§  Differential Equations

§  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

§  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

§  The Mathematical Society of the Republic of China

§  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』

§  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

§  94學年度數學所／碩士　王鳳麟

§  95學年度數學所／碩士　黃韋強

§  97學年度數學所／碩士　洪國智

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.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) 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) 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 Pei-Yu Huang and Ming-Ting Shieh) (SCI) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) PDF