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5. Semi-linear Equation Involving Fractional Laplacians and the Method of Moving Planes in Integral For

Semi-linear Equation Involving Fractional Laplacians and the Method of Moving Planes in Integral For

来源 :2012 Nonlinear Evolutionary Partial differential Equations-- | 被引量 : 0次 | 上传用户：ArchrSaber

【摘 要】

：

　　Let Ω be the unit ball B1(0) in Rn or be the upper half space Rn+.Assume 0

【作 者】

：

Wenxiong Chen Yanqin Fang Ray Yang 

【机 构】

：

YeshivaUniversity,NewYork,HenanNormalUniversity

【出 处】

：

2012 Nonlinear Evolutionary Partial differential Equations--

【发表日期】

：

2012年6期

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论文部分内容阅读

　　Let Ω be the unit ball B1(0) in Rn or be the upper half space Rn+.Assume 0<α<2.We consider the following Dirichlet problem for nonlinear equations involving fractional Laplacians:{(-△)α/2=f(u),x∈Ω,(1)u=0,x(∈)Ω.

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