Equivalence of solutions of eikonal equation in metric spaces Q Liu, N Shanmugalingam, X Zhou Journal of Differential Equations 272, 979-1014, 2021 | 18 | 2021 |
Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group Q Liu, JJ Manfredi, X Zhou Calculus of Variations and Partial Differential Equations 55, 1-25, 2016 | 14 | 2016 |
A game-theoretic proof of convexity-preserving properties for motion by curvature Q Liu, A Schikorra, X Zhou Indiana University Mathematics Journal, 171-197, 2016 | 14 | 2016 |
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces P Lahti, A Pinamonti, X Zhou Nonlinear Analysis 241, 113467, 2024 | 7 | 2024 |
Quasiconformal and Sobolev mappings in non-Ahlfors regular metric spaces when p> 1, preprint 2021 P Lahti, X Zhou | 6 | |
Absolutely continuous functions on compact and connected 1-dimensional metric spaces X Zhou Annales Fennici Mathematici 44 (1), 281–291-281–291, 2019 | 5 | 2019 |
Strong comparison principle for 𝑝-harmonic functions in Carnot-Caratheodory spaces L Capogna, X Zhou Proceedings of the American Mathematical Society 146 (10), 4265-4274, 2018 | 5 | 2018 |
Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations Q Liu, X Zhou arXiv preprint arXiv:1907.01701, 2019 | 3 | 2019 |
Sobolev embedding of a sphere containing an arbitrary Cantor set in the image P Hajłasz, X Zhou Geometriae Dedicata 184, 159-173, 2016 | 3 | 2016 |
An introduction to viscosity solution theory Q Liu, X Zhou Introductory notes, 2013 | 3 | 2013 |
BV functions and nonlocal functionals in metric measure spaces P Lahti, A Pinamonti, X Zhou arXiv preprint arXiv:2310.08882, 2023 | 2 | 2023 |
Green function in metric measure spaces M Bonk, L Capogna, X Zhou arXiv preprint arXiv:2211.11974, 2022 | 2 | 2022 |
Quasiconformal and Sobolev mappings in non-Ahlfors regular metric spaces P Lahti, X Zhou arXiv preprint arXiv:2106.03602, 2021 | 2 | 2021 |
Sobolev functions in the critical case are uniformly continuous in 𝑠-Ahlfors regular metric spaces when 𝑠≤ 1 X Zhou Proceedings of the American Mathematical Society 145 (1), 267-272, 2017 | 2 | 2017 |
Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces P Lahti, X Zhou Analysis and Geometry in Metric Spaces 12 (1), 20240001, 2024 | 1 | 2024 |
A second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow A Kijowski, Q Liu, Y Zhang, X Zhou arXiv preprint arXiv:2312.10364, 2023 | 1 | 2023 |
Discontinuous eikonal equations in metric measure spaces Q Liu, N Shanmugalingam, X Zhou arXiv preprint arXiv:2308.06872, 2023 | 1 | 2023 |
Functions of bounded variation on complete and connected one-dimensional metric spaces P Lahti, X Zhou International Mathematics Research Notices 2021 (20), 15412-15443, 2021 | 1 | 2021 |
Horizontally quasiconvex envelope in the Heisenberg group A Kijowski, Q Liu, X Zhou Revista Matemática Iberoamericana 40 (1), 57-92, 2024 | | 2024 |
Absolutely continuous mappings on doubling metric measure spaces P Lahti, X Zhou manuscripta mathematica 173 (1), 1-21, 2024 | | 2024 |