p-Laplace算子,p-Laplace operator
1)p-Laplace operatorp-Laplace算子
1.Existence of solution of boundary value problems withp-Laplace operator;具p-Laplace算子型边值问题解的存在性
2.The physical characteristics of total variation(TV) model andp-Laplace operator in local coordinates are analyzed,which shows that the diffusion performance ofp-Laplace operator is essentially superior to that of TV model.首先从局部坐标角度分析整体变分(TV)模型与p-Laplace算子的物理意义,从本质上说明p-Laplace算子的扩散性能优于TV模型,进而提出一种基于p-Laplace算子的图像修补算法。
3.The existence of solutions to a type of nonlinear ordinary differential equations four-point boundary value problems withp-Laplace operator was studied by means of the extension of Mawhin s continuation theorem with sufficient conditions obtained for the existence of solution.利用Mawhin连续引理的推广形式,研究一类具p-Laplace算子的非线性常微分方程四点边值问题解的存在性,得到了方程解存在的充分条件。
1.Study of Solutions to Boundary Value Problems of the p-Laplace Differential Equations带p-Laplace算子的微分方程边值问题研究
2.Some Problems on Evolution p-Laplace Systems;与p-Laplace算子相关的发展型方程组的一些问题
3.Existence of positive solutions for multi-point boundary value problem with p-Laplacian operator一类带p-Laplace算子的多点边值问题的正解
4.PERIODIC SOLUTIONS FOR p-LAPLACIAN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION具有p-Laplace算子的中立型泛函微分方程周期解
5.Method of lower and upper solutions for non-homogeneous boundary value problems of type p-Laplacian equationp-Laplace算子方程非齐次边值问题的上下解方法
6.The Existence of Positive Solution of Multi-Point Boundary Value Problem with a p-Laplace Operator带p-Laplace算子多点边值问题正解的存在性
7.The Problem of Periodic Solutions for p-Laplacian Functional Differential Equations and the p-Laplacian Boundary Value Problem of Ordinary Differential Equations;具p-Laplace算子的泛函微分方程周期解问题及常微分方程边值问题
8.Two Term Asymptotics of Counting Function for One Dimensional p-Laplace Operator with Mixed and Periodic Boundary-value Conditions;混合及周期边值条件下一维p-Laplace算子计数函数的二项渐近
9.Asymptotics of Eigenvalues for One Dimensional p-Laplace Operator with Neumann Boundary-value Conditions;Neumann边值条件下一维p-Laplace算子的特征值渐近和格点
10.Non-local Boundary-value Problems of Singular Impulsive Differential Equations with a p-Laplace Operator带p-Laplace算子的奇异脉冲微分方程非局部边值问题
11.Nonnegative Solutions of p-Laplacian Two Point Boundary Value Problems with Sign Changing of Nonlinear Term非线性项变号的p-Laplace算子型两点边值问题的非负解
12.Dirichlet eigenvalue estimates for p-sub-Laplacian in the Heisenberg group;Heisenberg群上p-次Laplace算子的Dirichlet特征值估计
13.Laplace Operator on Finsler Manifolds;FINSLER流形上的LAPLACE算子
14.An algorithm of Laplacian-based 3D surface registration基于Laplace算子的三维网格注册算法
15.Weighted Laplace-Beltrami Operator and Related Problems;加权Laplace-Beltrami算子及相关问题研究
16.Some Vector-valued Estimates for Imaginary Powers of Laplace Operators;虚数阶Laplace算子的向量值估计
17.Estimates for Eigenvalues of Laplacian Operator with Any Order任意阶Laplace算子的特征值估计
