39 citations · 56 across the 10 of their papers we have counts for
10 papers
Strong maximum principle for mean curvature operators on subriemannian manifolds
Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1
We study the strong maximum principle for horizontal (p-) mean curvature operator and p-(sub)laplacian operator on subriemannian manifolds including, in particular, Heisenberg grou…
Umbilic hypersurfaces of constant sigma-k curvature in the Heisenberg group
Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1
We study immersed, connected, umbilic hypersurfaces in the Heisenberg group with We show that such a hypersurface, if closed, must be rotationally invarian…
Umbilicity and characterization of Pansu spheres in the Heisenberg group
Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1
For we define a notion of umbilicity for hypersurfaces in the Heisenberg group . We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are…
Uniqueness of generalized p-area minimizers and integrability of a horizontal normal in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang
We study the uniqueness of generalized -minimal surfaces in the Heisenberg group. The generalized -area of a graph defined by reads . If …
Variations of generalized area functionals and p-area minimizers of bounded variation in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang
We prove the existence of a continuous minimizer with boundary value for the -area (pseudohermitian or horizontal area) in a parabolically convex bounded domain. We…
A Codazzi-like equation and the singular set for smooth surfaces in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang, Andrea Malchiodi +1
In this paper, we study the structure of the singular set for a smooth surface in the -dimensional Heisenberg group . We discover a Codazzi-like equa…