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# 黃振芳

 黃振芳主要興趣在橢圓偏微分方程, 特別是最小曲面與 毛細面方程。 　　 Email : majfh AT math.sinica.edu.tw Phone:+886 2 2368-5999 ext. 632 Fax: +886 2 2368-9771

### 著作目錄 :

 1 (with Tienchen Chu) On trimming a triangle, Chinese J. Math. , 8(1980), 85-92 2 Phragmen-Lindelof theorem for the minimal surface equation, Proc. Amer. Math. Soc. , 104(1988), 825-828 3 Comparison principles and Liouville theorems for prescibed mean curvature equations in unbounded domains, Annali Scuola Norm. Sup. Pisa, IV 15(1988), 341-355., (1988) 4 (with R. Finn) On the comparison principle for capillary surfaces, J. Fac. Sci. Univ. Toykyo Sect. I.A., Math. , 36(1989), 131-134 5 Growth property for the minimal surface equation in unbounded domains, Proc. Amer. Math. Soc. , 121(1994), 1027-1037 6 On the uniqueness of capillary surfaces over an infinite strip, Pacific J. Math. , 169(1995), 95-105 7 (with Chiun-Chuan Chen) $\sum^\infty_{j=1}e^{i\sqrt jx}$ is a $C^\infty$ function on $R_s\{0\}$, Tsing Hua Lectures on Geometry and Analysis, (ed. S.T. Yau), International Press (1995), 51-58 8 A uniqueness theorem for the minimal surface equation, Pacific J. Math. , 1767(1996), 357-364 9 Catenoid-like solutions for the minimal surface equation, Pacific J. Math. , 183(1998), 91-102 10 Structural Inequalities Method for Uniqueness Theorems for the Minimal Surface Equation, Joint Australian-Taiwanese Workshop on Analysis and Applications, (Brisbane, March, 1997), Proceedings of CMA, Australian National University, vol 37, 1999, 47-52., (1999) 11 (with Yi Fang) A note on Shiffman's theorems, Geom. Dedicata , 81(2000), 167-171 12 (with Yi Fang) Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem, Comm. Anal. Geom. , 8(2000), 871-904 13 (with Chun-Chung Hsieh, Fei-Tsen Liang) Phragmen -Lindel$\ddot{o}$f theorem for minimal surface equation in higher dimensions, Pacific J. Math. , 207(2002), no. 1, 183-198 14 (with Yi Fang) New examples of reflectively symmetric minimal surfaces bounded by parallel straight lines, J.Geom. , 75(2002), no. 1-2, 74-96 15 How many theorems can be derived from a vector function-on uniqueness theorems for the minimal surface equation, Taiwanese J. Math. , 7(2003), no. 4, 513-539 16 (With Yi Fang) When is a minimal surface a minimal graph?, Pacific J. Math. , 207(2002), no. 2, 359-376 17 (with Jih-Hsin Cheng) Properly embedded and immersed minimal surfaces in the Heisenberg group, Bull. Aus. Math. Soc. , 70(2004), 507-520 18 (with Jih-Hsin Cheng!Andrea Malchiodi!Paul Yang) Minimal surfaces in pseudohermitian geometry, Annali della Scuola Normale Superiore di Pisa Classe di Scienze V , 4(2005), no. 1, 129-177 19 (with Jih-Hsin Cheng ! Paul Yang) Existence and uniqueness for P-area minimizers in the Heisenberg group, Mathematische Annalen , 337(2007), no. 2, 253-293 20 (with Jih-Hsin Cheng!Paul Yang) Regularity of C1 smooth solutions with prescribed p-mean curvature in the Heisenberg group, Math. Annalen , 344(2009), no. 1, 1-35 21 (with Jih-Hsin Cheng!Andrea Malchiodi!Paul Yang) An elementary geometric proof for a Bernstein-type theorem in the Heisenberg group, (preprint), 0-0 22 (with Jih-Hsin Cheng) Variations of generalized area functionals and p-area minimizers of bounded variation in the Heisenberg group, Bulletin of the Institute of Mathematics, Academia Sinica, New Series , 5(2010), no. 4, 369-412 23 (with Jih-Hsin Cheng!Andrea Malchiodi!Paul Yang) A Codazzi-like equation and the singular set for smooth surfaces in the Heisenberg group, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK , 671(2012), 131-198 24 (with Jih-Hsin Cheng) Uniqueness of generalized p-area minimizers and integrability of a horizontal normal in the Heisenberg group, Calculus of Variations and PDE , 50(2014), 579-597 25 (with Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang) Strong Maximum principle for generalized p-mean curvature operator in the Heisenberg group, (preprint), 0-0 26 (with Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang) Umbilicity and characterization of Pansu spheres in the Heisenberg group, Journal fur die reine und angewandte Mathematik (2015), 0-0 27 (with Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang) Umbilic hypersurfaces of constant sigma-k curvature in the Heisenberg group, Calculus of Variations and Partial Differential Equations , 55(2016-06), no. 3