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,SPECTRAL PROPERTIES OF SECOND ORDER DIFFERENTIAL OPERATORS ON TWO-STEP NILPOTENT LIE GROUPS
[期刊论文] 作者：Niu Pengcheng, 来源：偏微分方程（英文版） 年份：2000
In this paper, spectral properties of certain left invariant differential operators on two-step nilpotent Lie groups are completely described by using the theor...
SOME LIOUVILLE TYPE THEOREMS FOR THE P-SUB-LAPLACIAN ON THE GROUP OF HEISENBERG TYPE
[期刊论文] 作者：Yuan Zixia,Niu Pengcheng, 来源：偏微分方程：英文版 年份：2008
...
MAXIMUM PRINCIPLES OF NONHOMOGENEOUS SUBELLIPTIC P-LAPLACE EQUATIONS AND APPLICATIONS
[期刊论文] 作者：Liu Haifeng Niu Pengcheng, 来源：偏微分方程：英文版 年份：2006
...
,Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group
[期刊论文] 作者：WANG Xinjing,NIU Pengcheng, 来源：偏微分方程（英文版） 年份：2019
The aim of the paper is to study properties of solutions to the nonlinear fractional subLaplace equations on the Heisenberg group.Based on the method of moving...
,A CARLEMAN ESTIMATE ON GROUPS OF HEISENBERG TYPE
[期刊论文] 作者：Han Junqiang,Niu Pengcheng, 来源：偏微分方程（英文版） 年份：2006
A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is establishe...
ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON CARNOT GROUPS
[期刊论文] 作者：Niu Pengcheng,Wang Jialin, 来源：黑龙江科技学院学报 年份：2010
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7...
SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP
[期刊论文] 作者：Yuan Zixia,Niu Pengcheng, 来源：黑龙江科技学院学报 年份：2009
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7...
A Nash Type Result for Divergence Parabolic Equation Related to H?rmander＇s Vector Fields
[期刊论文] 作者：HOU Lingling,NIU Pengcheng, 来源：偏微分方程（英文版） 年份：2020
In this paper we consider the divergence parabolic equation with bound-ed and measurable coefficients related to Hormander＇s vector fields and establish a Nash t...
Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group
[期刊论文] 作者：WEI Na NIU Pengcheng LIU Haife, 来源：偏微分方程：英文版 年份：2009
...
,Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group
[期刊论文] 作者：WEI Na,NIU Pengcheng,LIU Haifeng, 来源：偏微分方程（英文版） 年份：2009
We prove some new Hardy type inequalities on the bounded domain with smooth boundary in the Caot group. Several estimates of the first and second Dirich-let eig...
,POLAR COORDINATES FOR THE GENERALIZED BAOUENDI-GRUSHIN OPERATOR AND APPLICATIONS
[期刊论文] 作者：Dou Jingbo,Niu Pengcheng,Han Junqiang, 来源：偏微分方程(英文版) 年份：2007
In this parer,by using the polar coordinates for the generalized Baouendi-Grushin operator (￡)α=n∑i=1(σ)2/(σ)x2i+m∑j=1|x|2α(σ)2/(σ)y2j,where x=(x1, x2,...
,LIOUVILLE TYPE THEOREMS OF SEMILINEAR EQUATIONS WITH SQUARE SUM OF VECTOR FIELDS
[期刊论文] 作者：Han Yazhou,Luo Xuebo,Niu Pengcheng, 来源：偏微分方程（英文版） 年份：2005
Let Xj, j = 1,…, k, be first order smooth quasi-homogeneous vector fields on Rn with the property that the dimension of the Lie algebra generated by these vect...
,A HARDY TYPE INEQUALITY AND INDEFINITE EIGENVALUE PROBLEMS ON THE HOMOGENEOUS GROUP
[期刊论文] 作者：Han Yazhou(韩亚洲),Niu Pengcheng(钮鹏程),Luo Xuebo(罗学波), 来源：偏微分方程（英文版） 年份：2002
In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group. The existence of the indefinite...
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