论文标题
环形类型表面具有固定边界和规定的,几乎恒定的平均曲率
Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature
论文作者
论文摘要
我们证明了环形类型参数表面的存在和不存在的结果,其规定,几乎恒定的平均曲率,以$ \ Mathbb {r}^{3} $的紧凑部分或nodoids的紧凑部分的正常图为特征,并且其边界与同一radius的两个同时圈子相同。
We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in $\mathbb{R}^{3}$, and whose boundary consists of two coaxial circles of the same radius.