Associate Research Fellow | Liang, Fei-tsen

**Contact Information**

- liang$\color{red}{@}$math.sinica.edu.tw
- +886 2 2368-5999 ext. 706
- +886 2 2368-9771

**Research Interests**

- Partial Differential Equations

**Education**

- Ph.D. in Mathematics Stanford University (1982-1987)
- B.S. in Mathematics National Taiwan University (1978-1982)

**Links**

**Work Experience**

- Associate Research Fellow Institute of Mathematics, Academia Sinica 1999 - Present
- Assistant Research Fellow Institute of Mathematics, Academia Sinica 1994 - 1999
- Associate Professor Institute of Applied Mathematics, National Tsing Hua University 1987 - 1993

**Research Descriptions**

Dr. Liang's major research interests are variational problem, geometric analysis and problems of partial differential equations related to minimal surfaces or surfaces of constant mean curvature.

**Selected Publications**

- "Hypersurfaces of constant curvature in hyperbolic space"
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*Journal of Progressive Research in Mathematics*, 13 (3), 2237-2244, 2018-05. - "On hypersurfaces of constant Gauss curvature with prescribed boundary"
,
*Theoretical mathematics and applications*, 6 (2), 37-49, 2016. - "Delaunay-like surfaces in S^n+1"
,
*Studies in Mathematical Sciences*, 2 (2), 2011-05. - "Interior gradient estimates for solutions to the mean curvature equation"
,
*International Math. Forum*, 3 (9), 407-448, 2008. - "Second derivative estimates for solutions to the mean curvature equation"
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*Internatuinal Math. Forum*, 3 (29), 1414-1435, 2008. - "Gauss curvature estimates for surfaces whose mean curvature is constant or has special properties"
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*International Math. Forum*, 2 (53), 2607-2643, 2007. - "Isoperimetric inequalities, the torsion problem, and the first eigenvalue of Laplacian of multiply-connected, compact surfaces with boundary"
,
*International Mathematical Forum*, 2 (17), 835-872, 2007. - "Boundary regularity for capillary surfaces"
,
*Georgian Math. J*, 12, 283-307, 2005. - "Boundary behavior of capillary surfaces possibly with extremal boundary angles"
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*Internal. J. Math. Math. Soc*, 2005 (24), 3925-3950, 2005. - "Global boundedness, interior gradient estimates and boundary regularity for the mean curvature equation with boundary conditions"
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*Interl J. Math. Math. Soc.*, 18, 913-948, 2004. - "Harnack's inequalities for solutions to the mean curvature equation and to the capillarity problem"
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*Rend.Sem. Mat. Univ. Padova,110, 2003*, 110, 57-96, 2003. - "Interior Holder estimates for nonparametric surfaces of prescribed mean curvature"
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*Proc. Royal Soc. of Edingburgh*, 133A, 625-638, 2003. - (with Chun-Chung Hsieh and Jenn-fang Hwang) "Phagemen-Lindelof theorem for minimal surfaces in higher dimensions"
,
*Pacific J. of Math.*, 207 (1), 183-198, 2002. - "Absolute gradient bounds for nonparametric hypersurfaces of constant mean curvature"
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*Ann.Univ.Ferrara-Sez. VII-Sc.Mat.*, XLVIII, 189-217, 2002. - "Level sets of Gauss curvature in surfaces of constant mean curvature"
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*Rend. Sem. Mat. Univ. Padova*, 104, 1-26, 2000. - "On the minimum number of components divided by level set through a critical point of the subtraction of two solutions of the equation of prescribed mean curvature"
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*Analysis*, 19, 117-142, 1999. - "Absolute gradient bounds for nonparametric hypersurfaces of constant mean curvature and the structure of generalized solutions of the constant mean curvature equation"
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*Calc. Var. and P.D.E's*, 7, 99-123, 1998. - "Moon hypersurfaces and some related existence results of capillary hypersurfaces without gravity and of rotational symmetry"
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*Pacific J. of Math.*, 172 (3), 433-460, 1996. - "An absolute gradient bound for nonparametric surfaces of constant mean curvature"
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*Indiana Univ. Math. J.*, 41 (3), 569-604, 1992.

Director & Deputy Director