DAM Home NUK Home NUK Logo
DAM Logo

吳宗芳 Tsung-fang Wu

Title Associate Professor
Phone (07)5919519
Fax (07)5919344
E-Mail tfwu@nuk.edu.tw
Homepage
Office Room 422, College of Science
  Education 國立清華大學數學系博士
國立清華大學數學系應數組碩士
中原大學數學系純數組學士		 top
Employmen 南台科技大學通識教育中心助理教授、副教授
國立高雄大學應用數學系兼任助理教授
國立清華大學數學系兼任講師
國立新竹師範學院數理教育學系兼任講師
國立清華大學數學系專任助教		 top
Research fields 偏微分方程、分析 top
Research introduction top
Journal papers
  1. T. F. Wu, (2008) Four positive solutions for a semilinear elliptic equations involving concave and convex nonlinearities, Nonlinear Analysis: T.M.A., accepted, in press.  (SCI) pdf
  2. T. F. Wu, (2008) Multiple positive solutions for Dirichlet problems involving concave and convex nonlinearities, Nonlinear Analysis: T.M.A., accepted, in press.  (SCI) pdf
  3. T. F. Wu, (2008) Existence and multiplicity of nodal solutions for Dirichlet problems in upper half strip with holes, Nonlinear Analysis: T.M.A., accepted, in press.  (SCI) pdf
  4. T. F. Wu, (2008) On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function, Communications on Pure and Applied Analysis, accepted, Vol. 7 no.2 383-405. (SCIE) pdf
  5. T. F. Wu, (2008) Multiplicity of positive solutions for semilinear elliptic equations in R^{N}, Proceedings of the Royal Society of Edinburgh Sect. A, accepted, in press. (SCI) pdf
  6. T. F. Wu, (2008) The Nehari manifold for a semilinear elliptic system involving concave-convex nonlinearities, Nonlinear Analysis: T.M.A., Vol. 68 no. 6, 1733-1745. (SCI) pdf
  7. T. F. Wu, (2008) Multiplicity results for a semilinear elliptic equation involving sign-changing weight function, Rocky Mountain Journal of Mathematics, accepted, in press. (SCIE) pdf
  8. K. J. Brown and T. F. Wu, (2007) A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function, Journal of Mathematical Analysis and Applications, Vol. 337 no. 2 1326-1336.  (SCI, EI) pdf
  9. T. F. Wu, (2007) The effect of domain shape on the number of positive and nodal solutions for semilinear elliptic equations, Nonlinear Analysis: T.M.A., Vol. 67 no. 9 2609-2622 . (SCI) pdf
  10. T. F. Wu, (2007) Multiple positive solutions for semilinear elliptic systems with nonlinear boundary condition, Applied Mathematics and Computation, Vol. 189 no. 2  1712-1722 . (SCI, EI) pdf
  11. K. J. Brown and T. F. Wu, (2007) A fibrering map approach to a semilinear elliptic boundary value problem, Electronic Journal of Differential Equations, Vol. 2007, no. 69, pp. 1-9. pdf
  12. T. F. Wu, (2007) Multiplicity of positive solution of p-Laplacian problems with sign-changing weight functions, Int. Journal of Math. Analysis, Vol. 1 no. 12, 571- 577. pdf
  13. T. F. Wu, (2007) Multiplicity of nodal solutions for elliptic problems involving non-odd nonlinearities, Nonlinear Analysis: T.M.A., Vol. 67 no. 6 1746-1757. (SCI) pdf
  14. H. L. Lin, H. C. Wang and T. F. Wu, (2007) Four positive solutions of semilinear elliptic equations in exterior domains, Nonlinear Analysis: T.M.A., Vol. 67 no. 4 1129-1146. (SCI)
  15. T. F. Wu, (2007) Multiple positive solutions for nonhomogeneous elliptic equations in exterior domains, Proceedings of the Royal Society of Edinburgh Sect. A, Vol. 137 no. 3 603-624. (SCI)
  16. H. L. Lin, H. C. Wang and T. F. Wu, (2007) Three positive solutions of nonhomogeneous semilinear elliptic equations, Journal of Mathematical Analysis and Applications, Vol. 331 no. 2  1033-1045. (SCI, EI)
  17. H. C. Huang and T. F. Wu, (2007) Four 2-nodal solutions for a semilinear elliptic equation in a finite strip with a hole, Journal of Mathematical Analysis and Applications,  Vol. 328 no. 1 567-576. (SCI, EI)
  18. T. F. Wu, (2007) Existence and multiplicity of positive solutions for elliptic problems in unbounded domains, Abstract and Applied Analysis,  Vol. 2007, Article ID 18187, 21 pages, 2007. doi:10.1155/2007/18187 (SCIE).
