8 citations · 8 across the 4 of their papers we have counts for
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The Euler-Helfrich Functional
Bennett Palmer, Alvaro Pampano
We investigate equilibrium configurations for surface energies which contain the squared norm of the difference of the mean curvature H and the spontaneous curvature co…
Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries
Bennett Palmer, Alvaro Pampano
We study critical surfaces for a surface energy which contains the squared norm of the difference of the mean curvature and the spontaneous curvature , coupled to th…
Anisotropic umbilic points and Hopf's Theorem for surfaces with constant anisotropic mean curvature
Miyuki Koiso, Bennett Palmer
We show that for elliptic parametric functionals whose Wulff shape is smooth and has strictly positive curvature, any surface with constant anisotropic mean curvature which is a to…
Area minimization among marginally trapped surfaces in Lorentz-Minkowski space
Bennett Palmer
We study an area minimization problem for spacelike zero mean curvature surfaces in four dimensional Lorentz-Minkowski space. The areas of these surfaces are compared of with the a…