| 具有奇性系数的半线性椭圆方程大解的存在性 |
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| 引用本文： | 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 |
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| 作者姓名： | 吴柯柯 沃维丰 |
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| 作者单位： | 宁波大学 数学与统计学院, 浙江 宁波 315211 |
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| 基金项目： | 国家自然科学基金;浙江省自然科学基金;浙江省自然科学基金 |
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| 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.
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| 关 键 词： | 半线性椭圆方程 Keller-Osserman条件 边界爆破 存在性 |
Existence of large solutions for semilinear elliptic equations with singular coefficients |
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| WU Keke,WO Weifeng. Existence of large solutions for semilinear elliptic equations with singular coefficients[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2020, 33(3): 69-73 |
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| Authors: | WU Keke WO Weifeng |
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| Affiliation: | School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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| 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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| Keywords: | semilinear elliptic equation Keller-Osserman condition boundary blow-up existence |
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