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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

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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) 9 Wang(NonlinearAnalysis1994) Adobe PDF 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) 25 Wang&Yeh(NonlinearAnalysis2006) Adobe 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) 26 Wang(NonlinearAnalysis2007) Adobe 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) 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

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