18.Laplace Transform Inversions and Perturbations of the Operator Families算子族的Laplace变换反演与扰动
相关短句/例句
p-Laplacian operatorp-Laplace算子
1.By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta,the abstract results on the existence of solution u∈L~a(Ω)of nonlinear boundary value problems involving thep-Laplacian operator have been obtained, where(2N/N+1)＜p(?)s＜+∞,for N(?)1.利用Calvert和Gupta关于非线性增生映射值域的扰动理论,研究了与p-Laplace算子相关的非线性边值问题在L~s(Ω)空间中解的存在性,其中(2N/N+1)＜p(?)s＜+∞且N(?)1。
2.This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations withp-Laplacian operator.利用锥拉伸与锥压缩不动点定理,研究一类具p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性,给出了单调正解存在的充分条件,并确定了解曲线的凹凸性。
3.In chapter 4, the existence of homoclinic solutions for the non-autonomous second system withp-Laplacian operator is discussed, where p >1.第四章:讨论带p-Laplace算子的非自治二阶系统同宿轨道的存在性,推广了第三章的结果,其中p>1。
3)p-Laplacianp-Laplace算子
1.Existence of Three Positive Solutions for the Two-point Boundary Value Problem with p-laplacian;带p-laplace算子的两点边值问题三个正解的存在性
2.In this paper,the existence of multiple positive solutions for a class of fourth-orderp-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.利用不动点指数理论研究了一类含p-Laplace算子的四阶奇异边值问题的多重正解的存在性,给出了至少存在两个正解的条件,改进了不久前其他作者的相关研究。
3.Existence and iteration of positive solutions for a multipoint somep-Laplacian differential equation was studied by applying a monotone iterative method.利用单调迭代方法讨论了一类具有p-Laplace算子的多点边值问题,不仅得到了两个正解,而且建立了迭代序列逼近其解。
4)p(t)-Laplacianp(t)-Laplace算子
5)p-sub-Laplacianp-次Laplace算子
1.Dirichlet eigenvalue estimates forp-sub-Laplacian in the Heisenberg group;Heisenberg群上p-次Laplace算子的Dirichlet特征值估计
6)p-sub-Laplacianp-sub-Laplace算子
1.In this paper, we discuss some nonexistences related top-sub-Laplacian inequalities on the Heisenberg group and p-degenerate sub-elliptic inequalities constructed by generalized Baouendi-Grushin vector fields.本文研究了Heisenberg群上相应于p-sub-Laplace算子△_(H,p)的不等方程和由广义Baouendi-Grushin向量场构成的退化椭圆L_(p,α)不等方程非平凡弱解的不存在性。
延伸阅读
Laplace算子Laplace算子h内沈算子〔玩内理月碑.姗或u肉山n;几面议:oneP咐p」 由公式刁2二刁2 A=-二-，犷十“’+芍，犷(1)~刁xf刁x:所定义的R”内的微分算子以及它的某些推广(此处x，，…，x。是R”中的坐标).Up玩e算子(l)是最简单的二阶椭圆型微分算子.Uphce算子在数学分析、数学物理以及几何学中起着重要作用;例如，见U内ce方程(肠plaee闪Ua石on);h幽ce.Bd坛队城方程( Up址卜且组m而闪珑山。n);调和函数(坛江monic仙le石on);调和形式(抽叮的nic fonn).令M是一个n维具度量己s，一9 ij dx‘dx，，g‘，一夕，‘(2)的R~流形(R记Inann碗n拍Lnifokl)，}}g，ilI是矩阵}g‘，}的逆矩阵，g一det}gij{，则在带有Ri日rr以nn度量〔2)的M上的Uplace算子(或Up玩e一氏h-】习匡nl算子)有形式 1刁f。“刁u〕 △u=一一下二一飞丁了l寸qg‘，~于升I，(3) 一’寸a日x‘LY”“刁x，J’此中(x’，·，x”)是M上的局部坐标.(算子(l)与具标准Euclid度量ds’=(dx’)’+…+(dx”)’的R”上的助place算子相差一个符号).算子(3)的一个推广是在微分形式(由玉沈n往alform)上的助p玩e算子，即在M上外微分形式空间内，Up玩e算子有形式 △=(d+d’)，二dd’+d’d，(4)此中d是一形式的外微分的算子，且d’是形式地伴随于d的算子，它借助于在紧支集的光滑形式上取下述内积而定义:‘:，刀，一丁:八，刀，(5)此处*是由度量(2)诱导的H司珍星号算子，它将一个p形式变成一个〔n一p)形式.在(5)中形式:和口假定是实的;关于复形式，人们必须用内积(5)的H改而te推广.算子(4)在0形式(即函数)上的限制规定为(3)关于P形式(p)O任意整数)的情形，在局部坐标下UP场ce算子能写成如下形式:△(a，一，dx“八…八d、‘·)=一{一v!v‘一、睿1‘一，，““二一几、‘ ·2刃，(一1)…;:‘;。、，·*。
