Willmore Minimizers with Prescribed Isoperimetric Ratio

By Johannes Schygulla. 2011

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Motivated by a simple model for elastic cell membranes, we minimize the Willmore functional among two-dimensional spheres embedded in $${\mathbb R^3}$$ with prescribed isoperimetric ratio.

Subfields: Applied Mathematics, Cell Biology

View Paper: https://www.semanticscholar.org/paper/6dc425231fd30f9e63f0005cdd5745a99c9b8348