G. Dziuk, E. Kuwert, and R. Schätzle: Evolution of elastic curves in $\mathbb R^n$: existence and computation
. SIAM J. Math. Anal. 33 (2002), 5, 1228–1245. MR 1897710
 T. Kurihara and T. Nagasawa: On the gradient flow for a shape optimization problem of plane curves as a singular limit
. Saitama J. Math. 24 (2006/2007), 43–75. MR 2396572
 K. Mikula and D. Ševčovič: Evolution of plane curves driven by a nonlinear function of curvature and anisotropy
. SIAM J. Appl. Math. 61 (2001), 5, 1473–1501. MR 1824511
 K. Mikula and D. Ševčovič: A direct method for solving an anisotropic mean curvature flow of plane curves with an external force
. Math. Methods Appl. Sci. 27 (2004), 13, 1545–1565. MR 2077443
 K. Mikula and D. Ševčovič: Computational and qualitative aspects of evolution of curves driven by curvature and external force
. Comput. Vis. Sci. 6 (2004), 4, 211–225. MR 2071441
 K. Mikula and D. Ševčovič: Evolution of curves on a surface driven by the geodesic curvature and external force
. Appl. Anal. 85 (2006), 4, 345–362. MR 2196674
 Y. Miyamoto: Reformulation of Local-Constraint-Gradient Flow for Bending Energy of Plane Curves Applying the Fredholm Alternative (in Japanese). Master Thesis, Saitama University, 2009.
 S. Okabe: The motion of elastic planar closed curve under the area-preserving condition
. Indiana Univ. Math. J. 56 (2007), 4, 1871–1912. MR 2354702
 F. Suto: On the Global Existence for Local/Total-Constraint-Gradient Flows for the Bending Energy of Plane Curves (in Japanese). Master Thesis, Saitama University, 2009.