论文标题
在Lagrange乘数定理上，用于在Banach空间中针对大型变异模型的非平滑型优化
On Lagrange multiplier theorems for non-smooth optimization for a large class of variational models in Banach spaces
论文作者
论文摘要
本文为大量非平滑变异模型开发了最佳条件。主要结果是基于功能分析和变异计算的标准工具。首先，我们解决了一个具有平等约束的模型，在第二步中，我们总是在Banach空间上下文中，具有平等和不平等约束的更通用模型。我们通常强调了结果众所周知，但是，引入了一些与证明程序有关的新颖性，这些新颖性通常比目前的文献柔和。
This article develops optimality conditions for a large class of non-smooth variational models. The main results are based on standard tools of functional analysis and calculus of variations. Firstly we address a model with equality constraints and, in a second step, a more general model with equality and inequality constraints, always in a general Banach space context. We highlight the results in general are well known, however, some novelties are introduced related to the proof procedures, which are in general softer than those concerning the present literature.
