**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",
*Journal of Progressive Research in Mathematics, *
13 (2018-05), no. 3, 2237-2244.
- "On hypersurfaces of constant Gauss curvature with prescribed boundary",
*Theoretical mathematics and applications, *
6 (2016), no. 2, 37-49.
- "Delaunay-like surfaces in S^n+1",
*Studies in Mathematical Sciences, *
2 (2011-05), no. 2, .
- "Interior gradient estimates for solutions to the mean curvature equation",
*International Math. Forum, *
3 (2008), no. 9, 407-448.
- "Second derivative estimates for solutions to the mean curvature equation",
*Internatuinal Math. Forum, *
3 (2008), no. 29, 1414-1435.
- "Gauss curvature estimates for surfaces whose mean curvature is constant or has special properties",
*International Math. Forum, *
2 (2007), no. 53, 2607-2643.
- "Isoperimetric inequalities, the torsion problem, and the first eigenvalue of Laplacian of multiply-connected, compact surfaces with boundary",
*International Mathematical Forum, *
2 (2007), no. 17, 835-872.
- "Boundary regularity for capillary surfaces",
*Georgian Math. J, *
12 (2005), 283-307.
- "Boundary behavior of capillary surfaces possibly with extremal boundary angles",
*Internal. J. Math. Math. Soc, *
2005 (2005), no. 24, 3925-3950.
- "Global boundedness, interior gradient estimates and boundary regularity for the mean curvature equation with boundary conditions",
*Interl J. Math. Math. Soc., *
18 (2004), 913-948.
- "Harnack's inequalities for solutions to the mean curvature equation and to the capillarity problem",
*Rend.Sem. Mat. Univ. Padova,110, 2003, *
110 (2003), 57-96.
- "Interior Holder estimates for nonparametric surfaces of prescribed mean curvature",
*Proc. Royal Soc. of Edingburgh, *
133A (2003), 625-638.
- (with Chun-Chung Hsieh and Jenn-fang Hwang) "Phagemen-Lindelof theorem for minimal surfaces in higher dimensions",
*Pacific J. of Math., *
207 (2002), no. 1, 183-198.
- "Absolute gradient bounds for nonparametric hypersurfaces of constant mean curvature",
*Ann.Univ.Ferrara-Sez. VII-Sc.Mat., *
XLVIII (2002), 189-217.
- "Level sets of Gauss curvature in surfaces of constant mean curvature",
*Rend. Sem. Mat. Univ. Padova, *
104 (2000), 1-26.
- "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",
*Analysis, *
19 (1999), 117-142.
- "Absolute gradient bounds for nonparametric hypersurfaces of constant mean curvature and the structure of generalized solutions of the constant mean curvature equation",
*Calc. Var. and P.D.E's, *
7 (1998), 99-123.
- "Moon hypersurfaces and some related existence results of capillary hypersurfaces without gravity and of rotational symmetry",
*Pacific J. of Math., *
172 (1996), no. 3, 433-460.
- "An absolute gradient bound for nonparametric surfaces of constant mean curvature",
*Indiana Univ. Math. J., *
41 (1992), no. 3, 569-604.