Xiaodan Zhou
Research Unit
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Discontinuous eikonal equations in metric measure spaces, (joint with Q. Liu and N. Shanmugalingam), Trans. Amer. Math. Soc. Volume 378, Number 1, January 2025, 695–729.
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Horizontally quasiconvex envelope in the Heisenberg group, (joint with A. Kijowski and Q. Liu), Rev. Mat. Iberoam.
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Equivalence of solutions of eikonal equation in metric spaces, (joint with Q. Liu and N. Shanmugalingam), J. Differential Equations 272 (2021), 979–1014.
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Functions of bounded variation on complete and connected one-dimensional metric spaces, (with P. Lahti), Int. Math. Res. Not.IMRN 2021, no. 20, 15412–15443.
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Sobolev functions in the critical case are uniformly continuous in s-Ahlfors regular metric spaces when s less than or equal to one, Proc. Amer. Math. Soc. 145 (2017), no. 1, 267-272.
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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.
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Sobolev embedding on a sphere containing an arbitrary Cantor set in the image, (with P. Hajlasz), Geom. Dedicata. 184 (2016), 159--173.
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A game-theoretic proof of convexity preserving properties for motion by curvature, (with Q. Liu and A. Schikorra), Indiana Univ. Math. J. 65 (2016), 171--197.