含奇异权函数的椭圆方程组边界爆破解的唯一性(Uniqueness of boundary blow-up solution to an elliptic system with singular weights)

Autor: LIXiaoqin(李晓琴), LINXian'an(林先安), GUOShuhui(郭淑会)
Jazyk: čínština
Rok vydání: 2014
Předmět:
Zdroj: Zhejiang Daxue xuebao. Lixue ban, Vol 41, Iss 1, Pp 12-17 (2014)
Druh dokumentu: article
ISSN: 1008-9497
DOI: 10.3785/j.issn.1008-9497.2014.01.003
Popis: Based on the construction of certain upper and sub-solutions, the boundary behavior of positive boundary blow-up solutions to elliptic systems are obtained, here the singular weight functions b1(x),b2(x) are permitted to be bounded in some parts of the boundary, and to go to infinity or even oscillate in other parts. Furthermore, the uniqueness of the boundary blow-up solutions without the exact boundary behavior are also studied. The results show that it is not necessary to impose an exact boundary behavior to the weight functions, but only to control their growth near the boundary for uniqueness.
Databáze: Directory of Open Access Journals