學歷 美國紐約州立大學水牛城分校,數學系,博士

經歷 國立清華大學,數學系,教授,1994/08- , 國立清華大學,數學系,副教授,1988/08-1994/01, 中央研究院,數學研究所,研究助理,1983/09-1984/06

研究專長 微分方程

指導學生 80 學年度 數學所 碩士 龍道民 『Bifurcation of positive solutions of a generalized Gelfand problem』 80 學年度 應數所 碩士 謝坤家 『Bifurcation of positive solutions of some classes of nonlinear two-point boundary value problems』 81 學年度 數學所 碩士 厲復平 『Bifurcation of an equation from catalysis theory』 86 學年度 數學所 碩士 劉月增 『On the bifurcation curve of boundary blow-up solutions of a boundary value problems』 88 學年度 數學所 碩士 謝明廷 『Necessary and sufficient conditions for the existence of solutions of a boundary blow-up problem』 89 學年度 數學所 碩士 卓益安 『An explicit formula and asymptotic behaviors of bifurcation curve of a boundary blow-up problem』 90 學年度 數學所 碩士 黃佩瑜 『On necessary and sufficient conditions for the existence of solutions of a p-laplacian boundary blow-up problem』 90 學年度 數學所 碩士 余彩璃 『Asymptotic behaviors of the bifurcation curve for a p-laplacian boundary blow-up problem』 91 學年度 數學所 碩士 李信儀 『On necessary and sufficient conditions for the existence of dead core solutions of a two point boundary value problem』 91 學年度 數學所 碩士 夏文茵 『The structure of the solution set of a generalized ambrosetti-brezis-cerami problem in one space variable』 91 學年度 數學所 博士 葉宗鑫 『Structure of the solution set of a generalized Ambrosetti- Brezis-Cerami problem in one space variable』 現任：國立臺南大學應用數學系專任副教授 92 學年度 數學所 碩士 葉秋萍 『On necessary and sufficient conditions for the existence of dead core solutions of a two point p-laplacian boundary value problem』 94 學年度 數學所 碩士 劉仲益 『A complete claasification of bifurcation diagrams of a p-Laplacian Dirichlet problem』 94 學年度 數學所 碩士 王鳳麟 『A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem. II. Generalized nonlinearities』 95 學年度 數學所 碩士 黃韋強 『On the Evolution and Qualitative Behaviors of Bifurcation Curves for a Boundary Value Problem. II』 97 學年度 數學所 博士 洪國智 『Global bifurcation and exact multiplicity of positive solutions for some classes of p-Laplacian multiparameter problems』 現任：國立勤益科技大學基礎通識教育中心專任助理教授 98 學年度 數學所 碩士 曾至均 現任：國立交通大學應用數學系博士生 98 學年度 數學所 碩士 余建賢 98 學年度 數學所 碩士 莊家豪 99 學年度 數學所 碩士 陳志淵 103 學年度 數學所 碩士 朱鳳彬 103 學年度 數學所 碩士 郭達昌

研討會論文 1. AIMS\' fifth international conference on Dynamical Systems and Differential Equations, California State Polytechnic University, Pomona, California, U.S.A., June 16 -19, 2004 (Invited talk, 20 min.).

2. 5th Taiwanese-Philipine Symposium in Mathematics, Exact multiplicity and ordering of positive solutions of a p-Laplacian Dirichlet problem and their applications, Silang Cavite, Philippines, Oct. 22-26, 2003 (Invited talk, 25 min.).

3. ICM2002, Satellite Conference on Nonlinear Functional Analysis, Taiyuan, Sanxi, China, Aug. 14-18, 2002 (Invited talk, 35 min.).

4. The International Congress of Mathematics 2002, Beijing, China, Aug. 20-28, 2002 (Oral presentation).

5. The 2001 International Conference on Mathematics, National Chung-Hsing University, Taichung, Taiwan, Nov. 23-25, 2001 (Oral presentation).

6. International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, London, Ontario, Canada, July 27-31, 2001 (Oral presentation).

