BOUNDARY BEHAVIOR OF LARGE SOLUTIONS TO QUASILINEAR ELLIPTIC PROBLEMS WITH A NONLINEAR GRADIENT TERM

被引：0
|
作者：
Liu, Chunlian [1 ]
Yang, Zuodong [2 ,3 ]
机构：
[1] Nantong Univ, Coll Xinglin, Nantong 226008, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Sch Teacher Educ, Nanjing 210097, Jiangsu, Peoples R China
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2015年 / 7卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Large solutions; quasilinear elliptic equation; asymptotic behavior; boundary blow-up; nonlinear gradients;
D O I：
10.7153/dea-07-08
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the boundary behavior of solutions to boundary blow- up elliptic problems {div(vertical bar del u(vertical bar)(m-2)del u) +/-vertical bar del u(x)vertical bar(q(m-1)) = b(x)f(u), x is an element of Omega u > 0, x is an element of Omega u vertical bar partial derivative Omega = +infinity, where Omega is bounded domain with smooth boundary in R-N,R- m > 1 , q > 0, b is an element of C-alpha(<(Omega),over bar>), which is positive in Omega and may be vanishing on the boundary and rapidly varying near the boundary, and f is rapidly varying or normalized regularly varying at infinity.
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页码：133 / 150
页数：18
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