The p-Laplace equation is a generalization of the Laplace equation, which is a second-order partial differential equation commonly used in physics and engineering to describe the behavior of scalar fields. The p-Laplace equation is given by: Δ_pu= div(|∇u|^(p-2) ∇u) = 0。 where...
We build a semi-implicit solver, which solves the Laplace equation as each step. It is fast in the sense that the number of iterations is independent of the problem size. This is an improvement over previous explicit solvers, which are slow due to the CFL condition.Oberman,...
p-Laplace方程解的存在性 硕士学位论文 （高校教师）p-Laplace方程解的存在性 )(x EXISTENCE OF SOLUTIONS OF )p-LAPLACE EQUATION (x 房维维 哈尔滨工业大学 2009年6月
网络p-拉普拉斯方程 网络释义 1. p-拉普拉斯方程 拉普拉斯方程,Laplace... ... )p-Laplace equationp-拉普拉斯方程) Laplace method 拉普拉斯方程法 ... www.dictall.com|基于3个网页
1)p-Laplacian equationP-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...
On a Class of Weighted p-Laplace Equation with Singular Nonlinearity Article 23 June 2020 Global C1,α regularity and existence of multiple solutions for singular p(x)-Laplacian equations Article 28 April 2017 A global second-order Sobolev regularity for p-Laplacian type equations with variabl...
%The following p-Laplace equation was studied -Δpu +V( x) u pu = f( x, u) , x∈RN. Since f( x, u) is odd and satisfies some increasing condition on u, and F( x, u) is superlinear on u near 0 in some ball in RN. Then the ( PS) condition is satisfied. By ...
The p-Laplace EquationIn this chapter we would like to consider in more details the Dirichlet problem for the p-Laplace operator, namely, if Ωis an open subset of n, 1 < p < +∞ the problem $$ \\left\\{ \\begin{gathered}...doi:10.1007/978-3-7643-9982-5_17Michel Chipot...
拉普拉斯方程（Laplace's equation）又称调和方程、位势方程，是一种偏微分方程，因由法国数学家拉普拉斯首先提出而得名。拉普拉斯方程表示液面曲率与液体表面压强之间的关系的公式。基本概述 一个弯曲的表面称为曲面，通常用相应的两个曲率半径来描述曲面，即在曲面上某点作垂直于表面的直线，再通过此线作一平面，此...