Liouville theorems for Dirichlet problem and Navier problem in a half space

摘要：

　　We consider the Dirichlet problem for poly harmonic operators and Navier problem in a half space.First,under some very mild growth conditions,we show that the Dirichlet problem is equivalent to the integral equation.And we also prove the equivalence between Navier problem and integral equation without any assumption on.Secondly,we obtain Liouville theorems for these two problems.Finally,we present the applications for both Liouville theorems.

作者: Yanqin Fang

作者单位: Nanjing Normal University

会议类型: 国内会议

会议名称: 2012 Nonlinear Evolutionary Partial differential Equations--theories and Qpplications( 非线性偏微分方程理论与应用国际会议)

会议地点: 上海

会议语种:英文

页码: 1-1

在线出版日期: 2012-06-12（万方平台首次上网日期，不代表论文的发表时间）