  19. T. F. Wu, (2007) Multiplicity of positive solutions for semilinear elliptic problems in unbounded domains, Journal of Mathematical Analysis and Applications, Vol. 325 no. 2, 1280-1294. (SCI, EI)
  20. T. F. Wu (2006) A semilinear elliptic equation involving nonlinear boundary condition and sign-changing potential, Electronic Journal of Differential Equations, no. 131, 1-15.
  21. T. F. Wu, (2006) Multiplicity and concentration of positive solutions for nonhomogeneous elliptic equations in multi-bump domains, Nonlinear Analysis: T.M.A., Vol. 65 no. 10, 1891-1912. (SCI)
  22. T. F. Wu, (2006) On semilinear elliptic equations involving concave-convex nonlinearities and sign-changing weight function, Journal of Mathematical Analysis and Applications, Vol. 318 no. 1, 253-270. (SCI, EI)
  23. T. F. Wu, (2005) Multiple positive solutions for semilinear elliptic equations in Esteban-Lions domains with holes, Taiwanese Journal of Mathematics, Vol. 9 no. 2, 245-260. (SCI)
  24. T. F. Wu, (2004) Symmetry and concentration behavior of ground state in axially symmetric domains, Abstract and Applied Analysis, Vol. 12, 1019-1030.(SCIE)
  25. T. F. Wu, (2004) Multiplicity of single-bump solutions for semilinear elliptic equations in multi-bump domains, Nonlinear Analysis: T.M.A., Vol. 59 no. 6, 973-992. (SCI)
  26. T. F. Wu, (2004) Three positive solutions for nonlinear elliptic equations in finite strip with hole, Journal of Mathematical Analysis and Applications, Vol. 299 no. 1, 285-299. (SCI, EI)
  27. H. C. Wang and T. F. Wu, (2004) Symmetry breaking in a bounded symmetry domain, NoDEA-Nonlinear Differential Equations and Applications, Vol. 11 no. 3, 361-377. (SCIE)
  28. H. C. Wang and T. F. Wu, (2003) Symmetric Palais-Smale conditions with applications to three solutions in two bump domains, Differential and Integral Equations, Vol. 16 no.12, 1505-1518.
  29. T. F. Wu, (2003) Concentration and dynamic system of solutions for semilinear elliptic equations, Electronic Journal of Differential Equations, Vol. 2003 no.81, 1-14.
  30. H. C. Wang and T. F. Wu, (2003) Palais-Smale decomposition theorem in axially symmetry domains, Dynamics of Continuous, Discrete and Impulsive Systems, Vol. 10 no.1, 91-102. (SCIE)
  31. H. L. Lin, H. C. Wang and T. F. Wu, (2002) A Palais-Smale approach to Sobolev subcritical operators, Topological Methods in Nonlinear Analysis, Vol. 20 no. 2, 393-407.(SCIE)
  top
Conference papers
  1. T. F. Wu, Multiple Positive Solutions for Semilinear Elliptic Equations in Unbounded Domains, Proceedings of 12th Workshop on Differential Equations and Proceedings of Workshop on Mathematical Analysis, Hsinchu, Taiwan, National Tsing Hua University, 162-175, 2004.
  2. T. F. Wu, Best constant in Sobolev subcritical operators in R, Proceedings of Mathematics Conference, Taipei, Taiwan, Fu-Jen University, 325-338, 1999.
 top
Monograph
  1. T. F. Wu, “Existence and Multiplicity of Positive Solutions of Semilinear Elliptic Equations”, Ph. D. Thesis, Department of Mathematics, National Tsing Hua University Hsinchu, Taiwan, 2002.
top
Other publications
  1. T. F. Wu, Four positive solutions for a semilinear elliptic equations involving concave and convex nonlinearities, submitted.
