林惠莉（Huei-Li Lin）教授

聯絡方式

• Email: hlin@mail.cgu.edu.tw
• 研究室: 管理大樓8F 通識中心
• 電話: 03-2118800 ext 5042
• 地址: 桃園縣龜山鄉文化一路259號 長庚大學

本學年度教授課程

• 114學年度第二學期 微積分
  • 化材系
  • 醫放系

講義下載

• 工學院&醫學院學生具備的核心能力
• 課程補充
• Stewart習題

履歷

• 現職及與專長相關之經歷
  • [2012-present] Chang Gung University, Professor.
  • [2007-2012] Chang Gung University, Associate Professor.
  • [2003-2007] Chang Gung University, Assistant Professor.
  • [2006-2010] 教務處研究生教務組組長


• 學術專長暨研究領域
  • 偏微分方程
  • 分析


• 學歷
  • [Ph.D.] National Tsing Hua University, Taiwan, 2003
  • [M.S.] National Tsing Hua University, Taiwan, 1999
  • [B.A.] National Tsing Hua University, Taiwan, 1997


• 國科會研究計畫和榮譽
  • 有潛伏期傷寒的週期性反應擴散模型(2025-2026)
  • 潛伏期對傷寒傳播的影響(2024-2025)
  • 反應擴散方程組模擬傷寒之傳播(2022-2023)
  • 區域異質性及溫度變化對傷寒傳播影響之數學建模(2021-2022)
  • 係數函數影響四階橢圓方程之多解性(2019-2020)
  • 含擾動四階Kirchhoff type橢圓方程多解之存在性(2018-2019)
  • 係數函數影響含變數指數拉普拉斯算子方程之多解性(2017-2018)
  • 含變數指數拉普拉斯算子橢圓方程之弱解存在性(2016-2017)
  • 擬線性橢圓方程含變數指數之多解存在性及其應用(2015-2016)
  • 二階漢米爾頓系統同宿軌道解之研究(2013-2014)
  • 102年度長庚大學優良教師研究獎
  • 係數函數影響擬線性橢圓系統組多個正解存在之研究(2012-2013)
  • 非線性橢圓系統組多解存在之研究(2011-2012)
  • 含凹和臨界指數的非線性橢圓方程之多解性研究(2/2)(2010-2011)
  • 含凹和臨界指數的非線性橢圓方程之多解性研究(1/2)(2009-2010)
  • 擬線性橢圓問題的正解多解性(2/2)(2008-2009)
  • 擬線性橢圓問題的正解多解性(1/2)(2007-2008)
  • 非齊次橢圓方程邊界問題的多解性(2006-2007)
  • 在艾斯德班-理昂區域上半線性橢圓方程解的存在性與多重性(2005-2006 共同主持人)
  • 半線性橢圓方程解的存在性與多解性(2004-2005)
  • 半線性橢圓方程的擾動與多解性(2003-2004)
  • 97年度長庚大學優良教師教學獎
  • 96年度長庚大學優良教師研究獎

