能量不等式 meaning in English

energetic inequality
energy inequality

In the last part of this chapter , we will summarize the main results of existence , uniqueness and regularity for solution of such kind of problems . in chapter ii , we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft , which is homeomorphic to the cylindrical surface
使用椭圆正则化方法分别在每个区域上讨论dirichlet问题，即先构造辅助问题，并建立辅助问题的能量不等式，然后由紧性推理方法，利用辅助问题的解的某种收敛性来得到原问题的弱解存在性。
The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation , as well as other geometry problem , such as minimal surface in hyperbolic space . in particular , the existence of solution with high order regularity is very important to investigate geometry problems . one would like to know under what conditions the solution of such equations are as smooth as the given data
通过构造辅助边值问题，建立了各种能量不等式，并利用这些先验估计，以及banach - saks定理得到了h ~ 1弱解存在性；利用退化椭圆型方程弱解与强解的一致性和已知的先验估计，还得到h ~ 1弱解的唯一性。