1 citations · 1 across the 4 of their papers we have counts for
4 papers
Constant Mean Curvature surfaces with prescribed finite topologies
Stephen. J. Kleene
In this article, we construct complete embedded constant mean curvature surfaces in $\mb{R}^3$ with freely prescribed genus and any number of ends greater than or equal to four. He…
Estimates for the Constant Mean Curvature Dirichlet Problem on Catenoids
Stephen J. Kleene
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 Hölder…
Minimal laminations with prescribed convex curvature blowup
Stephen J. Kleene
We construct minimal laminations with prescribed singularities on a line segment using perturbation techniques and PDE methods. In addition to the singular set, the rate of curvatu…
Non-compact families of complete, properly immersed minimal immersions with fixed topology via desingularization
Stephen J. Kleene, Niels Martin Moller
For fixed large genus, we construct families of complete immersed minimal surfaces in R3 with four ends and dihedral symmetries. The families exist for all large genus and at an ap…