Trace operator and a nonlinear boundary value problem in a new space

被引：2
作者：
Pak, Hee Chul [1 ]
Park, Young Ja [2 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 330714, Chungnam, South Korea
[2] Hoseo Univ, Dept Math, Asan 336795, Chungnam, South Korea
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
trace operator; boundary value problem; function space; non-existence;
D O I：
10.1186/s13661-014-0153-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a new function space and discuss trace operator on the same genealogical spaces. We also prove that the nonlinear boundary value problem with Dirichlet condition: -Delta u = f (vertical bar u vertical bar) sgn u in the given domain, u = 0 on the boundary, possesses only a trivial solution if f obeys the slope condition: alpha' (x) > 2n/n-2 alpha(x)/x, where alpha is the anti-derivative of f with alpha(0) = 0.
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页数：13
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