Lawson锥是$A_Φ$ -最小化的叶理证明
A proof by foliation that Lawson's cones are $A_Φ$-minimizing
摘要：
本文利用叶理证明了$\mathbb{S}^k \times \mathbb{S}^l$上的锥对每个$k,\,l \geq 1$都极小化参数椭圆泛函。我们还分析了在无限远的行为的叶理中的叶子。这一分析激发了与极小曲面型方程的非线性整体解的存在性和增长率有关的问题，这些问题是在研究此类泛函时出现的。
英文摘要：
We give a proof by foliation that the cones over $\mathbb{S}^k \times \mathbb{S}^l$ minimize parametric elliptic functionals for each $k,\,l \geq 1$. We also analyze the behavior at infinity of the leaves in the foliations. This analysis motivates conjectures related to the existence and growth rates of nonlinear entire solutions to equations of minimal surface type that arise in the study of such functionals.
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。
