1. Puplication
   
   
1. Journal Papers
   
   
1. Generalized zeros of operators and applications (with Duong Minh Duc and Nguyen Hoang Loc) Vietnam J. Math. 32 (2004), Special Issue, pp. 87--96.
   
   
2. Topological degree for a class of operators and applications (with Duong Minh Duc and Nguyen Hoang Loc) Nonlinear Analysis Vol 57 (2004), Issue 4.
   
   
3. Lagrange multipliers for functions derivable along directions in linear subspace (with Le Hai An, Pham Xuan Du and Duong Minh Duc, Proc. Amer. Math. Soc. 133 (2005), no. 2, pp. 595--604.
   
   
4. On global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems in domains of arbitrary dimensions , Proc. Amer. Math. Soc. 135 (2007), pp. 3933-3941.
   
   
5. On global existence of solutions to a cross-diffusion system , J. Math. Anal. App. Vol 343, Issue 2, 15 July 2008, pp. 826-834.
   
   
6. Stable Directions for Degenerate Excited States of Nonlinear Schödinger Equations (with Stephen Gustafson) SIAM J. of Math. Analysis,  Vol. 43, no. 4 (2011), pp. 1716-1758, [Arxiv].
   
   
7. A Remark on Global Existence of Solutions of Shadow Systems, Journal of Applied Mathematics and Physics (ZAMP), DOI:10.1007/s00033-011-0149-9,  [Preprint].
   
   
2. Preprints
   
   
1. Small Solutions of Nonlinear Schrödinger Equations Near First Excited States (with Kenji Nakanishi and Tai-Peng Tsai), 72 pages, submitted [Preprint Version] & [Revised Version].
   
   
2. Normal Form for Symmetry Breaking Bifurcation in the Gross-Pitaevskii Equation (with D.E. Pelinovsky), 28 pages, submitted, [Arxiv Version], [Revised Version].
   
   
3. Optimal Control of Advection Direction on Reaction - Diffusion Population Models (with H. Finotti & S. Lenhart), 29 pages,  submitted (PDF).
   
   
4. Stationary Navier-Stokes Equations with Critically Singular External Forces: Existence and Stability Results (with Nguyen Cong Phuc),
   25 pages, submitted (PDF).
   
   
5. Classification of Asymptotic Profiles for Nonlinear Schrodinger Equations with Many Excited States (with K. Nakanishi and T. P. Tsai),
   will be submitted shortly (PDF).
   
   
3. Others
   
   
1. Ljusternik theorem for non-differentiable functionals, B.S. Thesis, University of Science , Vietnam National Unversity - Ho Chi Minh City (2000) [pdf].
   
   
2. On Global Existence of Solutions to a Cross-Diffusion System, Ph.D. Thesis, University of Minnesota , July 2007 [pdf].
   
   
2. On Going Projects
   
   
• Stable Maniflods for Degenerate Nonlinear Excited States.
  
• Optimal Control Problems (with Suzanne Lenhart).
• Decay of Solutions of Wave Equations (with Grozdena Todorova).
• Existence of Positive Solutions of Nonlinear Bi-Laplace Equations (with Xiaobing Feng).
• Stationary Navier Stokes Equation in Exterior Domains (with N. C. Phuc)
• Normal Forms for the Critical Quasi Geostrophic Equations (with L. Hoang and T. Nguyen)
  

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