論文著述

• 期刊論文
  
  
  • (1) H.L. Lin, Y.C. Shyu, C.L. Lin, F.B. Wang*, "A Reaction-diffusion System Modeling the Transmission of Typhoid Fever in a Periodic Environment", Applied and Computational Mathematics, 13:2 (2024) 38- 52. SCI
  • (2) H. L. Lin, K.H. Lin, Y.C. Shyu, F.B. Wang*, "Impacts of Seasonal and Spatial Variations on the Transmission of Typhoid Fever", Applied and Computational Mathematics, 12:2 (2023) 26- 41. SCI
  • (3) H. L. Lin, F.B. Wang*, “Global dynamics of a nonlocal reaction–diffusion system modeling the West Nile virus transmission”, Nonlinear Analysis: Real World Applications, 46, (2019), 352–373. SCI
  • (4) H. L. Lin and F. B. Wang*, “On a reaction–diffusion system modeling the dengue transmission with nonlocal infections and crowding effects”, Applied Mathematics and Computation, 248 (2014), 184-194. SCI
  • (5) T. S. Hsu* and H. L. Lin, “Multiplicity of positive solutions for a p-q- Laplacian type equation with critical nonlinearities”, Abstract and Applied Analysis, (2012), Article ID 829069, 9 pages. SCI
  • (6) H. L. Lin*,“Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in RN ” , Boundary Value Problems, 2012:118, (2012), 1-28. SCI
  • (7) H. L. Lin*, “Multiple positive solutions for semilinear elliptic systems”, Journal of Mathematical Analysis and Applications, 391, (2012), 107-118. SCI
  • (8) H. L. Lin*, “Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in R{N}”, Boundary Value Problems, 2012:24, (2012), 1-17. SCI
  • (9) T. S. Hsu, H. L. Lin* and C. C. Hu, “Multiple positive solutions of quasilinear elliptic equations in R{N}”, Journal of Mathematical Analysis and Applications, 388, (2012), 500-512. SCI
  • (10) H. L. Lin*, “Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent ”, Nonlinear Analysis: T.M.A., 75, (2012), 2660-2671. SCI
  • (11) T. S. Hsu and H. L. Lin*, “Multiple positive solutions of semilinear elliptic boundary value problems in the half space ”, Nonlinear Analysis: T.M.A., 75, (2012), 304-316. SCI
  • (12) T. S. Hsu and H. L. Lin*, “Three positive solutions of semilinear elliptic problems involving concave and convex nonlinearities”, Proceedings of the Royal Society of Edinburgh, 142A, (2012), 115-135. SCI
  • (13) T. S. Hsu* and H. L. Lin, “Multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ”, Abstract and Applied Analysis, (2012), Article ID 579481, 19 pages. SCI
  • (14) T. S. Hsu* and H. L. Lin, “Multiple solutions for quasilinear elliptic equations in unbounded cylinder domains”, Taiwanese Journal of Mathematics, 16, (2012), 409-428. SCI
  • (15) T. S. Hsu and H. L. Lin*, “Multiple positive solutions of semilinear elliptic problems in exterior domains ”, Boundary Value Problems, (2010), Article ID 524862, 21 pages. SCI
  • (16) T. S. Hsu* and H. L. Lin, “Multiple positive solutions for semilinear elliptic equations in R{N} involving concave-convex nonlinearities and sign-changing weight functions ”, Abstract and Applied Analysis, (2010), Article ID 658397, 21 pages. SCI
  • (17) H. L. Lin, “Multiple solutions of quasilinear elliptic equations in R{N}”, International Journal of Differential Equations, (2010), Article ID 673526, 12 pages.
  • (18) T. S. Hsu* and H. L. Lin, “Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev-Hardy exponents ”, Proceedings of the Royal Society of Edinburgh, 140A, (2010), 617-633. SCI
  • (19) T. S. Hsu and H. L. Lin*, “Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in R{N}”, Journal of Mathematical Analysis and Applications, 365, (2010), 758-775. SCI
  • (20) T. Li, H. L. Lin and T. F. Wu*, “Existence of 2-nodal solutions for semilinear elliptic equations in unbounded domains ”, Advanced Nonlinear Studies, 10, (2010), 1-21. SCI
  • (21) T. S. Hsu* and H. L. Lin, “Multiple positive solutions for a critical elliptic system with concave-convex nonlinearities ”, Proceedings of the Royal Society of Edinburgh, 139A, (2009), 1163-1177. SCI
  • (22) T. S. Hsu* and H. L. Lin, “Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights ”, Boundary Value Problem, (2009), Article ID 584203, 17 pages. SCI
  • (23) T. S. Hsu* and H. L. Lin, “Existence of multiple positive solutions of semilinear elliptic boundary value problems in the half space”, Nonlinear Analysis: T.M.A., 70, (2009), 849-865. SCI
  • (24) H. L. Lin*, “Multiple solutions of semilinear elliptic equations in exterior domains ”, Proceedings of the Royal Society of Edinburgh, 138A, (2008), 531-549. SCI
  • (25) T. S. Hsu and H. L. Lin*, “Three positive solutions of semilinear elliptic equations in exterior cylinder domains”, Journal of Mathematical Analysis and Applications, 332, (2007), 814-832. SCI
  • (26) H. L. Lin, H. C. Wang* and T. F. Wu, “Three positive solutions of nonhomogeneous semilinear elliptic equations ”, Journal of Mathematical Analysis and Applications, 331, (2007), 1033-1045. SCI
  • (27) T. S. Hsu* and H. L. Lin, “Eigenvalue problems of nonhomogeneous semilinear elliptic equations in Esteban-Lions domains with holes ”, Journal of Mathematical Analysis and Applications, 330, (2007), 1273-1292. SCI
  • (28) H. L. Lin and W. C. Wang*, “A Palais-Smale approach to Lane-Emden equations ”, Journal of Mathematical Analysis and Applications, 330, (2007), 1220-1237. SCI
  • (29) H. L. Lin*, H. C. Wang and T. F. Wu, “Four positive solutions of semilinear elliptic equations in exterior domains ”, Nonlinear Analysis: T.M.A., 67, (2007), 1129-1146. SCI
  • (30) H. L. Lin, “Three positive solutions of semilinear elliptic equations in the half space with a hole”, Journal of Differential Equations, 230, (2006), 614-633. SCI
  • (31) T. S. Hsu and H. L. Lin*, “Multiple solutions for some Neumann problems in exterior domains”, Bulletin of the Australian Mathematical Society, 73, (2006), 353-364. SCI
  • (32) T. S. Hsu* and H. L. Lin, “Bifurcation of positive entire solutions for a semilinear elliptic equation”, Bulletin of the Australian Mathematical Society, 72, (2005), 349-370. SCI
  • (33) H. L. Lin and H. C. Wang*, “Existences, asymptotic behaviors and symmetric properties of solutions of semilinear elliptic equations in flat flask domains”, International Journal of Pure and Applied Mathematics, 4, (2003), 281-305.
  • (34) H. L. Lin, H. C. Wang* and T. F. Wu, “A Palais-Smale approach to Sobolev subcritical operators ”, Topological Methods in Nonlinear Analysis, 20, (2002), 393-407.
  • (35) C. I. Lin, H. L. Lin* and H. C. Wang, “Existence of Solution of Semilinear Elliptic Equations in a Flat Interior Flask Domain”, Dynamics of Continuous, Discrete and Impulsive Systems, 10a, (2003), 81-90.
  • (36) M. C. Chen, H. L. Lin and H. C. Wang*, “Vitali convergence theorem and Palais Smale conditions”, Differential and Integral Equations, 15 (2002), 641-656.


• 專書及專書論文
  • (1) H. L. Lin, “On the Palais Smale conditions with applications to semilinear elliptic equations”,Ph. D. Thesis, Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan


• 研討會論文
  • (1) H. L. Lin, “A Palais-Smale approach to Lane-Emden equations”, Proceedings of Mathematics Conference, Fu-Jen University, Taipei, Taiwan, R.O.C., (1999), 257-264.
  • (2) H. L. Lin, H. C. Wang and T. F. Wu, “A Palais-Smale approach to Sobolev subcritical operators”, 第十一屆微分方程研討會, 靜宜大學, Taichung, (2002), 343-356.
  • (3) H. L. Lin, “Multiple solutions of semilinear elliptic equations in exterior domains ”, The 6th Taiwan-Philippine Symposium on Analysis, (2005).