Publications

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

Horizontally quasiconvex envelope in the Heisenberg group, (joint with A. Kijowski and Q. Liu), arXiv.

Absolutely continuous mappings on doubling metric measure spaces, (joint with P. Lahti), submitted, arXiv

Quasiconformal and Sobolev mappings in nonAhlfors regular metric spaces when p>1, (joint with P. Lahti), submitted, arXiv

Quasiconformal and Sobolev mappings in nonAhlfors regular metric spaces, (joint with P. Lahti), submitted, arXiv

Differential games and HamiltonJacobiIsaacs equations in metric spaces, (with Q. Liu), accepted by Minimax Theory and its Applications.

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

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

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

Absolutely continuous functions on compact and connected onedimensional metric spaces, Ann. Acad. Sci. Fenn. Math. Volumen 44, (2019), 281291.
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Strong comparison principle for pharmonic functions in CarnotCaratheodory spaces, (with L. Capogna), Proc. Amer. Math. Soc. 146 (2018), no. 10, 42654274. arXiv

Weakly coupled systems of fully nonlinear parabolic equations in the Heisenberg group, (with Q. Liu), Nonlinear Anal. 174 (2018), 5478. PDF file

Sobolev functions in the critical case are uniformly continuous in sAhlfors regular metric spaces when s less than or equal to one, Proc. Amer. Math. Soc. 145 (2017), no. 1, 267272. arXiv

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

Sobolev embedding on a sphere containing an arbitrary Cantor set in the image, (with P. Hajlasz), Geom. Dedicata. 184 (2016), 159173. arXiv

A gametheoretic proof of convexity preserving properties for motion by curvature, (with Q. Liu and A. Schikorra), Indiana Univ. Math. J. 65 (2016), 171197. PDF file