On the areas of genus zero free boundary minimal surfaces embedded in the unit 3-ball
P McGrath, J Zou - The Journal of Geometric Analysis, 2024 - Springer
We prove that the area of each nonflat genus zero free boundary minimal surface embedded
in the unit 3-ball is less than the area of its radial projection to S 2. The inequality is …
in the unit 3-ball is less than the area of its radial projection to S 2. The inequality is …
A symmetry condition for genus zero free boundary minimal surfaces attaining the first eigenvalue of one
DH Seo - arXiv preprint arXiv:2409.14718, 2024 - arxiv.org
An embedded free boundary minimal surface in the 3-ball has a Steklov eigenvalue of one
due to its coordinate functions. Fraser and Li conjectured that whether one is the first …
due to its coordinate functions. Fraser and Li conjectured that whether one is the first …
Estimates for the Constant Mean Curvature Dirichlet Problem on Catenoids
SJ Kleene - arXiv preprint arXiv:2308.04257, 2023 - arxiv.org
In this article, we solve the constant mean curvature dirichlet problem on catenoidal necks
with small scale in $\mb {R}^ 3$. The solutions are found in exponentially weighted H\" older …
with small scale in $\mb {R}^ 3$. The solutions are found in exponentially weighted H\" older …
[引用][C] A conformal uniqueness of the critical catenoid
I Domingos, R Santos, F Vitório - arXiv e-prints, 2023 - ui.adsabs.harvard.edu
A conformal uniqueness of the critical catenoid - NASA/ADS Now on home page ads icon ads
Enable full ADS view NASA/ADS A conformal uniqueness of the critical catenoid Domingos …
Enable full ADS view NASA/ADS A conformal uniqueness of the critical catenoid Domingos …