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RECENT PAPERS/PREPRINTS

Stable closed equilibria for anisotropic surface energies: Surfaces with edges
PDF

Axially symmetric volume constrained anisotropic mean curvature flow
PDF ( with Wenxiang Zhu)

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)

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

CONFERENCE ON VARIATIONAL PROBLEMS FOR CURVES AND SURFACES AND RELATED TOPICS

TALK SLIDES

Eqilibrium shapes for anisotropic surface energies

Area minimization among marginally trapped surfaces

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