7. The Third Sino-Philippine Symposium in Analysis, University of the Philippines-Diliman, Manila, March 21-25, 2000 (Invited talk) (Oral presentation).

8. 1999 International Conference on Nonlinear Analysis, Academia Sinica, Taipei, Oct. 16-20, 1999 (Oral presentation).

9. The Fourth International Conference on Industrial and Applied Mathematics, Edinburgh, Scotland, United Kingdoms, July 5-9, 1999 (Oral presentation).

10. The Second Korean-Taiwan Joint Workshop on Partial Differential Equations, Seoul National University, Seoul, Korea, Jan. 28-30, 1999 (Invited talk).

11. The International Workshop on Differential Equations and Scientific Computations, National Taiwan Normal University, Taipei, Taiwan, Jan. 15-18, 1998 (Invited talk).

12. The Second Taiwan-Philippine Symposium in Analysis, Hsinchu, Taiwan, June 2-5, 1997 (Invited talk).

13. Joint Australian-Taiwanese Workshop on Analysis and Applications, Brisbane, Australia, March 31-April 3, 1997 (Oral presentation).

14. The Second World Congress of Nonlinear Analysts, Athens, Greece, July 10-17, 1996 (Oral presentation). 15. International Mathematics Conference \'94, National Sun Yat-sen University, Kaohsiung, Taiwan, Dec. 2-5, 1994 (Oral presentation).

16. Sino-Japanese Joint Seminar on Nonlinear Partial Differential Equations and Applications, Kyoto University, Kyoto, Japan, Jan. 10-14, 1994 (Invited talk).

17. Sino-Australian Joint Workshop on Nonlinear Analysis, National Chiao-Tung University, Hsinchu, Taiwan, April 12-15, 1993 (Oral presentation). 18. Deuxième Rencontre Franco-Taiwanaise D′E.D.P. Non Linéaires et Applications, École Normale Supérieure, Paris, France, Oct. 19-23, 1992 (Invited talk).

19. The Second International Conference on Industrial and Applied Mathematics, Washington, D. C., U.S.A., July 8-12, 1991 (Oral presentation).

20. Sino-Japanese Joint Seminar on Nonlinear Partial Differential Equations-with Emphasis on Reaction-Diffusion Aspects, Academia Sinica, Taipei, Dec. 3-7, 1990 (Invited session chairman).

21. Republic of China-South Africa Symposium on Differential Equations, Academia Sinica, Taipei, Aug. 6-8, 1990 (Invited talk). 期刊論文 1. A correction for a paper by J. Smoller and A. Wasserman, J. Differential Equations 77 (1989), 199-202. (SCI)

1 Wang(JDE1989) Adobe PDF

2. On positive solutions of some semilinear elliptic equations, J. Austral. Math. Soc. (Series A) 50 (1991), 343-355. (with N. D. Kazarinoff) (SCI)

2 Wang(JAustralianMathSoc1991) Adobe PDF

3. Bifurcation and stability of positive solutions of a two-point boundary value problem, J. Austral. Math. Soc. (Series A) 52(1992),334-342. (with N. D. Kazarinoff) (SCI)

3 Wang(JAustralianMathSoc1992) 334--342 Adobe PDF

4. Bifurcation of steady-state solutions of a scalar reaction-diffusion equation in one space variable, J. Austral. Math. Soc. (Series A) 52 (1992), 343-355. (with N. D. Kazarinoff) (SCI)

4 Wang(JAustralianMathSoc1992) 343--355 Adobe PDF

5. Bifurcation of positive solutions of generalized nonlinear undamped pendulum problems, Bull. Inst. Math. Acad. Sinica 21 (1993), 211-227.

