Abstract
We study the geometry of surfaces which are in equilibrium for a (constant coefficient) parametric elliptic functional with a volume constraint. We consider the first and second variations and the exceptional set of the Gauss map for such surfaces. The equilibrium surfaces of revolution (anisotropic Delaunay surfaces) are also discussed as is an anisotropic version of the Willmore functional.
Original language | English |
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Pages (from-to) | 1817-1852 |
Number of pages | 36 |
Journal | Indiana University Mathematics Journal |
Volume | 54 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jan 1 2005 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)