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RECENT PAPERS/PREPRINTS

Area minimization among marginally trapped surfaces
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

Anisotropic capillary surfaces
Symposium Valenciennes 2007 ( with Miyuki Koiso)
PDF

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

On the area of constant mean curvature discs and annuli with circular boundaries
with Luis Alías:
( Math. Zetischrift 237(2001)no. 3)
PDF

Biharmonic capacity and the stability of minimal Lagrangian submanifolds
Tohoku Math. J. (2) 55 (2003), no. 4.
PDF

Stable constant mean curvature surfaces with circular boundaries,
( with Luis Alías and Rafael Lopez )
( Proc. Amer. Math. Soc. 127 (1999), no. 4, 1195--1200. ).
PDF

A remark on the stability of constant mean curvature surfaces with circular boundary and higher genus
(Complex Variables, 2003, Vol. 48, No. 8)
PDF

Stability of the Wulff shape
( Proc. Amer. Math. Soc. 126 (1998), no. 12, 3661--3667. )
PDF

Zero mean curvature surfaces with non-negative curvature in flat Lorentzian 4-spaces,
( with Luis Alías )
( R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 455 (1999), no. 1982, 631--636.)
PDF

Stability of zero mean curvature surfaces in flat Lorentzian 4-Manifolds
( with Luis Alías )
in Contemporary Mathematics: Global Differential Geometry-The Mathematical Legacy of Alfred Gray, 2001
PDF

Deformations of stationary surfaces
( with Luis Alías )
Classical and Quantum Gravity, 14, 1997.
PDF

Curvature properties of zero mean curvature surfaces in Lorentzian space forms
( with Luis Alías )
Math.Proc. Cambridge Philos. Soc.124(1998) no.2
PDF

A duality result between the minimal surface equation and the maximal surface equation.
( with Luis Alías )
An. Acad. Brasil. Ciênc. 73 (2001), no. 2
PDF

Calibrations and Lagrangian submanifolds in the six-sphere
Tohoku Math. J. (2) 50 (1998), no. 2, 303--315.
PDF

Remarks on a variational problem in Laguerre geometry,
Rendiconti di Matematica, Serie VII,(1999), 281-293.
PDF

current CV

Talk slides

Equilibria for anisotropic energies
Osaka City University, Dec. 17, 2008.
PDF

CONFERENCE ON VARIATIONAL PROBLEMS FOR CURVES AND SURFACES AND RELATED TOPICS

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