查询词典 semilinear

The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.

在前言中，简要介绍了变分法的产生、发展过程，在第二章中我们介绍了有关变分法的一些基本知识，包括Sobolev空间，—△算子，弱解，极小化序列方法和一些极小极大定理，在第三章中我们介绍了非线性项有界或满足次线性条件，以及它满足推广的Ahmad-Lazer-Paul条件时，二阶Hamiltonian系统和半线性椭圆问题的研究历程，最后在第四章中我们证明了本论文的主要定理，并把它应用到第三章的问题中，使得前面的几种共振的情形都可以统一到这个抽象的结果中。

In the rest of this dissertation, we apply our above abstract results,"global Morse theory"and other critical point theorems to some semilinear resonant elliptic boundary value problems as well as some asymptotically"linear"or super"linear"p-Laplacian equations, and obtain the existence or multiplicity of solutions.

在后半部分，我们运用上面的抽象结果，以及大范围Morse理论和其他临界点理论，研究一些半线性椭圆共振问题的多重解的存在性，以及一些渐近线性或超线性p-Laplacian方程的解的存在性或多重性。

We cosider a class of semilinear elliptic systems with the Neumann boundary value condition by using variational methods, two existences theorem are proved for under critical exponents and critical exponents.

利用变分法讨论了一类带Neumann边界条件的半线性椭圆方程正解的存在性，并得到了在下临界指标时的两个存在性定理。

Then we prove the existence and uniqueness of classical plurisubharmonic solutions for complex Monge-Ampere equations subject to the semilinear oblique boundary problem in the certain strictly pseudoconvex domain.

第一章我们简要概述复Monge-Ampere方程的研究背景，进展以及本文所研究的问题，运用的方法和若干结果。

This paper deals with the existence and nonexistence of solutions for a critical semilinear polyharmonic equation with a non-negative perturbation.

李爱翠 ，黄力民，曾宪忠讨论了带非负扰动的临界非齐次多重调和方程多解存在性和非存在性。

The main aim of this thesis is to study some boundary value problems for complex Monge-Ampere equations ,which contain the semilinear oblique boundary problem,infinite boundary value problem and Dirichlet boundary problem in some special domain that is not strictly pseudoconvex.

近20年来，对于复Monge-Ampere方程的研究已经取得了丰硕的成果。

The contents of this paper are as follows:Firstly, we study the following semilinear elliptic equation with Dirichlet boundaryvalue problem:in the subcritical growth case we obtain at least two nontrival solutions by using the three-critical-point theorem and the reduction method.

我们首先研究下面半线性椭圆方程Dirichlet边值问题：在次临界增长情况下，利用变分方法中的归约方法和三临界点定理，得到了方程至少有两个非平凡解。

In this paper,we are devoted to the insensitizing controls for a semilinear heat equation.

本文系统的介绍了半线性热方程的不灵敏控制问题。

The third part is the controllability of semilinear heat equation .

第三部分写的是，半线性热方程的能控性。

The main characteristics of linear compression is on various halftoning section of the adjustment of the scale, semilinear

线性压缩的主给特征是不对各阶调段等比例的调动，线性

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。