端点铰接曲线间弹性能的临界点
The critical points of the elastic energy among curves pinned at endpoints
摘要：
在本文中，我们找到的曲线，其长度是固定的，其端部被钉的弹性能量最小的曲线。应用打靶法，我们可以明确地识别所有的临界点，并确定哪条曲线是全局最小值。结果表明，临界点由波状弹性组成，极小值不存在任何环或内部拐点。
英文摘要：
In this paper we find curves minimizing the elastic energy among curves whose length is fixed and whose ends are pinned. Applying the shooting method, we can identify all critical points explicitly and determine which curve is the global minimizer. As a result we show that the critical points consist of wavelike elasticae and the minimizers do not have any loops or interior inflection points.
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。
