1) u-p formulation
u-p方程
1.
The analytical solution of 1-D harmonic response in saturated soil, derived in the companion paper[1], is used in the research of individual contributions of two compression waves, wave velocity and the applicable scale of u-p formulation in saturated soil.
将相关论文[1]中得到的饱和土一维简谐响应解析解,应用到饱和土中两类压缩波的独立作用、饱和土中波的传播速度、u-p方程的适用范围等研究中。
2) P-R equation
P-R方程
3) 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:。
4) 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-Laplacian equation
p-Laplacian方程
1.
Existence of positive solutions for the p-Laplacian equation m-point boundary value problems with derivative;
一类含导数的p-Laplacian方程m-点边值问题的正解存在性
2.
Solvability of a certain p-Laplacian equation;
一类p-Laplacian方程的可解性
3.
Eigenvalue problem of p-Laplacian equations in weighted Sobolev space
加权p-Laplacian方程的特征值问题
补充资料：Abel微分方程
Abel微分方程
Abel differential equation
Abd徽分方程!Abel山反比n‘ai equ浦佣;A血朋朋中扣巴-冈阳.压旧日傲比”娜圈le皿ej 常微分方程 .、‘一f0(x)十一f，(x沙一十_八(x妙2十fa(、沙’(第一类A比1微分方程)或 【头(x)十头(x)y卜二/。(x)一十fl(x妙 七八(*沙‘、一儿(x沙3(第二类A比}微分方程).这些方程是N.H.Abel研究椭圆函数论时出现的(见【1」).第一类Abel微分方程是R沁国‘方程(RIOCati明比6‘扣)的自然推广. 如果人(x)‘〔‘(a，b)，尹2(x)和儿(x)‘C’(a，b)，且当x任l。，b1时j。(x)护0，则第一类A忱l微分方程通过变量变换可以化为标准形式d了dt=:3+中(t)(12])在一般情况一F第一类Abel微分方程不能以封闭形式进行积分，虽然在一些特殊情况下是可能的(12]).如果a。(x)和91(x)〔Cl(a，b)，而g，(劝务09。(x)+g、(义)y淤0，则第二类周比微分方程通过变换g。(对+g，(劝y二l厂:，可以化为第一类月艾l微分方一程. 可以在复数域中详细研究第一类和第二类泌七纽微分方程及其推广 少’二公(x)y’，厂艺gj(x洲=艺厂(x)y’ 古二OJ=01=0(例如，见【31)·
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条