# Publications

- Existence and Uniqueness of Green functions for the Cheeger p-Laplacian in PI spaces, (joint with M. Bonk and L. Capogna), Preprint.

- Equivalence of solutions of eikonal equation in metric spaces, (joint with Q. Liu and N. Shanmugalingam), to appear in
arXiv**J. Differential Equations.**

- Functions of bounded variation on complete and connected one-dimensional metric spaces, (with P. Lahti), to appear in
*International Mathematics Research Notices*

- Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations, (with Q. Liu), to appear in
arXiv**Ann. Sc. Norm. Super. Pisa Cl. Sci.**

- Absolutely continuous functions on compact and connected one-dimensional metric spaces,
**Ann. Acad. Sci. Fenn. Math.**Volumen 44, (2019), 281-291.

- Strong comparison principle for p-harmonic functions in Carnot-Caratheodory spaces, (with L. Capogna),
**Proc. Amer. Math. Soc.**146 (2018)*, no. 10, 4265-4274.*arXiv

- Weakly coupled systems of fully nonlinear parabolic equations in the Heisenberg group, (with Q. Liu),
174 (2018), 54-78. PDF file**Nonlinear Anal**.

- Sobolev functions in the critical case are uniformly continuous in s-Ahlfors regular metric spaces when s less than or equal to one,
145 (2017), no. 1, 267-272*Proc. Amer. Math. Soc.**.*arXiv

- Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group, (with Q. Liu and J. J. Manfredi),
55 (2016), no.4, Art. 80, 25pp. arXiv*Calc. Var. Partial Differential Equations*

- Sobolev embedding on a sphere containing an arbitrary Cantor set in the image, (with P. Hajlasz),
184 (2016), 159--173. arXiv*Geom. Dedicata.*

- A game-theoretic proof of convexity preserving properties for motion by curvature, (with Q. Liu and A. Schikorra),
65 (2016), 171--197. PDF file**Indiana Univ. Math. J.**