Your browser do not support script. Here are news slide. 研究人員

梁惠禎

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主要研究興趣是與最小曲面及常均勻率曲面 相關的變分,偏微分方程及幾何問題。   


Email : liang AT math.sinica.edu.tw
Phone:+886 2 2368-5999 ext. 706
Fax: +886 2 2368-9771

著作目錄 :

1.  Hypersurfaces of constant curvature in hyperbolic spaces, (2018)
2.  Boundary behavior of a capillary surface with extremal contact angle, (2018)
3.  On hypersurfaces of constant Gauss curvature with prescribed boundary, Theoretical mathematics and applications , 6(2016), no. 2, 37-49
4.  An absolute gradient bound for nonparametric surfaces of constant mean curvature, Indiana Univ. Math. J. , 41(1992), no. 3, 569-604
5.  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
6.  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
7.  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
8.  Level sets of Gauss curvature in surfaces of constant mean curvature, Rend. Sem. Mat. Univ. Padova , 104(2000), 1-26
9.  Absolute gradient bounds for nonparametric hypersurfaces of constant mean curvature, Ann.Univ.Ferrara-Sez. VII-Sc.Mat. , XLVIII(2002), 189-217
10.  (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
11.  Interior Holder estimates for nonparametric surfaces of prescribed mean curvature, Proc. Royal Soc. of Edingburgh , 133A(2003), 625-638
12.  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
13.  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
14.  Boundary behavior of capillary surfaces possibly with extremal boundary angles, Internal. J. Math. Math. Soc , 2005(2005), no. 24, 3925-3950
15.  Boundary regularity for capillary surfaces, Georgian Math. J , 12(2005), 283-307
16.  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
17.  Gauss curvature estimates for surfaces whose mean curvature is constant or has special properties, International Math. Forum , 2(2007), no. 53, 2607-2643
18.  Interior gradient estimates for solutions to the mean curvature equation, International Math. Forum , 3(2008), no. 9, 407-448
19.  Second derivative estimates for solutions to the mean curvature equation, Internatuinal Math. Forum , 3(2008), no. 29, 1414-1435
20.  Delaunay-like surfaces in S^n+1, Studies in Mathematical Sciences , 2(2011-05), no. 2, 0-0