3):69-73.DOI:
| Title: | Existence of large solutions for semilinear elliptic equations with singular coefficients |
| 作者: | 吴柯柯, 沃维丰 |
| Author(s): | WU Keke, WO Weifeng |
| 关键词: | 半线性椭圆方程; Keller-Osserman条件; 边界爆破; 存在性 |
| Keywords: | semilinear elliptic equation; Keller-Osserman condition; boundary blow-up; existence |
| 分类号: | O175.29 |
| 文献标识码: | A |
| 摘要: | 研究了一类带奇性系数和一般梯度项的半线性椭圆方程大解的存在性. 首先得到解的梯度估计, 然后证明了方程在边界值等于n时解的存在性, 最后利用上下解的方法得到了大解的存在性. |
| Abstract: | In order to study the existence of large solutions for semilinear elliptic equations with singular coefficients and general gradient terms, we first prove the gradient estimate, and obtain the existence of solutions when the boundary value is equal to n. Finally, the existence of large solution of the studied equation is obtained by using the method of sub-solutions and super-solutions. |
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| 备注/Memo: | 收稿日期:2019-10-16.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（11971251）;浙江省自然科学基金（LY20A010010,LY20A010011）. 第一作者:吴柯柯（1994－）,女,河南驻马店人,在读硕士研究生,主要研究方向:偏微分方程.E-mail:3247475709@qq.com *通信作者:沃维丰（1981－）,女,浙江宁波人,博士/副教授,主要研究方向:偏微分方程.E-mail:woweifeng@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
