Shin-Hwa Wang Professor of Mathematics Department of Mathematics National Tsing Hua University, Taiwan, Republic of China E-Mail: shwang@math.nthu.edu.tw Phone: (886) 3 - 5731042 Fax: (886) 2 - 5723888

RESEARCH INTERESTS

• Differential Equations

EDUCATION

• 1988 PH.D. State University of New York at Buffalo, U.S.A.
• 1986 M.S. State University of New York at Buffalo, U.S.A.
• 1981 B.S. National Taiwan University, Taipei, Taiwan

PROFESSIONAL EMPLOYMENTS

• 1994/08 - Professor, Department of Mathematics, National Tsing Hua University, Republic of China
• 1988/09 - 1994/07 Associate Professor, Department of Mathematics, National Tsing Hua University, Republic of China
• 1984/09 - 1988/06 Teaching Assistant, Department of Mathematics, State University of New York at Buffalo, U.S.A.
• 1983/07 - 1984/06 Research Assistant, Institute of Mathematics, Academia Sinica

MEMBER

• The Mathematical Society of the Republic of China

REFERRED JOURNAL PAPERS: PDF Files

1. A correction for a paper by J. Smoller and A. Wasserman, Journal of Differential Equations 77 (1989), 199--202. (SCI) PDF
2. On positive solutions of some semilinear elliptic equations, Journal of the Australian Mathematical Society (Series A) 50 (1991), 343--355. (with N. D. Kazarinoff) (SCI) PDF
3. Bifurcation and stability of positive solutions of a two-point boundary value problem, Journal of the Australian Mathematical Society (Series A) 52 (1992), 334--342. (with N. D. Kazarinoff) (SCI) PDF
4. Bifurcation of steady-state solutions of a scalar reaction-diffusion equation in one space variable, Journal of the Australian Mathematical Society (Series A) 52 (1992), 343--355. (with N. D. Kazarinoff) (SCI) PDF
5. Bifurcation of positive solutions of generalized nonlinear undamped pendulum problems, Bulletin of the Institute of Mathematics, Academia Sinica 21 (1993), 211--227. PDF
6. Remarks on the monotonicity and convexity of the time maps of some two-point boundary value problems, Chinese Journal of Mathematics 21 (1993), 259--269. PDF
7. On the time map of a nonlinear two-point boundary value problem, Differential and Integral Equations 7 (1994), 49--55. PDF
8. Positive solutions for a class of nonpositone problems with concave nonlinearities, Proceedings of the Royal Society of Edinburgh 124A (1994), 507--515. (SCI) PDF
9. On S-shaped bifurcation curves, Nonlinear Analysis, Theory, Methods & Applications 22 (1994), 1475--1485. (SCI) PDF
10. Bifurcation of an equation from catalysis theory, Nonlinear Analysis, Theory, Methods & Applications 23 (1994), 1167--1187. (with F.-P. Lee) (SCI) PDF
11. Bifurcation of an equation arising in porous medium combustion, IMA Journal of Applied Mathematics 56 (1996), 219--234. (SCI) PDF
12. Rigorous analysis and estimates of S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws, Proceedings of the Royal Society of London, Series A 454 (1998), 1031--1048. (SCI) PDF
13. Existence and multiplicity of boundary blow-up nonnegative solutions to two-point boundary value problems, Nonlinear Analysis, Theory, Methods & Applications 42 (2000), 139--162. (SCI) PDF
14. Existence and multiplicity of an equation from pool boiling on wires, Quarterly of Applied Mathematics 58 (2000), 331--354. (SCI) PDF
15. An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problems, Nonlinear Analysis, Theory, Methods & Applications 44 (2001), 469--486. (with D.-M. Long) (SCI) PDF
16. An explicit formula of the bifurcation curve for a boundary blow-up problem, Dynamics of Continuous, Discrete and Impulsive Systems Ser. A Math. Anal. 10 (2003), 431--446. (with Y.-T. Liu and I-A. Cho) (SCI Expanded) PDF
17. Exact multiplicity results for a p-Laplacian problem with conacve-convex-concave nonlinearities, Nonlinear Analysis, Theory, Methods & Applications 53 (2003), 111--137. (with I. Addou) (SCI) PDF
18. Exact multiplicity and ordering properties of positive solutions of a p-Laplacian Dirichlet problem and their applications, Journal of Mathematical Analysis and Applications 287 (2003), 380--398. (with T.-S. Yeh) (SCI) PDF
19. On the exact structure of positive solutions of an Ambrosetti-Brezis-Cerami problem and its generalization in one space variable, Differential and Integral Equations 17 (2004), 17--44. (with T.-S. Yeh) PDF
20. A complete classification of bifurcation diagrams of a Dirichlet problem with concave-convex nonlinearities, Journal of Mathematical Analysis and Applications 291 (2004), 128--153. (with T.-S. Yeh) (SCI) PDF
21. Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities, Electronic Journal of Differential Equations 2004 (2004), 1--25. (with I. Addou) PDF
22. Shape and structure of the bifurcation curve of a boundary blow-up problem, Taiwanese Journal of Mathematics 9 (2005), 201--214. (with Y.-T. Liu) (SCI) PDF
23. Explicit necessary and sufficient conditions for the existence of a dead core solution of a p-Laplacian steady-state reaction-diffusion problem, Discrete and Continuous Dynamical Systems - Series A, Supplement Volume, 2005, 587--596. (with S.-Y. Lee and C.-P. Ye) (SCI) PDF
24. The structure of the solution set of a generalized Ambrosetti-Brezis-Cerami problem in one space variable, Journal of Mathematical Analysis and Applications 313 (2006), 441--460. (with W.-Y. Hsia and T.-S. Yeh) (SCI) PDF
25. A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem, Nonlinear Analysis, Theory, Methods & Applications 64 (2006), 2412--2432. (with T.-S. Yeh) (SCI) PDF
26. On the evolution and qualitative behaviors of bifurcation curves for a boundary value problem, Nonlinear Analysis, Theory, Methods & Applications 67 (2007), 1316--1328. (SCI) PDF
27. A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem, Journal of Mathematical Analysis and Applications 330 (2007), 276--290. (with S.-Y. Lee, J.-Y. Liu, and C.-P. Ye) (SCI) PDF
28. Exact structure of positive solutions for a p-Laplacian problem involving singular and superlinear nonlinearities, Rocky Mountain Journal of Mathematics 37 (2007), 689--708. (with T.-S. Yeh) (SCI Expanded) PDF
29. Exact multiplicity of boundary blow-up solutions for a bistable problem, Computers and Mathematics with Applications 54 (2007), 1285-1292. (with J. Shi) (SCI) PDF
30. On the evolution and qualitative behaviors of bifurcation curves for a boundary value problem. II, Nonlinear Analysis, Theory, Methods & Applications, in press. (with W.-C. Huang) (SCI) PDF
31. Explicit necessary and sufficient conditions for the existence of nonnegative solutions of a p-Laplacian boundary blow-up problem, accepted to appear in Taiwanese Journal of Mathematics, 2008. (with P.-Y. Huang and M.-T. Shieh ) (SCI)
32. Exact multiplicity of solutions and S-shaped bifurcation curves for the p-Laplacian perturbed Gelfand problem in one space variable, accepted to appear in Journal of Mathematical Analysis and Applications, 2008. (with T.-S. Yeh) (SCI)