Name
Duy-Minh Nhieu
Gender Male
Rank Professor
Education Ph.D., Purdue University
Tel 886-3-4227151 Ext. 65153
Fax 886-3-4257379
Office Room 421, Hong-Jing Building
E-mail dmnhieu@math.ncu.edu.tw
Homepage  
Field Geometry analysis, Real analysis
Experience
2007/08 ~ Professor, National Central University
2008/01 ~ 2009/05 Associate Professor, San Diego Christian College
2000/08 ~ 2007/12 Assistant Professor, Georgetown University
1996/12 ~ 2000/07 Assistant Research Fellow, Institute of Mathmatics, Academia Sinica
Honor
 
Selected
Publications
  1. joint with D. Danielli, N. Garofalo Sub-Riemannian Calculus and monotonicity of the perimeter for graphical strips,Math Z., Published online 21 April , 2009.
  2. (with Danielli, D.; Garofalo, N.; Pauls, S. D.) Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group $\Bbb H\sp 1$. J. Differential Geom. 81 (2009), no. 2, 251--295.
  3. joint with L. Capogna and N. Garofalo Mutual absolute continuity of harmonic andsurface measures for Hormander type operators Perspectives in Partial Differential Equations, Harmonic Analysis and Applications. In honor of Vladimir Maz'yas 70th birthday, 49--100, Proc. Sympos. Pure Math., 79, Amer. Math. Soc., Providence, RI, 2008.
  4. (with Danielli, D.; Garofalo, N.) A notable family of entire intrinsic minimal graphs in the Heisenberg group which are not perimeter minimizing. Amer. J. Math. 130 (2008), no. 2, 317--339.
  5. (with Danielli, Donatella; Garofalo, Nicola) A partial solution of the isoperimetric problem for the Heisenberg group. Forum Math. 20 (2008), no. 1, 99--143.
  6. (with Danielli, D.; Garofalo, N.) Sub-Riemannian calculus on hypersurfaces in Carnot groups. Adv. Math. 215 (2007), no. 1, 292--378.
  7. (with Danielli, Donatella; Garofalo, Nicola) Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Caratheodory spaces. Mem. Amer. Math. Soc. 182 (2006), no. 857, x+119 pp.
  8. (with Chang, Der-Chen; Chang, Eric C.; Fan, Haitao) Mathematical analysis of the two-color partial rainbow options. Appl. Anal. 84 (2005), no. 7, 737--757.
  9. (with Danielli, D.; Garofalo, N.; Tournier, F.) The theorem of Busemann-Feller-Alexandrov in Carnot groups. Comm. Anal. Geom. 12 (2004), no. 4, 853--886.
  10. (with Chang, Der-Chen) A difference equation arising from logistic population growth. Appl. Anal. 83 (2004), no. 6, 579--598.
  11. (with Danielli, Donatella; Garofalo, Nicola) Notions of convexity in Carnot groups. Comm. Anal. Geom. 11 (2003), no. 2, 263--341.
  12. (with Danielli, Donatella; Garofalo, Nicola) On the best possible character of the $L\sp Q$ norm in some a priori estimates for non-divergence form equations in Carnot groups. Proc. Amer. Math. Soc. 131 (2003), no. 11, 3487--3498
  13. (with Capogna, Luca; Garofalo, Nicola) Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type. Amer. J. Math. 124 (2002), no. 2, 273--306.
  14. The Neumann problem for sub-Laplacians on Carnot groups and the extension theorem for Sobolev spaces. Ann. Mat. Pura Appl. (4) 180 (2001), no. 1, 1--25.
  15. (with Danielli, Donatella; Garofalo, Nicola) Sub-elliptic Besov spaces and the characterization of traces on lower dimensional manifolds. Harmonic analysis and boundary value problems (Fayetteville, AR, 2000), 19--37, Contemp. Math., 277, Amer. Math. Soc., Providence, RI, 2001.
  16. (with Capogna, Luca; Garofalo, Nicola) Examples of uniform and NTA domains in Carnot groups. Proceedings on Analysis and Geometry (Russian) (Novosibirsk Akademgorodok, 1999), 103--121, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000.
  17. (with Danielli, Donatella; Garofalo, Nicola) Trace inequalities for Carnot-Caratheodory spaces and applications. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 27 (1998), no. 2, 195--252 (1999).
  18. (with Capogna, Luca; Garofalo Nicola) A version of a theorem of Dahlberg for the subelliptic Dirichlet problem. Math. Res. Lett. 5 (1998), no. 4, 541--549.
  19. (with Danielli, Donatella; Garofalo, Nicola) Isoperimetric and trace inequalities with respect to Carnot-Caratheodory metrics. Geometry Seminars, 1996--1997 (Italian) (Bologna), 51--62, Univ. Stud. Bologna, Bologna, 1998.
  20. (with Garofalo, Nicola) Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Caratheodory spaces. J. Anal. Math. 74 (1998), 67--97.
  21. (with Garofalo, Nicola) Isoperimetric and Sobolev inequalities for Carnot-Caratheodory spaces and the existence of minimal surfaces. Comm. Pure Appl. Math. 49 (1996), no. 10, 1081--1144.
  22. Extension of Sobolev spaces on the Heisenberg group. C. R. Acad. Sci. Paris Ser. I Math. 321 (1995), no. 12, 1559--1564.

 

 
Faculty
 
Sheu, shuenn Jyi
Meng-Kai Hong
Feng-Nan Hwang
Chin-Yuan Lin
Ming-Guang Leu
Chin-Cheng Lin
Jann-Long Chern
Cheng-Hsiung Hsu
Suh-Yuh Yang
Hong-Gwa Yeh
Yen-Mei J. Chen
Duy-Minh Nhieu
Hwa-Long Gau
Mei-Lin Yau
Fang, Xiang
Ming-Yi Lee
Hung-Lin Chiu
Jenn-Hwa Yu
Wei-Chang Shann
Yu-Sheng Hsu
Chia-Chang Hsiao
Re-Bin Rau
Wei-Han Wu
Sheng-Chyang Liaw
Ching-hsiao Cheng
Rung-Tzung Huang
Shang-Yuan Shiu
Yung-Ning Peng
Jheng-Jie Chen
Fu-Tsun Wei
Hau-Wen Huang
   
 
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