具有自由边界的极小曲面与Cheeger型问题的校准
Calibration for minimal surfaces with free boundary and Cheeger-type problems
AI总结：
本文研究自由边界极小曲面的非凸极小化问题，通过构造校准场和割迹势显式求解Cheeger问题变体以刻画最优解并确立下确界上界。
摘要：
我们研究具有自由边界的极小曲面问题，将其表述为非凸极小化问题。我们的目标是通过寻找合适的校准场来刻画最优解。下确界的一个自然上界由Cheeger问题的一个变体给出，我们通过构造割迹势显式求解该变体并证明其最优性。随后详细讨论了与原始问题的比较。
英文摘要：
We study a problem of minimal surfaces with free boundary written in the form of a non convex minimization problem. Our aim is to characterize optimal solutions by finding a suitable calibration field. A natural upper bound of the infimum is given by a variant of the Cheeger problem that we solve explicitly proving the optimality thanks to the construction of a cut-locus potential. The comparison with the original problem is then discussed in detail.
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。
