Publications
- (with Emil Straube) Diederich-Forn\ae ss index and global regularity in the $\overline{\partial}$-Neumann problem: domains with comparable Levi eigenvalues. Submitted (2022). arXiv: 2207.14197.
- The $\bar{\partial}$-Neumann problem and boundary integral equations. To appear (2022), Int. J. Math.. arXiv:2104.09659.
- (with Yu Su and Zhaosheng Feng) Ground state solution of the thin film epitaxy equation. J. Math. Anal. Appl. 503 (2021), no. 2, Paper No. 125357, 28 pp.
- (with Andrew Raich) The complex Green operator with Sobolev estimates up to a finite order. Int. J. Math. 31 (2020), no. 14, 2050122.
- The Diederich--Forn\ae ss index and the regularities on the $\bar{\partial}$-Neumann problem, Indiana U. Math. J. 71 (2022), no. 4, 1371-1395. arXiv:1906.00315.
- (with Phillip Harrington) The $\bar{\partial}$-Neumann operator with the Sobolev norm of integer orders, Comm. Partial Differential Equations 45 (2020), no. 10, 1435-1450. arXiv:1905.04238.
- The PDE method on the Riemann mapping theorem, Handbook of complex variables (2021).
- The Diederich--Fornæss index II: for domains of trivial index, Adv. Math. 344 (2019), 289-310. arXiv:1701.07418.
- The Diederich-Fornæss index I: for the non-trivial index, Adv. Math. 353 (2019), 776-801. arXiv:1701.00293.
- (with Steven Krantz and Marco Peloso) Geometric Analysis on the Diederich-Fornæss Index, J. Korean Math. Soc. 55 (2018), no. 4, 897 - 921. arXiv:1606.02343.
- Two applications of the Schwarz lemma, Pacific J. Math. 296 (2018), no. 1, 141 -153. arXiv:1412.2680.
- On the domains with noncompact automorphism groups, J. Math. Anal. Appl. 465 (2017), no.2, 903 - 911.
- The intrinsic geometry on bounded pseudoconvex domains, J. Geom. Anal. 28 (2018), no. 2, 1728 - 1748. arXiv:1610.06530.
- (with Angel Cano and Marlon López) The limit set for discrete complex hyperbolic groups, Indiana U. Math. J. 66 (2017), no. 3, 927 - 948. arXiv:1506.08113.
- Analysis of orbit accumulation points and the Greene-Krantz conjecture, J. Geom. Anal. 27 (2017), no. 1, 726 - 745. arXiv:1407.5546.
- Finite type domains with hyperbolic orbit accumulation points, J. Math. Anal. Appl. 415 (2014), no. 1, 314 - 324.
- The Wong-Rosay type theorem for Kähler manifolds, Preprint (2015). arXiv:1407.5036.
- Classical inequalities for the discrete spectrum of Schrödinger operators, Preprint (2009).