Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature

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2024年1月25日

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Paolo Caldiroli,
Gabriele Cora,
Alessandro Iacopetti

摘要

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 ${\mathbb {R}}^{3}$ $R^{3}$ , and whose boundary consists of two coaxial circles of the same radius.