References
- [1] Blyth M. and Pozrikidis C., Solution Space of Axisymmetric Capsules Enclosed by Elastic Membranes, Eur. J. Mech. A 23 (2004) 877-892.
- [2] Chen B. and Kamien R., Nematic Films and Radially Anisotropic Delau- nay Surfaces, Eur. Phys. J. E 28 (2009) 315-329.
- [3] Delaunay C., Sur la surface de revolution dont la courbure moyenne est constante, J. Math. Pures et Appliquées, 6 (1841) 309-320.
- [4] Djondjorov P., Hadzhilazova M., Mladenov I. and Vassilev V., Beyond Delaunay Surfaces, J. Geom. Symmetry Phys. 18 (2010) 1-11.
- [5] Hu J.-G. and Ou-Yang Z.-C., Shape Equations of the Axisymmetric Vesi- cles, Phys. Rev. E 47 (1993) 461-467.
- [6] Konopelchenko B., On Solutions of the Shape Equation for Membranes and Strings, Phys. Lett. B 414 (1997) 58-64.
- [7] Lipowsky R. and Sackmann E. (Eds), Handbook of Biological Physics (Structure and Dynamics of Membranes) vol 1, Elsevier, Amsterdam 1995.
- [8] Ludu A., Nonlinear Waves and Solitons on Contours and Closed Surfaces, Springer, Berlin 2007.
- [9] Mladenov I., New Solutions of the Shape Equation, Eur. Phys. J. B 29 (2002) 327-330.
- [10] Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V., Some Explicit Solutions of the Shape Equation, In: AIP Conference Proceedings 1301 (2010) 215-227.
- [11] Nitsche J., Boundary Value Problems for Variational Integrals Involving Surface Curvatures, Quarterly Appl. Math. 60 (1993) 363-387.
- [12] Oprea J., Di erential Geometry and Its Applications, Mathematical Association of America, Washington D. C. 2007.
- [13] Ou-Yang Z.-C. and Helfrich W., Bending Energy of Vesicle Membranes: General Expressions for the First, Second and Third Variation of the Shape Energy and Applications to Spheres and Cylinders, Phys. Rev. A 39 (1989) 5280-5288.
- [14] Ou-Yang Z.-C., Selection of Toroidal Shape of Partially Polymerized Membranes, Phys. Rev. E 47 (1993) 747-749.
- [15] Ou-Yang Z.-C., Liu J.-X., and Xie Y.-Z., Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases, World Scientific, Hong Kong 1999.
- [16] Vassilev V., Djondjorov P. and Mladenov I., Cylindrical Equilibrium Shapes of Fluid Membranes, J. Phys. A: Math. & Theor. 41 (2008) 435201 (16pp); doi:10.1088/1751-8113/41/43/435201.