5 citations · 23 across the 11 of their papers we have counts for
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math-ph2019★ 3 cited
Stability of hypersurfaces with constant mean curvature trapped between two parallel hyperplanes
Miyuki Koiso, Umpei Miyamoto
Static equilibrium configurations of continua supported by surface tension are given by constant mean curvature (CMC) surfaces which are critical points of a variational problem to…
math.DG2019★ 4 cited
Non-uniqueness of closed embedded non-smooth hypersurfaces with constant anisotropic mean curvature
Yoshiki Jikumaru, Miyuki Koiso
An anisotropic surface energy is the integral of an energy density that depends on the normal at each point over the considered surface, and it is a generalization of surface area.…
math.DG2019★ 5 cited
Uniqueness of stable closed non-smooth hypersurfaces with constant anisotropic mean curvature
Miyuki Koiso
We study a variational problem for piecewise-smooth hypersurfaces in the (n+1)-dimensional Euclidean space with an anisotropic energy. An anisotropic energy is the integral of an e…