一类最优柔顺定位问题的渐近性
Asymptotics of an optimal compliance-location problem
摘要：
我们考虑的问题，将n个小球的给定半径在一定的区域受到一个力f，以尽量减少符合的配置。然后，我们让n趋于无穷大，并在适当缩放所涉及的泛函后，看看最小化问题的渐近性，以及球中心的极限分布。该问题与最优位置和形状最优化问题都有联系。
英文摘要：
We consider the problem of placing n small balls of given radius in a certain domain subject to a force f in order to minimize the compliance of the configuration. Then we let n tend to infinity and look at the asymptotics of the minimization problem, after properly scaling the functionals involved, and to the limit distribution of the centres of the balls. This problem is both linked to optimal location and shape optimization problems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