  2. T. F. Wu, Multiplicity of positive solutions of semilinear elliptic equations in infinite strips, submitted.
  3. T. F. Wu, Existence of multiple positive solutions for nonhomogeneus semilinear elliptic equations, submitted.
  4. H. L. Lin and T. F. Wu, Existence of 2-nodal solutions for semilinear elliptic equations in unbounded domains, submitted.
  5. K. J. Brown and T. F. Wu, A fibrering map approach to a potential operator equation and its applications, submitted.
  6. T. F. Wu, Multiplicity of 2-nodal solutions for singularly perturbed elliptic problems in R^{N}, preprint.
  7. T. F. Wu, The effect of "holes" on the number of 2-nodal solutions for semilinear elliptic equations, preprint.
  8. T. F. Wu, Multiplicity of 2-nodal solutions for semilinear elliptic equations in dumbbell type domains, preprint.
  top
Projects  
計畫名稱 執行期限 經費（元） 補助單位
對於含凹凸非線性項之半線性橢圓問題的Nehari 流形之研究
2007.8.1-2008.7.31
412,000
國科會
半線性橢圓問題在奇異擾動域之研究(2/2)
2006.8.1-2007.7.31
294,000
國科會
半線性橢圓問題在奇 異擾動域之研究(1/2)
2005.8.1-2006.7.31
314,000
國科會
半線性橢圓方程在多
隆起域之多解性
2004.8.1-2005.7.31
223,400
國科會
基態解在軸對稱域的對稱性與多解性
2003.8.1-2004.7.31
253,900
國科會
半線性橢圓方程對稱與非對稱解的存在性
2002.11.1-2003.7.31
200,800
國科會
top
Talks
  1. Existence of multiple solutions for semilinear elliptic systems involving sign-changing weight function, 2007/5/21. (大同大學應用數學系邀請演講)
  2. The effect of domain shape on the number of positive solutions for nonhomogeneous semilinear elliptic equations, Proceedings of 15th Workshop on Differential Equations, Southern Taiwan of University of Technology, Tainan, Taiwan, 2006.
  3. Multiple 2-nodal solutions for semilinear elliptic equations involving non-odd nonlinearities, Proceedings of Mathmatics Conference, Taipei, 2006.
  4. On the semilinear elliptic equations involving concave-convex nonlinearities, 2006/11/03. (中山大學應用數學系邀請演講)
  5. Combined Effects of Concave and Convex Nonlinearities in Semilinear Elliptic Equations, 2nd Workshop of Numerical Algebra and Applications, Taiwan, 2006.
  6. Multiplicity of Single-bump Solutions for Semilinear Elliptic Equations in Multi-bump Domains, Proceedings of Mathematics Conference, National Taiwan University, Taipei, Taiwan, 2004.
  7. Multiple Positive Solutions for Semilinear Elliptic Equations in Unbounded Domains, Proceedings of 12th Workshop on Differential Equations and Proceedings of Workshop on Mathematical Analysis, Hsinchu, Taiwan, National Tsing Hua University, 2004.
  8. The Dynamic System of Solutions on a Semilinear Elliptic Equation, International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, London, Canada, July, 2001.
  9. Existence and nonexistence of solutions on semilinear elliptic problems on flask domains, The Third World Congress of Nonlinear Analysis, Catania, Sicily, Italy, July 2000.
  10. Best constant in Sobolev subcritical operators in R, Proceedings of Mathematics Conference, Fu-Jen University, Taipei, Taiwan, 1999.
 top
PH.D. students  
博士班
入學年度
姓名
 學校
88
黃秀娟
國立成功大學
應用數學研究所
top
Master students  
博士班
畢業年度
姓名
 論文題目
     
     
top
  
No.700, Kaohsiung University Road, Nantzu District, 811 Kaohsiung, Taiwan Tel: +886-7-5919345 Fax: +886-7-5919344 math@nuk.edu.tw
Copyright NUK 2005