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Symmetric solutions of the singular minimal surface equation
Annals of Global Analysis and Geometry ( IF 0.7 ) Pub Date : 2021-06-21 , DOI: 10.1007/s10455-021-09785-2 Ulrich Dierkes , Nico Groh
中文翻译:
奇异极小曲面方程的对称解
更新日期:2021-06-21
Annals of Global Analysis and Geometry ( IF 0.7 ) Pub Date : 2021-06-21 , DOI: 10.1007/s10455-021-09785-2 Ulrich Dierkes , Nico Groh
We classify all rotational symmetric solutions of the singular minimal surface equation in both cases \(\alpha <0\) and \(\alpha >0\). In addition, we discuss further geometric and analytic properties of the solutions, in particular stability, minimizing properties and Bernstein-type results.
中文翻译:
奇异极小曲面方程的对称解
我们在\(\alpha <0\)和\(\alpha >0\)两种情况下对奇异最小表面方程的所有旋转对称解进行分类。此外,我们进一步讨论了解的几何和解析特性,特别是稳定性、最小化特性和 Bernstein 类型的结果。