5 Wang(BulletinInstMathAcadSinica1993) Adobe PDF

6. Remarks on the monotonicity and convexity of the time maps of some two-point boundary value problems, Chinese J. Math. 21 (1993), 259-269. (SCI)

6 Wang(ChineseJMath1993) Adobe PDF

7. On the time map of a nonlinear two-point boundary value problem, Differential and Integral Equations 7 (1994), 49-55.

7 Wang(DiffIntegralEquations1994) Adobe PDF

8. Positive solutions for a class of nonpositone problems with concave nonlinearities, Proc. Roy. Soc. Edinburgh 124A (1994), 507-515. (SCI)

8 Wang(ProcRoyalSocEdinburgh1994) Adobe PDF

9. On S-shaped bifurcation curves, Nonlinear Analysis, Theory, Methods & Applications 22 (1994), 1475-1485. (SCI)

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10. Bifurcation of an equation from catalysis theory, Nonlinear Analysis, Theory, Methods & Applications 23 (1994), 1167-1187. (with F.-P. Lee) (SCI)

10 Wang&Lee(NonlinearAnalysis1994) Adobe PDF

11. Bifurcation of an equation arising in porous medium combustion, IMA J. Appl. Math. 56 (1996), 219-234. (SCI)

11 Wang(IMAAppliedMathematics1996) Adobe 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)

12 Wang(ProcRoyalSocLondon1998) Adobe 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)

13 Wang(NonlinearAnalysis2000) Adobe PDF

14. Existence and multiplicity of an equation from pool boiling on wires, Quarterly of Applied Mathematics 58 (2000), 331-354. (SCI)

14 Wang(QuarterlyOfAppliedMathematics2000) Adobe 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)

15 Wang&Long(NonlinearAnalysis2001) Adobe 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)

16 WangLiu&Cho(DCDIS2003) Adobe 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)

17 Addou&Wang(NonlinearAnalysis2003) Adobe 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), 380-39. (with T.-S. Yeh) (SCI)

18 Wang&Yeh(JMAA2003) Adobe 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)

19 Wang&Yeh(DiffIntegralEquations2004) Adobe 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)

20 Wang&Yeh(JMAA2004) Adobe PDF

21. Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities, Electronic Journal of Differential Equations 2004 (2004), No. 72, 1-25. (with I. Addou)

21 Addou&Wang(EJDE2004) Adobe PDF

22. Shape and Structure of the Bifurcation Curve of a Boundary Blow-up Problem, accepted to appear in Taiwanese Journal of Mathematics, 2005. (with Y.-T. Liu) (SCI)

22 Wang&Liu(TaiwanJMath2005) Adobe 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)

23 LeeWang&Ye(DCDS2005) Adobe 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)

24 HsiaWang&Yeh(JMAA2006) Adobe 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)

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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)

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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)

27 LeeLiuWangYe(JMAA2007) Adobe 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)

28 Wang&Yeh(RockyMountainJMath2007) Adobe 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)

29 Shi&Wang(ComputerMathAppl2007) Adobe PDF

30. Exact multiplicity of solutions and S-shaped bifurcation curves for the p-Laplacian perturbed Gelfand problem in one space variable, Journal of Mathematical Analysis and Applications, 342 (2008), 1175-1191. (with Tzung-Shin Yeh) (SCI)

30 Wang&Yeh(JMAA2008) Adobe PDF

31. On the evolution and qualitative behaviors of bifurcation curves for a boundary value problem. II, Nonlinear Analysis, Theory, Methods & Applications. (2008) (with W.-C. Huang) (SCI)

31 Huang&Wang(NonlinearAnalysis2008) Adobe PDF

32. Explicit necessary and sufficient conditions for the existence of nonnegative solutions of a p-Laplacian boundary blow-up problem, Taiwanese Journal of Mathematics, 13 (2009). (with P.-Y. Huang and M.-T. Shieh) (SCI)

32 HuangShiehWang(TaiwaneseJMath2009) Adobe PDF

33. A theorem on reversed S-shaped bifurcation curves for a class of boundary value problems and its application,Nonlinear Analysis 71 (2009), 126-140. (with Tzung-Shin Yeh) (SCI)

