• 53 Citations
  • 4 h-Index
20112019

Research output per year

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Research Output

  • 53 Citations
  • 4 h-Index
  • 16 Article
  • 1 Comment/debate
2019
Open Access

CR Sub-Laplacian Comparison and Liouville-Type Theorem in a Complete Noncompact Sasakian Manifold

Chang, S. C., Kuo, T. J., Lin, C. & Tie, J., 2019 Apr 15, In : Journal of Geometric Analysis. 29, 2, p. 1676-1705 30 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Non-existence of solutions for a mean field equation on flat tori at critical parameter 16π

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Jan 1, In : Communications in Analysis and Geometry. 27, 8, p. 1737-1755 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Simple zero property of some holomorphic functions on the moduli space of tori

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Nov 1, In : Science China Mathematics. 62, 11, p. 2089-2102 14 p.

Research output: Contribution to journalArticle

Open Access

The geometry of generalized Lamé equation, I

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Jul, In : Journal des Mathematiques Pures et Appliquees. 127, p. 89-120 32 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The geometry of generalized Lamé equation, II: Existence of pre-modular forms and application

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Dec, In : Journal des Mathematiques Pures et Appliquees. 132, p. 251-272 22 p.

Research output: Contribution to journalArticle

2018

Cr Li-Yau gradient estimate for witten Laplacian via Bakry-Emery Pseudohermitian Ricci Curvature

Chang, D. C., Chang, S. C., Kuo, T. J. & Lai, S. H., 2018 Jan 1, In : Asian Journal of Mathematics. 22, 2, p. 223-256 34 p.

Research output: Contribution to journalArticle

Green function, Painlevé VI equation, and Eisenstein series of weight one

Chen, Z., Kuo, T. J., Lin, C. S. & Wang, C. L., 2018 Feb, In : Journal of Differential Geometry. 108, 2, p. 185-241 57 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

On reducible monodromy representations of some generalized Lamé equation

Chen, Z., Kuo, T. J., Lin, C. S. & Takemura, K., 2018 Apr 1, In : Mathematische Zeitschrift. 288, 3-4, p. 679-688 10 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Real-root property of the spectral polynomial of the Treibich–Verdier potential and related problems

Chen, Z., Kuo, T. J., Lin, C. S. & Takemura, K., 2018 Apr 15, In : Journal of Differential Equations. 264, 8, p. 5408-5431 24 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2017

Existence and non-existence of solutions of the mean field equations on flat tori

Chen, Z., Kuo, T-J. & Lin, C. S., 2017 Jan 1, In : Proceedings of the American Mathematical Society. 145, 9, p. 3989-3996 8 p.

Research output: Contribution to journalArticle

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I

Chen, Z., Kuo, T. J. & Lin, C. S., 2017 Jun 1, In : Journal of Geometry and Physics. 116, p. 52-63 12 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2016

Estimates of the mean field equations with integer singular sources: Non-simple blowup

Kuo, T. J. & Lin, C. S., 2016 Jul, In : Journal of Differential Geometry. 103, 3, p. 377-424 48 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Hamiltonian system for the elliptic form of Painlevé VI equation

Chen, Z., Kuo, T. J. & Lin, C. S., 2016 Sep 1, In : Journal des Mathematiques Pures et Appliquees. 106, 3, p. 546-581 36 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2014

On the estimate of first positive eigenvalue of a sublaplacian in a pseudohermitian manifold

Fan, Y. W. & Kuo, T. J., 2014 Jan 1, In : Asian Journal of Mathematics. 18, 5, p. 929-946 18 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2013

Complete Pseudohermitian Manifolds with Positive Spectrum

Chang, S. C., Chen, J-T. & Kuo, T-J., 2013 Jan 1, In : Journal of Geometric Analysis. 25, 1, p. 92-107 16 p.

Research output: Contribution to journalArticle

2011

Li-yau gradient estimate and entropy formulae for the cr heat equation in a closed pseudohermitian 3-manifold

Chang, S. C., Kuo, T. J. & Lai, S. H., 2011 Jan 1, In : Journal of Differential Geometry. 89, 2, p. 185-216 32 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)