seo keomkyo

Let Σ be an n(≥ 3)-dimensional compact embedded hypersurface in a unit sphere with constant mean curvature H ≥ 0 and with two distinct principal curvatures λ and μ of multiplicity n− 1 and 1, respectively. It is known that if λ > μ, there exist many compact embedded constant mean curvature hypersurfaces [26].

Jihye Lee, Keomkyo Seo. We obtain the radial symmetry of the solution to a partially overdetermined boundary value problem in a convex cone in space forms by using the maximum principle for a suitable subharmonic function P and integral identities.

Keomkyo Seo [email protected] Department of Mathematics, Sookmyung Women's University, Hyochangwongil 52, Yongsan-ku, Seoul, 140-742, Korea. Search for more papers by this author

2020. Articles 1-20. ‪Department of Mathematics, Sookmyung Women's University‬ - ‪‪Cited by 306‬‬ - ‪Mathematics‬ - ‪Differential Geometry‬.