Existence and regularity of solutions to elliptic equation with singular convection term and lower order term

被引：2
|
作者：
He, Xiaohua [1 ,2 ]
Huang, Shuibo [1 ]
Tian, Qiaoyu [1 ]
机构：
[1] Northwest Minzu Univ, Sch Math & Comp Sci, Lanzhou 730030, Gansu, Peoples R China
[2] West Yunnan Univ, Dept Math & Phys, Lincang, Yunnan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 01期
关键词：
existence; regularity; singular convection term; singular lower order term; DIRICHLET PROBLEMS;
D O I：
10.1002/mma.8496
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the effects of singular convection term and lower order term on the existence and regularity of solutions to the following elliptic Dirichlet problem: {-div(M(x)del u = -divE(x) + f(x)/u gamma, x is an element of Omega, u(x) = 0, x is an element of partial derivative Omega, where gamma > 0, Omega subset of R-N (N>2) is a bounded smooth domain with 0 is an element of Omega, f is an element of L-m(Omega) with m >= 1 is a non-negative function. The main results of this paper show the combined effects of singular convection term and lower order term on the existence and regularity of solution to this problem.
引用
收藏
页码：89 / 106
页数：18
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