33 Wang&Yeh(NonlinearAnalysis2009) Adobe PDF

34. A complete classification of bifurcation diagrams of classes of a multiparameter Dirichlet problem with concave-convex nonlinearities, Journal of Mathematical Analysis and Applications, 349 (2009), 113-134. (with Kuo-Chih Hung) (SCI)

34 Hung&Wang(JMAA2009) Adobe PDF

35. A complete classification of bifurcation diagrams of classes of multiparameter p-Laplacian boundary value problems, Journal of Differential Equations, 246 (2009), 1568-1599. (with Kuo-Chih Hung) (SCI)

35 Hung&Wang(JDE2009) Adobe PDF

36. Classification of bifurcation diagrams of a p-Laplacian Dirichlet problem with examples, Journal of Mathematical Analysis and Applications, 369 (2010), 188-204. (with Tzung-Shin Yeh) (SCI)

36 Wang&Yeh(JMAA2010) Adobe PDF

37. Bifurcation diagrams of a p-Laplacian Dirichlet problem with Allee effect and an application to a diffusive logistic equation with predation, Journal of Mathematical Analysis and Applications, 375 (2011), 294-309. (with Kuo-Chih Hung) (SCI)

37 Hung&Wang(JMAA2011) Adobe PDF

38. Classification and evolution of bifurcation curves for a multiparameter p-Laplacian Dirichlet problem, Nonlinear Analysis, 74 (2011), 3589-3598. (with Kuo-Chih Hung) (SCI)

38 Hung&Wang(NonlinearAnalysis2011) Adobe PDF

39. A theorem on S-shaped bifurcation curve for a positone problem with convex-concave nonlinearity and its applications to the perturbed Gelfand problem, Journal of Differential Equations, 251 (2011), 223-237. (with Kuo-Chih Hung) (SCI)

39 Hung&Wang(JDE2011) Adobe PDF

40. A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem. II. Generalized nonlinearities, Taiwanese Journal of Mathematics, 16 (2012), 1265-1291. (with Feng-Lin Wang) (SCI)

40 Wang&Wang(TAIWANESE JOURNAL OF MATHEMATICS 2012) Adobe PDF

41. On the existence of a double S-shaped bifurcation curve with six positive solutions for a combustion problem, Journal of Mathematical Analysis and Applications, 392 (2012), 40-54. (K.-C. Hung and C.-H. Yu) (SCI)

41 Hung&Wang&Yu(JMAA2012) Adobe PDF

42. Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity, Journal of Differential Equations, 252 (2012), 6250-6274. (with C.-C. Tzeng and K.-C. Hung) (SCI)

42 Tzeng&Hung&Wang(JDE2012) Adobe PDF

43. Classification of bifurcation diagrams of a p-Laplacian nonpositone problem, Communications on Pure and Applied Analysis, 12 (2013), 2297-2318. (with P.-C. Huang and T.-S. Yeh) (SCI)

43 Huang&Wang&Yeh(CPAA2013) Adobe PDF

44. Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications, Transactions of the American Mathematical Society, 365 (2013), 1933-1956. (with Kuo-Chih Hung) (SCI)

44 Hung&Wang(TransactionsAMS2013) Adobe PDF

45. S-shaped bifurcation curves for a combustion problem with general Arrhenius reaction-rate laws, Communications on Pure and Applied Analysis, accepted to appear. ( 2013) (with C.-Y. Chen and K.-C. Hung) (SCI)

45 Chen&Hung&Wang(CPAA2013) Adobe PDF

46. S-shaped and broken S-shaped bifurcation diagrams for a multiparameter spruce budworm population problem in one space dimension, Journal of Differential Equations, 255 (2013), 812-839. (with Tzung-Shin Yeh) (SCI)

46 Wang&Yeh(JDE2013) Adobe PDF

47. Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS, Nonlinear Analysis, 89 (2013), 284-298. (with Y.-H. Cheng and K.-C. Hung) (SCI)

47 Cheng&Hung&Wang(NonlinearAnalysis2013) Adobe PDF