论文标题
多项式变化不平等的维度
Dimension in Polynomial Variational Inequalities
论文作者
论文摘要
纸的目的是双重的。首先，通过使用差分几何形状的恒定秩水平设置定理，我们为在轻度条件下多项式变异不平等的溶液集建立了尖锐的上限。其次，引入并研究了基于溶液集的维度的多项式变异不等式的分类。提供了几个说明性示例。
The aim of the paper is twofold. Firstly, by using the constant rank level set theorem from differential geometry, we establish sharp upper bounds for the dimensions of the solution sets of polynomial variational inequalities under mild conditions. Secondly, a classification of polynomial variational inequalities based on dimensions of their solution sets is introduced and investigated. Several illustrative examples are provided.
