论文标题
关于非凸优化的二元性原理，用于超导性的应用，并且在非线性弹性中的模型有一些存在结果
On duality principles for non-convex optimization with applications to superconductivity and some existence results for a model in non-linear elasticity
论文作者
论文摘要
本文开发了适用于金茨堡 - 兰道系统的二元性原理。主要结果是通过凸分析，功能分析，变异和二元性理论的标准工具获得的。在第二部分中，我们介绍了该病例的一般结果，包括磁场和在当地极端情况下的各个磁力。最后，在最后一部分中，我们为弹性模型开发了一些全局存在结果。
This article develops duality principles applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory. In the second section, we present the general result for the case including a magnetic field and the respective magnetic potential in a local extremal context. Finally, in the last section we develop some global existence results for a model in elasticity.
