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Regularity of C^{1} smooth surfaces with prescribed p-mean curvature in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang
We consider a smooth surface with prescribed (or )-mean curvature in the 3-dimensional Heisenberg group. Assuming only the prescribed -mean curvature …
Existence and Uniqueness for P-Area Minimizers in the Heisenberg Group
Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang
In \cite{CHMY04}, we studied -mean curvature and the associated -minimal surfaces in the Heisenberg group from the viewpoint of PDE and differential geometry. In this paper,…
Properly embedded and immersed minimal surfaces in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang
We study properly embedded and immersed p(pseudohermitian)-minimal surfaces in the 3-dimensional Heisenberg group. From the recent work of Cheng, Hwang, Malchiodi, and Yang, we lea…
Minimal surfaces in pseudohermitian geometry
Jih-Hsin Cheng, Jenn-Fang Hwang, Andrea Malchiodi +1
We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some…