1) 3D Laplace equation
三维Laplace方程
1.
This paper based on the single and double layer potentials, gives the virtual boundary integral equations for different boundary value problems of 3D Laplace equation with the unknown function of density or moment density on the virtual boundary.
鉴于虚边界元方法的成功应用,但少见对三维问题的算例,本文针对三维Laplace方程的几种边值问题,采用基于单层位势和双层位势两种方式,分别利用分布在虚拟边界上的密度函数和矩密度函数,建立三维Laplace方程的虚边界元计算公式,并用常单元和等额配点法计算,给出了两种虚边界积分方程的四点Gauss数值积分计算结果。
2.
Based on the single and double layer potentials,this paper gives the virtual boundary integral equations of 3D Laplace equation for different boundary value problems 3D Laplace equation with the help of the density function and moment density on the virtual boundary.
针对三维Laplace方程的几种边值问题,采用基于单层位势和双层位势2种方式,利用分布在虚拟边界上的密度函数和矩密度函数,建立三维Laplace方程的虚边界元计算公式,并用常单元和等额配点法计算。
2) one-dimensional p-Laplace equation
一维p-Laplace方程
1.
Existence of positive solution for one-dimensional p-Laplace equation with multipoint boundary value and integral boundary conditions are considered.
该文考虑非线性一维p-Laplace方程的多点边值问题及积分边界问题正解的存在性,以及在3点边值条件下线性方程的特征值问题。
3) Young-Laplace equation
Young-Laplace方程
4) 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
5) 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:。
6) 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。
补充资料：Laplace-Beltrami方程
Laplace-Beltrami方程
Laplace - Beta-ami equation
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