Example：10.1021/acsami.1c06204 or Chem. Rev., 2007, 107, 2411-2502
Total $p$-powered curvature of closed curves and flat-core closed $p$-curves in $S^2(G)$ Communications in Analysis and Geometry (IF0.736), Pub Date : 2020-12-02, DOI: 10.4310/cag.2020.v28.n6.a6 Naoki Shioji, Kohtaro Watanabe
We consider a variational problem of $p$-elastic curves in two-dimensional sphere. We give its first variation formula, and in two-dimensional sphere, we give a realization of a solution which satisfies that the first variation formula is zero. We also show the existence of a flat-core, closed $p$-elastic curve.