Search Results - "Palmer, Bennett"

Refine Results
  1. 1

    A version of Krust's theorem for anisotropic minimal surfaces by Palmer, Bennett

    “…We generalize Krust’s theorem to an anisotropic setting by showing the following. If \Sigma is an anisotropic minimal surface in an axially symmetric normed…”
    Get full text
    Journal Article
  2. 2

    Stable surfaces with constant anisotropic mean curvature and circular boundary by KOISO, MIYUKI, PALMER, BENNETT

    “…We show that for an axially symmetric anisotropic surface energy, only stable disc-type surfaces with constant anisotropic mean curvature bounded by a circle…”
    Get full text
    Journal Article
  3. 3
  4. 4
  5. 5

    Stability of spherically confined free boundary drops with line tension by Palmer, Bennett

    Published in Annals of global analysis and geometry (01-03-2020)
    “…We study the geometry of a stable drop of incompressible liquid constrained to lie in a spherical container. The energy functional is comprised of the surface…”
    Get full text
    Journal Article
  6. 6

    Stability of anisotropic capillary surfaces between two parallel planes by Koiso, Miyuki, Palmer, Bennett

    “…We study the stability of capillary surfaces without gravity for anisotropic free surface energies. For a large class of rotationally symmetric energy…”
    Get full text
    Journal Article
  7. 7

    Symmetry breaking bifurcation of membranes with boundary by Palmer, Bennett, Pámpano, Álvaro

    Published in Nonlinear analysis (01-01-2024)
    “…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…”
    Get full text
    Journal Article
  8. 8

    Stability of the Wulff shape by Palmer, Bennett

    “…We consider the functional of a hypersurface, given by a convex elliptic integrand with a volume constraint. We show that, up to homothety and translation, the…”
    Get full text
    Journal Article
  9. 9

    The Euler–Helfrich functional by Palmer, Bennett, Pámpano, Álvaro

    “…We investigate equilibrium configurations for surface energies which contain the squared L 2 norm of the difference of the mean curvature H and the spontaneous…”
    Get full text
    Journal Article
  10. 10

    Higher order variations of constant mean curvature surfaces by Koiso, Miyuki, Palmer, Bennett

    “…We study the third and fourth variation of area for a compact domain in a constant mean curvature surface when there is a Killing field on R 3 whose normal…”
    Get full text
    Journal Article
  11. 11

    Stability of Membranes by Palmer, Bennett, Pámpano, Álvaro

    Published in The Journal of geometric analysis (01-11-2024)
    “…In Palmer and Pámpano (Calc Var Partial Differ Equ 61:79, 2022), the authors studied a particular class of equilibrium solutions of the Helfrich energy which…”
    Get full text
    Journal Article
  12. 12

    ON THE GAUSSIAN CURVATURE OF MAXIMAL SURFACES AND THE CALABI–BERNSTEIN THEOREM by ALÍAS, LUIS J., PALMER, BENNETT

    “…In this paper, a new approach to the Calabi–Bernstein theorem on maximal surfaces in the Lorentz– Minkowski space L3 is introduced. The approach is based on an…”
    Get full text
    Journal Article
  13. 13

    Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries by Palmer, Bennett, Pámpano, Álvaro

    Published in Journal of nonlinear science (01-02-2021)
    “…We study critical surfaces for a surface energy which contains the squared L 2 norm of the difference of the mean curvature H and the spontaneous curvature c o…”
    Get full text
    Journal Article
  14. 14

    Area minimization among marginally trapped surfaces in Lorentz–Minkowski space by Palmer, Bennett

    “…We study an area minimization problem for spacelike zero mean curvature surfaces in four dimensional Lorentz–Minkowski space. The areas of these surfaces are…”
    Get full text
    Journal Article
  15. 15

    A duality result between the minimal surface equation and the maximal surface equation by ALÍAS, LUIS J., PALMER, BENNETT

    Published in Anais da Academia Brasileira de Ciências (01-06-2001)
    “…In this note we show how classical Bernstein's theorem on minimal surfaces in the Euclidean space can be seen as a consequence of Calabi-Bernstein's theorem on…”
    Get full text
    Journal Article
  16. 16

    Axially symmetric volume constrained anisotropic mean curvature flow by Palmer, Bennett, Zhu, Wenxiang

    “…We study the long time existence theory for a non local flow associated to a free boundary problem for a trapped non liquid drop. The drop has free boundary…”
    Get full text
    Journal Article
  17. 17

    Anisotropic bending energies of curves by Palmer, Bennett, Pámpano, Álvaro

    Published in Annals of global analysis and geometry (01-03-2020)
    “…We study the shape of an elastic rod subject to both bending and twisting, when the rod’s resistance to bending depends on the direction of the deformation. In…”
    Get full text
    Journal Article
  18. 18

    Anisotropic Umbilic Points and Hopf's Theorem for Surfaces with Constant Anisotropic Mean Curvature by Koiso, Miyuki, Palmer, Bennett

    Published in Indiana University mathematics journal (01-01-2010)
    “…We show that for elliptic parametric functionals whose Wulff shape is smooth and has strictly positive curvature, any surface with constant anisotropic mean…”
    Get full text
    Journal Article
  19. 19

    Equilibrium shapes of cylindrical rotating liquid drops by Palmer, Bennett, Perdomo, Oscar M.

    “…We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the vertical axis. We restrict…”
    Get full text
    Journal Article
  20. 20

    Equilibria for anisotropic surface energies with wetting and line tension by Koiso, Miyuki, Palmer, Bennett

    “…We study the stability of surfaces trapped between two parallel planes with free boundary on these planes. The energy functional consists of anisotropic…”
    Get full text
    Journal Article