@article{oai:oist.repo.nii.ac.jp:00002607,
 author = {Liu, Qing and Zhou, Xiaodan},
 issue = {4},
 journal = {ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE},
 month = {Dec},
 note = {This paper introduces in a natural way a notion of horizontal convex envelopes of continuous functions in the Heisenberg group. We provide a convexification process to find the envelope in a constructive manner. We also apply the convexification process to show h-convexity of viscosity solutions to a class of fully nonlinear elliptic equations in the Heisenberg group satisfying a certain symmetry condition. Our examples show that in general one cannot expect h-convexity of solutions without the symmetry condition.},
 pages = {2039--2076},
 title = {Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations},
 volume = {22},
 year = {2021}
}