共查询到20条相似文献,搜索用时 15 毫秒
1.
Xiangzhi CAO 《数学年刊B辑(英文版)》2017,38(5):1071-1076
This paper deals with the p-harmonic function on a complete non-compact submanifold M isometrically immersed in an (n + k)-dimensional complete Riemannian manifold (M) of non-negative (n-1)-th Ricci curvature.The Liouville type theorem about the p-harmonic map with finite Lq-energy from complete submanifold in a partially nonnegatively curved manifold to non-positively curved manifold is also obtained. 相似文献
2.
In this article we prove a Liouville type theorem for p-harmonic morphisms. We show that if : MNis a p-harmonic morphism (p2) from a complete noncompact Riemannian manifold Mof nonnegative Ricci curvature into a Riemannian manifold Nof nonpositive scalar curvature such that the p-energy E
p
(), or (2p–2)-energy E
2p–2() is finite, then is constant. 相似文献
3.
蔡开仁 《数学的实践与认识》2000,30(3):367-370
本文建立了具有有界的负截面曲率的完备单连通黎曼流形上 .其应力能量张量守恒的 L2 -形式的一个消失定理 .从而推广了忻元龙的新近结果 ,给出了 Dodziuk猜想的部分回答 相似文献
4.
5.
Micah Warren 《偏微分方程通讯》2013,38(5):922-932
We derive a Liouville type result for special Lagrangian equations with certain “convexity” and restricted linear growth assumptions on the solutions. 相似文献
6.
Let : M N be a harmonic morphism from a complete noncompact Riemannian manifold M with nonnegative Ricci curvature to a complete Riemannian manifold N with nonpositive scalar curvature. We show if the energy of is finite, then is constant. This can be compared with a similar result for harmonic maps when N has nonpositive sectional curvature due to Schoen and Yau. 相似文献
7.
8.
本文研究上半空间一类含有多调和延拓算子的积分方程组正解的分类问题.在某些自然结构假设下,利用积分形式的移动球面法和上半空间的积分不等式,获得了该积分方程组正解的Liouville型定理,推广了已有的结果. 相似文献
9.
本文主要讨论正拼挤超曲面的P-调和映射的不稳定性,从而推广了调和映射的相应结果. 相似文献
10.
考虑对角型椭圆组=f_i(x,u,(?)u),i=1,2,…,N. 对一种特殊情形证明其广义解的Liouville型定理成立. 相似文献
11.
雷雨田 《数学年刊A辑(中文版)》2006,(1)
本文考虑的是一类p-Ginzburg-Landau型泛函极小元,当p∈(1,n)时的极限行为.研究了极小元的零点与p-调和映射的奇点间的关系,并证明了极小元在Cloc1,γ意义下收敛到p-调和映射. 相似文献
12.
Le Anh Vinh 《Annals of Combinatorics》2011,15(3):541-547
Using Fourier analysis, Covert, Hart, Iosevich, and Uriarte-Tuero (2008) showed that if the cardinality of a subset of the 2-dimensional vector space over a finite field with q elements is ≥ ρq 2, with q-1/2 << r £ 1{q^{-1/2} ll rho leq 1} then it contains an isometric copy of ≥ cρq 3 triangles. In this note, we give a graph theoretic proof of this result. 相似文献
13.
本文考虑的是一类p-Ginzburg-Landau型泛函极小元,当p∈(1,n)时的极限行为.研究了极小元的零点与p-调和映射的奇点间的关系,并证明了极小元在C1,γloc意义下收敛到p-调和映射. 相似文献
14.
We show that it is possible to define a notion of p-energy for functions defined on a class of fractals including the Sierpinski gasket (SG) for any value of p, 1<p<, extending the construction of Kigami for p=2, as a renormalized limit of modified p-energies on a sequence of graphs. Our proof is non-constructive, and does not settle the question of uniqueness. Based on the p-energy we may define p-harmonic functions as p-energy minimizers subject to boundary conditions, but again uniqueness is only conjectural. We present some numerical data as a complement to our results. This work is intended to pave the way for an eventual theory of p-Laplacians on fractals. 相似文献
15.
T. S. S. R. K. Rao 《Numerical Functional Analysis & Optimization》2013,34(9):1041-1049
A well-known result of Garkavi asserts that any proximinal subspace of finite codimension is an intersection of proximinal hyperplanes. In this article we investigate Banach spaces in which every M-ideal of finite codimension, is an intersection of M-ideals of codimension one. We show that for spaces that have M-ideals of codimension one, this property is preserved under c 0-direct sums. We also consider this question for factor reflexive subspaces and M-summands of finite codimension. 相似文献
16.
17.
18.
In this paper, we introduce the notion of f-harmonic map with potential H with respect to the functional E f,H . We use the stress-energy tensor to obtain some monotonicity formulas and Liouville type theorems for f-harmonic maps with potential H under some conditions on f and H. 相似文献
19.
Salomón Alarcón Jorge García-Melián Alexander Quaas 《Milan Journal of Mathematics》2013,81(1):171-185
In this paper we obtain Liouville type theorems for nonnegative supersolutions of the elliptic problem ${-\Delta u + b(x)|\nabla u| = c(x)u}$ in exterior domains of ${\mathbb{R}^N}$ . We show that if lim ${{\rm inf}_{x \longrightarrow \infty} 4c(x) - b(x)^2 > 0}$ then no positive supersolutions can exist, provided the coefficients b and c verify a further restriction related to the fundamental solutions of the homogeneous problem. The weights b and c are allowed to be unbounded. As an application, we also consider supersolutions to the problems ${-\Delta u + b|x|^{\lambda}|{\nabla} u| = c|x|^{\mu} u^p}$ and ${-\Delta u + be^{\lambda |x|}|\nabla u| = ce^{\mu |x|}u^p}$ , where p > 0 and λ, μ ≥ 0, and obtain nonexistence results which are shown to be optimal. 相似文献
20.
本文给出一类带由边界的调和映射的Liouville型定理,这种类型的定理在微分几何的一些问题中有十分重要的应用.我们通过对调和映射的能量选取特殊的变分族,得到任意从半空间的简单流形到一黎曼流形的带自由边界的调和映射在如果满足适当的条件(见定理)必为常值映射的结果. 相似文献