然后根据这个估计式，将问题化成求解一个条件变分问题。
Using this estimate, it may be simplified to solve a problem of the conditional variation.
文中引入了一类广义不变凸函数，对一类变分问题给出了最优解的充分性条件以及对偶理论。
The generalized invex functions are introduced and the optimality theorems and duality theory are established for a class of variational problems.
提出了一个包括界面条件及间断面条件在内的混合边值问题的广义变分原理，建立了极限载荷乘子的变分解析公式。
A generalized variational principle involving conditions of the rigid-plastic interface and the discontinuous surface of a velocity field has been put forward for the mixed-boundary value problem.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案，关键问题是如何构造伴随模式。
The key problem of four-dimensional variational data assimilation method, which solves the constraining numerical predict equations through accompanied model, is how to establish an accompanied model.
介绍了三维接触问题的变分原理，推导了接触问题有限元计算公式，讨论了边界接触模式和接触条件。
The variation principle of the 3-D contact problem is introduced, the related formulas based on the finite element method are derived, and the contact mode and condition of the boundary are discussed.
本文是采用变分估计方法考虑一类椭圆方程在临界指数和自由边界条件下解的存在性问题。
This papar deals with the problem of solution's existence about elliptic equation under limiting exponents and free boundary problem by variational evaluation methods.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案 ，关键问题是如何构造伴随模式。
The four-dimensional data assimilation is to integrate the current and past data into a forecast model equation for providing time continuity and dynamic coupling.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案 ，关键问题是如何构造伴随模式。
The four-dimensional data assimilation is to integrate the current and past data into a forecast model equation for providing time continuity and dynamic coupling.
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