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

• 113學年度第一學期 微積分
  • 化材系
  • 醫放系(和醫技系合開)
  • 醫工系(和呼治系合開)

• 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(原本是科技部 改為國科會)
  • 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.




1. 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
2. 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).