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

被引：0
作者：
Hee Chul Pak
Young Ja Park
机构：
[1] Dankook University,Department of Mathematics
[2] Hoseo University,Department of Mathematics
来源：
Boundary Value Problems | / 2014卷
关键词：
trace operator; boundary value problem; function space; non-existence; 30E25; 35A01; 46E35; 42B35;
D O I：
暂无
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学科分类号：
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: −Δu=f(|u|)sgnu in the given domain, u=0 on the boundary, possesses only a trivial solution if f obeys the slope condition: α′(x)>2nn−2α(x)x, where α is the anti-derivative of f with α(0)=0.
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