Considered is a variational problem for the bending energy of closed surfaces under the prescribed area and surrounding volume. Minimizers of this problem are interpreted as surfaces modeling the shape of red blood cells. We give a rigorous proof of the existence of a one-parameter family of critical points bifurcating from the sphere and study their stability/instability. In particular, for a few branches of critical points, we compute the exact values of the index and the nullity of critical points.
|Number of pages||49|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 2003 Jan 1|
ASJC Scopus subject areas
- Applied Mathematics