Institute of Mathematics
Academia Sinica
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Retired Research Fellow |   Hwang, Jenn Fang
Contact Information
  • majfh$\color{red}{@}$math.sinica.edu.tw
  • +886 2 2368-5999 ext. 400
  • +886 2 2368-9771
Research Interests
  • Partial Differential Equations
Education
  • Ph.D. in Mathematics National Taiwan University (1986/2)
  • M.S. in Mathematics National Taiwan University (1979/6)
  • B.S. in Mathematics National Taiwan University (1977/6)
Links
Work Experience
  • Research Fellow Inst. of Math., Academia Sinica 2001
  • Associate Research Fellow Inst. of Math., Academia Sinica 1988
  • Post Doctoral Associate Research Fellow Inst. of Math., Academia Sinica 1986/7
  • Research Assistant Dep. of Math., National Taiwan University 1979 -1982
Research Descriptions

Dr. Hwang's major research interests is elliptic partial differential equations, especially in the minimal surface equation and capillary surface equation.

Selected Publications
  1. (with Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang) "Strong Maximum principle for generalized p-mean curvature operator in the Heisenberg group" , preprint.
  2. (with Jih-Hsin Cheng!Andrea Malchiodi!Paul Yang) "An elementary geometric proof for a Bernstein-type theorem in the Heisenberg group" , preprint.
  3. "（數學傳播投稿）追尋陳省身先生的軼事" , 2020. pdf file
  4. (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 (3), 2016-06.
  5. (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.
  6. (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, 579-597, 2014.
  7. (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, 131-198, 2012.
  8. (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 (4), 369-412, 2010.
  9. (with Jih-Hsin Cheng!Paul Yang) "Regularity of C1 smooth solutions with prescribed p-mean curvature in the Heisenberg group" , Math. Annalen , 344 (1), 1-35, 2009.
  10. (with Jih-Hsin Cheng ! Paul Yang) "Existence and uniqueness for P-area minimizers in the Heisenberg group" , Mathematische Annalen , 337 (2), 253-293, 2007.
  11. (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 (1), 129-177, 2005.
  12. (with Jih-Hsin Cheng) "Properly embedded and immersed minimal surfaces in the Heisenberg group" , Bull. Aus. Math. Soc. , 70, 507-520, 2004.
  13. "How many theorems can be derived from a vector function-on uniqueness theorems for the minimal surface equation" , Taiwanese J. Math. , 7 (4), 513-539, 2003.
  14. "(With Yi Fang) When is a minimal surface a minimal graph?" , Pacific J. Math. , 207 (2), 359-376, 2002.
  15. "(with Yi Fang) New examples of reflectively symmetric minimal surfaces bounded by parallel straight lines" , J.Geom. , 75 (1-2), 74-96, 2002.
  16. "(with Chun-Chung Hsieh, Fei-Tsen Liang) Phragmen -Lindel$\ddot{o}$f theorem for minimal surface equation in higher dimensions" , Pacific J. Math. , 207 (1), 183-198, 2002.
  17. (with Yi Fang) "Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem" , Comm. Anal. Geom. , 8, 871-904, 2000.
  18. (with Yi Fang) "A note on Shiffman's theorems" , Geom. Dedicata , 81, 167-171, 2000.
  19. "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.
  20. "Catenoid-like solutions for the minimal surface equation" , Pacific J. Math. , 183, 91-102, 1998.
  21. "A uniqueness theorem for the minimal surface equation" , Pacific J. Math. , 1767, 357-364, 1996.
  22. (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 , 51-58, 1995.
  23. "On the uniqueness of capillary surfaces over an infinite strip" , Pacific J. Math. , 169, 95-105, 1995.
  24. "Growth property for the minimal surface equation in unbounded domains" , Proc. Amer. Math. Soc. , 121, 1027-1037, 1994.
  25. (with R. Finn) "On the comparison principle for capillary surfaces" , J. Fac. Sci. Univ. Toykyo Sect. I.A., Math. , 36, 131-134, 1989.
  26. "Comparison principles and Liouville theorems for prescibed mean curvature equations in unbounded domains, Annali Scuola Norm. Sup. Pisa, IV 15(1988), 341-355." , 1988.
  27. "Phragmen-Lindelof theorem for the minimal surface equation" , Proc. Amer. Math. Soc. , 104, 825-828, 1988.
  28. (with Tienchen Chu) "On trimming a triangle" , Chinese J. Math. , 8, 85-92, 1980.
Director & Deputy Director