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1)  fundamental solution of the Laplace equation
Laplace方程基本解
2)  Young-Laplace equation
Young-Laplace方程
3)  Laplace equation
Laplace方程
1.
Several solutions of laplace equations and their application to the study of seepage failure;
Laplace方程若干问题的解及其在渗透破坏中的应用
2.
Alternating iteration method for solving the Laplace equation;
求解Laplace方程的交替迭代法
3.
The existence for the solution of the Laplace equation with an exponential Neumann boundary condition;
带指数增长型Neumann边界条件的Laplace方程解的存在性
4)  p-Laplacian equation
P-Laplace方程
1.
In this paper we consider the global existence of the solutions of the p-Laplacian equations with particular coefficient.
利用Hardy不等式及Soblev嵌入定理讨论了具特殊系数的P-Laplace方程解的整体存在性,得到对初值u_0∈W~(1,p)(Ω)当λ<λ_(N,p),对任意的1λ_(N,p),1
2.
In this paper we consider the Cauchy problem of the p-Laplacian equations with absorption.
本文讨论了带吸收项的P-Laplace方程解当p→∞时的渐近性质。
3.
This paper deals with the existence of a solution for a fourth-order p-Laplacian equation boundary value problem: ,and the different case for the degree of power with respect to the variables x and y of f(t,x,y).
研究一类四阶p-Laplace方程的边值问题:。
5)  p-Laplace equation
p-Laplace方程
1.
Existence of solutions for p-Laplace equations subject to the boundary value problem;
p-Laplace方程边值问题解的存在性
2.
In this paper,the existence of solutions is considered for one dimensional p-Laplace equation(φ_p(u′(t)))′= f(t,u(t),u′(t)),t∈(0,1)subject to Neumann boundary con- dition.
主要讨论一维p-Laplace方程(φ_p(u′(t)))′=f(t,u(t),u′(t)),t∈(0,1)在Neumann边值条件u′(0)=0,u′(1)=0下,对应的边值问题解的存在性。
3.
The authors discuss the existence of positive solution for a p-Laplace equation with singular weight by using Sobolev-Hardy inequality and the Mountain Pass Lemma.
利用Sobolev-Hardy不等式和山路引理,讨论了一类包含奇性权p-Laplace方程在具有光滑边界开集上正解的存在性。
6)  p-Laplace
p-Laplace方程
1.
Existence of solutions for the p-Laplace equation subject to the three-point boundary value problem;
p-Laplace方程的三点边值问题解的存在性
2.
The Existence of Solutions for p-Laplace Equations Subject to Neumann Boundary Value Problem;
p-Laplace方程Neumann边值问题的可解性
补充资料:基本解


基本解
fundamental solution

基本解[如山..如】,加‘阅;中y“朋“el.T.几研此畔-毗哪1,线性偏微分方程的具有C田系数的偏微分方程L城x),0(x任R”)的形如函数I(x,y)的解,对于固定的y‘R”,它满足方程 Ll(x,y)‘占(x一y),x笋y,此方程在广义函数论的意义下来理解,其中占是d日加函数(山加一几mCtion).每一个常系数偏微分方程以及任意的椭圆型方程都有基本解.例如,对于诸常系数a.j构成一正定矩阵a的椭圆型方程 么己Zu )久一=0, ‘.仁,一‘,刁x:刁毛由函数 ‘「夕,。二一v)。:一,月‘’一”)/2.。,2.1!X。V、=之 七logL,弃、月1,tx‘一夕‘’Lxj一yj’」’”一乙给出了它的一个基本解,其中A。是aij在矩阵a中的代数余子式. 基本解被广泛地应用于椭圆型方程边值间题的研究中.【补注】基本解亦被用于双曲型和抛物型方程O州由y问皿(Q“土y Problelli)的研究.基本解亦用另一英文名称悦打圈血叮田lution”. 亦见Gn沈”函数(Gn笼”加目币on).
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