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The nodal line of the second eigenfunction of the Robin Laplacian in $\mathbb{R}^2$ can be closed
Laplacian eigenfunction nodal line Robin boundary
2010/12/13
We construct a multiply connected domain in R2 for which the second eigenfunction of the Laplacian with Robin boundary condi-tions has an interior nodal line. In the process, we adapt a bound of Donne...
利用单调迭代方法得到了无穷区间上具有$p$-Laplacian算子的脉冲微分方程多点边值问题单调迭代正解的存在性, 同时也给出了解的相应迭代序列.
Triple positive solutions of four-point singular boundary value problems for p-Laplacian dynamic equations on time scales
Time scales Four-point singular boundary value problems
2010/9/15
Let T be a time scale. We study the existence of three positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian operator on time scales. Some new results are ob...
利用单调迭代方法得到了无穷区间上具有pLaplacian算子的微分方程边值问题迭代正解的存在性, 同时 也得到了解的相应迭代序列。
一类pLaplacian多点边值问题单调迭代正解的存在性
pLaplacian 多点边值问题 单调迭代方法 锥
2009/12/23
利用单调迭代方法获得了一类pLaplacian多点边值问题的正解迭代程序,这些迭代程序是从常值或者一次函数开始,是可行且有效的。文中还举了例子,进一步证实本文理论的严密性和可行性。
The large class of moving boundary processes in the plane modeled by the so-called Laplacian growth, which describes, e.g., solidification, electrodeposition, viscous fingering, bacterial growth, etc....
On some special solutions to periodic Benjamin-Ono equation with discrete Laplacian
Benjamin-Ono equation nonlocal integrable system Macdonald polynomial integrals of motion
2010/4/8
We investigate a periodic version of the Benjamin-Ono (BO) equation associated with a discrete Laplacian. We find some special solutions to this equation, and calculate the values of the first two int...
应用锥拉伸和锥压缩不动点理论讨论了含p-Laplacian算子的高阶微分方程组边值问题多个正解的存在性.
具p-Laplacian非线性奇异边值系统正解的存在性
p-Laplacian算子 奇异边值系统 正解
2009/11/19
研究了下面带有p-Laplacian算子的非线性奇异边值系统:(фp(u'i))'+ai(t)fi(u1,u2)=0, 0＜t＜1,αiфp(ui(0))-βiфp(u'i(0))=0, γiфp(ui(1))+δiфp(u'i(1))=0,(i=1,2)正解的存在性。其中фp(s)为p-Laplacian 算子，即фp(s)=|s|p-2s, p>1, (фp)-1=фq,1/p+1/q=1, ...
p-Laplacian算子型奇异边值问题的正解
p-Laplacian算子 锥 奇异边值问题 正解
2009/10/22
运用锥拉伸压缩原理，讨论了一类具有p-Laplacian算子型的非线性奇异边值问题正解的存在性，并对所得结果给出了一些应用和例子．
本文应用凸锥上的一个不动点定理, 讨论了一类三阶$p$-Laplacian方程三点奇异边值问题在非线性项依赖于未知函
数的一阶导数的情况下正解的多重性, 得到了这类边值问题至少存在三个正解的充分条件, 并给出了一个实例.
一类一维p-Laplacian 算子两点边值问题的正解个数
p-Laplacian 算子 两点边值问题 正解
2009/9/21
讨论了一类含有一维p-Laplacian算子的两点边值问题正解的个数.
Global Estimates in Orlicz Spaces for p-Laplacian Systems of in R^N
Orlicz space Global Gradient p-Laplacian system
2015/5/4
Abstract. In this paper we obtain global estimates in Orlicz spaces for weak solutions of p-Laplacian systems in R N for N ≥ 2. Our results improve the known results for such problems.
On polygonal domains with trigonometric eigenfunctions of the Laplacian under Dirichlet or Neumann boundary conditions
polygonal domains trigonometric eigenfunctions
2010/9/14
A classification of all polygonal domains possessing a complete set of trigonometric eigenfunctions of the Laplacian under either Dirichlet or Neumann boundary conditions is developed. Polygonal domai...
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator
Positive solution Fixed point p-Laplacian
2010/9/14
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator