Bennett Palmer's Home Page

e-mail:
palmbenn@isu.edu

Links to course webpages:

Calculus III Math- 2275

Linear Algebra

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RECENT PAPERS/PREPRINTS

  • Minimal surfaces with elastic and partially elastic boundary .
    preprint (with Alvaro Pampano)
    PDF

  • Stability of spherically confined drops with wetting and line tension .
    Annals of Global Analysis and Geometry, Vol 57, no. 2, 2020
    PDF

  • Anisotropic bending energies of curves .
    Annals of Global Analysis and Geometry, Vol 57, no. 2, 2020
    (with Alvaro Pampano) PDF

  • Classification of planar anisotropic elasticae .
    Growth and Form, Volume 1, issue 1, 2020
    (with Alvaro Pampano) PDF

  • Higher order variations of constant mean curvature surfaces .
    Calculus of Variations and Partial Differential Equations, 56.6 2017
    (with Miyuki Koiso) PDF

  • Stability and bifurcation for surfaces of constant mean curvature,
    J. Math. Soc. Japan, Vol. 69, no. 4, 2017
    (with Miyuki Koiso and Paolo Piccione) PDF

  • Bifurcation and symmetry breaking of nodoids with fixed boundary,(with Miyuki Koiso and Paolo Piccione ),
    Advances in the Calulus of Variations, Vol. 8, Issue 4, 2015(with Miyuki Koiso and Paolo Piccione )
    PDF

  • Remarks on a convergent flow for marginally trapped surfaces in Lorentz-Minkowski space
    Journal of Mathematical Physics 56, 013501 (2015)
    PDF

  • Anisotropic Wavefronts and Laguerre Geometry
    Journal of Mathematical Physics 56, 023503 (2015)
    PDF

  • Rotating drops with helicoidal symmetry (with Oscar M. Perdomo)
    Pacific Journal of Math Vol. 273, No. 2, 2015
    PDF

  • Equlibrium shapes of cylindrical rotating liquid drops Preprint, (with Oscar M. Perdomo)
    to appear in Bulletin of the Brazilian Math. Society
    PDF

  • Axially symmetric volume constrained anisotropic mean curvature flow
    PDF ( with Wenxiang Zhu)
    Calculus of Variations and P.D.E.,Volume 50, 2014, Issue 3-4 , pp 639-663

  • Stable surfaces with constant anisotropic mean curvature and circular boundary
    PDF(with Miyuki Koiso) , Proc. Amer. Math. Soc. 141 (2013), 3817-3823

  • Stable closed equilibria for anisotropic surface energies: Surfaces with edges
    PDF Journal of Geometric Mechanics Vol. 4, no. 1, 2012 89-97.

  • Equilibria for anisotropic surface energies with wetting and line tension
    PDF ( with Miyuki Koiso) Calculus of Variations and Partial Differential Equations.volume 43, March 2012, 555-587.

  • Area minimization among marginally trapped surfaces
    PDF .
    Calculus of Variations and Partial Differential Equations: Volume 41, Issue 3 (2011).

  • Helicoidal surfaces with constant anisotropic mean curvature
    PDF ( with Chad Kuhns ) Journal of Mathematical Physics 52, 073506 (2011)

  • Anisotropic umbilic points and Hopf's Theorem for surfaces with constant anisotropic mean curvature
    PDF ( with Miyuki Koiso) Indiana Univ. Math. J. 59 (2010), no. 1, 79--90

  • Stability of non liquid bridges
    PDF ( with Josu Arroyo and Miyuki Koiso) Matematica Contemporanea, Vol 40, 243-260

  • Anisotropic surface energy
    Proceedings of the Symposium on Riemenn Surfaces, Harmonic Maps and Visualization
    Osaka City University, 2009. ( with Miyuki Koiso)
    PDF

  • Eqilibria for anisotropic bending energies
    PDF J. Math. Phys., Vol. 50, no. 2, 2009.

  • Equilibria for anisotropic energies and the Gielis Formula
    ( Forma, Vol. 23, no. 1, 2008), ( with Miyuki Koiso).
    PDF

  • A uniqueness theorem for stable anisotropic capillary surfaces
      ( with Miyuki Koiso)
    SIAM Journal on Mathematical Analysis, 2007, Vol. 39, no. 3, 721-741 PDF

  • Rolling Construction for Anisotropic Delaunay Surfaces
    ( with Miyuki Koiso)
    PDF Pacific J. of Math., 2008, no. 2, 345-378.

  • Variational Problems which are Quadratic in the Surface Curvatures
    PDF
    Curvature and Variational Modeling in Physics and Biophysics

  • Stability of anisotropic capillary surfaces between parallel planes.
    ( with Miyuki Koiso)
    Calculus of Variations and Partial Differential Equations, 2006, Vol. 25, no. 3, 275-298. PDF

  • Anisotropic capillary surfaces with wetting energy
    ( with Miyuki Koiso)
    Calculus of Variations and Partial Differential Equations, 2007, Vol. 29, no. 3, 295-345. PDF

  • Geometry and Stability of surfaces with constant anisotropic mean curvature. PDF
    Indiana Univ. Math. J., 54, issue 6, 2005 ( with Miyuki Koiso)

  • Geometry and Stability of Bubbles with Gravity,
    (Indiana Univ. Math. J. 54 No. 1 (2005), 65-98) ( with Miyuki Koiso )
    PDF

  • On a variational problem for soap films with gravity and partially free boundary,
    ( with Miyuki Koiso)
    Journal of the Mathematical Society of Japan, 57 (2005), no. 2, 333--355 PDF

  • Uniqueness Theorems for Willmore Surfaces with Fixed and Free Boundaries,
    ( Indiana University Math. J.,49(2000) no. 4)
    PDF

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