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We study the existence of nonlinear elliptic equation by variational method and critical point theory, combined with sub- and sup-solution method.

第二章我们考虑非线性椭圆方程和带有局部p-凹凸非线性项的p-Laplace方程解的存在性,其中λ是正参数,0<p<1<q。

For fourth order p-biharmonic elliptic equation with Dirichiet boundary conditions, a new Pohozaev type identity is established.

对于具有Dirichlet边界条件的四阶p-双调和椭圆方程,建立了一个新的Pohozaev恒等式。

This paper presents a method for 3D twist blade curved surface design based on the elliptic equations using Partial Differential Equation solutions.

本文以偏微分方程造型为基础,提出了一种基于椭圆型方程的扭叶片三维型面直接设计方法,详细推导了叶型曲面函数,给出了型面方程的求解及其前后缘修正。

Based on the principle of homogeneous balance, these equations were resolved by Jacobi elliptic function expansion method.

根据齐次平衡原理,用Jacobi椭圆函数展开对这些演化方程进行了求解,在一定的条件下它们均可能存在孤立波解或冲击波解,这与方程的定性分析完全一致。

Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.

将改进的Jacobi椭圆函数展开法应用到Zakharov方程,比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解)。这种方法也适用于其他非线性方程或方程组

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function.

利用齐次平衡原则和F-展开法,求出了一个五阶变系数KdV-like方程的一些用Jacobi椭圆函数表示的双周期解。

Feng Qi and Bai-Ni Guo, Estimate for upper bound of an elliptic integral , Shuxue de Shijian yu Renshi 26 (1996), no.

祁锋,郭白妮,一个全椭圆积分的上界估计,数学的实践与认识 26 (1996), no。

Making use of the space vector method, this article sets up two coordinate numeric control grinding motion model of elliptic taper piston, and researches on the law of error compensation for the systematic motion after dressing grinding wheel.

用空间矢量方法建立了椭圆锥体活塞的两坐标数控磨削运动模型,研究了砂轮修整后应对系统运动进行的误差补偿规律。

The attraction of the other planets could then explain the deviation of the motion of the planet from the elliptic orbit.

其它行星的吸引可以用来解释行星运动椭圆轨道的偏离。

Chaos and its control in the planar libration of a magnetic rigid spacecraft with internal damping in an elliptic orbit are investigated.

研究在具有内阻尼的磁性刚体航天器在椭圆轨道上平面天平动的混沌及其控制。

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