11 citations · 28 across the 10 of their papers we have counts for
11 papers
Symmetry Breaking Bifurcation of Membranes with Boundary
Bennett Palmer, Alvaro Pampano
We use a bifurcation theory due to Crandall and Rabinowitz to show the existence of a symmetry breaking bifurcation of a specific one parameter family of axially symmetric disc typ…
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…
Equilibrium Shapes of Cylindrical Rotating Liquid Drops
Bennett Palmer, Oscar Perdomo
See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear f…
Anisotropic Wavefronts and Laguerre Geometry
Bennett Palmer
Motivated by the study of wave fronts in anisotropic media, we propose an incidence geometry of anisotropic spheres in a Finsler-Minkowski space. An anisotropic version of the Lagu…
Rotating Drops with Helicoidal Symmetry
Bennett Palmer, Oscar Perdomo
See http://youtu.be/Mf4IE8gWcJs for a YouTube video showing part of the results in this paper. We consider helicoidal immersions in the Euclidean space whose axis of symmetry is th…