查询词典 Monge

Then we obtain the existence and nonexistence of the solutions for complex Monge-Ampere equation and Hessian equations with infinite boundary value in the certain bounded domain in Cn.

第三章我们先介绍郑绍远与丘成桐在研究非紧复流行上的复Kahler度量的存在性时的主要工作，然后通过构造径向闸函数的方法来讨论凸域上的复Monge-Ampere方程以及复Hessian方程边界爆破问题解的存在性。

In the present paper,we first investigate the following initial-boundary valueproblem of parabolic Monge-Ampere equation〓 in 〓(1)〓 on 〓(2)where Ω is a bounded convex domain in 〓 denotes the parabolic boundaryof Q,and second give a preliminary probe into the initial value problem of aspecial kind of parabolic Monge-Ampere equation which comes from the theoryof optimal investment in mathematical finance.

本文首先讨论如下抛物型Mongc-Ampère方程的第一初边值问题〓（1）〓（2）其中〓为〓中的有界凸区域，〓为Q的抛物边界，然后针对一种在数学金融学的最优投资理论中导出的特殊形式的抛物型Monge-Ampère方程的初值问题进行了初步的探讨。

In present paper how to get the solutionof dirichlet's problem of complex monge-amp'ere equation on the cartan-hartogs domainof the first type is discussed by using the analytic method.

但它的求解，尤其是高阶的求解非常困难。这篇文章就第一型的cartan-hartogs域上关于dirichlet问题的复monge-ampere方程进行讨论。

In present paper how to get the solutionof dirichlet's problem of complex monge-amp'ere equation on the cartan-hartogs domainof the second type is discussed by using the analytic method.

但它的求解，尤其是高阶的求解非常困难。这篇文章就第二型的cartan-hartogs域上关于dirichlet问题的复monge-ampere方程进行讨论。

If 〓 is an absolutely continuousmeasure and is represented by a measurable function f on Q,then u is said tobe the generalized solution of(1),and 〓 to be the parabolic Monge-Amperemeasure.

定义1由legendre变换定义了一个Q上的测度〓（4）其中〓为〓空间中的Lebesgue测度，若〓是一个绝对连续测度且在Q上由可测函数〓表示，则称u为方程（1）的广义解、称测度〓为抛物型Monge-Ampère测度。

Construction of the prototype began in 1938 at the Bugatti factory in collaboration with de Monge.

原型机的制造开始于1938年，在De Monge的协助下在Bugatti工厂开始。

Neither Monge nor Carnot, who also used the principle, gave any justification of it.

无论Monge还是Carnot都没有提出过任何根据。

In 2000,Zhou Wenshu gained the existence and uniqueness of the strict convex classical solutions of the third initial-boundary value problems of the Monge - Ampere.

2000年，周文书[10]得到了如下形式的抛物型Monge-Ampère方程的第三初边值问题严格凸古典解的存在唯一性本文的目的是把[10]的结果进行一般性的推广，考虑下列非线性抛物型Hessian方程的第三初边值问题抛物型H。

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。

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 split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。