Mathematical research is like the roaming of the universe, there are many surprises due to exploration.
Journal papers
Y. C. Lin, K. H. Wang and T. F. Wu (2024) Concentrating ground state for linearly coupled Schrõdinger systems involving critical exponent cases, Journal of Differential Equations 380, 254-287. (SCI)
G. Che, Y. Su, T. F. Wu, (2024) Bound state positive solutions for a Hartree system with nonlinear couplings, Applicable Analysis 103:6, 1176-1214. (SCI)
Y. C. Lin, K. H. Wang and T. F. Wu (2023) Multiple nonsemitrivial solutions for quasilinear elliptic systems via associated eigenvalue problems, Communications on Pure and Applied Analysis 22(5), 1659-1686. (SCI)
C. Y. Chen, Y. C. Kuo, K. H. Wang and T. F. Wu, (2023) On non-local elliptic equations with sublinear nonlinearities involving an eigenvalue problem, Mathematical Methods in the Applied Sciences 46 (6), 7454-7465. (SCI)
G. Che and T. F. Wu (2023) Three positive solutions for the indefinite fractional Schrödinger-Poisson systems, Topological Methods in Nonlinear Analysis 62(1), 53-81. (SCI)
J. Sun, K. H. Wang and T. F. Wu (2022) The number of positive solutions for Schrödinger-Poisson system under the effect of eigenvalue, Mathematical Methods in the Applied Sciences, Vol. 45 (16),10274-10294. (SCI)
S. Yao, J. Sun and T. F. Wu (2022) Positive solutions to a class of Choquard type equations with a competing perturbation, Journal of Math. Anal. Appl. 516, 126469. (SCI)
C. Y. Chen and T. F. Wu (2022) Positive solutions for nonlinear Schrödinger–Poisson Systems with general nonlinearity, NoDEA-Nonlinear Differential Equations and Applications, 29:58. (SCI)
T. F. Wu (2022) Ground state solutions for the generalized extensible beam equations, Applied Mathematics Letters, 132, 108197. (SCI)
J. Sun and T. F. Wu (2022) On the Kirchhoff type equations in R^N, Advances in Differential Equations 27, 3-4, 97-146. (SCI)
C. Y. Chen, Y. C. Kuo, K. H. Wang and T. F. Wu, (2022) On non-local nonlinear elliptic equations involving an eigenvalue problem, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116:45. (SCI)
G. Che and T. F. Wu (2022) Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities, Advances in Nonlinear Analysis 11, 598-619. (SCI)
Y. C. Lin, K. H. Wang and T. F. Wu (2021) Ground states for a linearly coupled indefinite Schrödinger system with steep potential well, Journal of Mathematical Physics 62, 081505. (SCI)
J. Zhang, J. Sun, T. F. Wu (2021) Positive bound state solutions for non-autonomous Schrödinger-Poisson systems with 2<p<4, Zeitschrift fuer Angewandte Mathematik und Physik, 72:162. (SCI)
T. F. Wu (2021) Existence and symmetry breaking of ground state solutions for Schrödinger-Poisson Systems, Calculus of Variations and Partial Differential Equations 60:59. (SCI)
J. Sun, K. H. Wang and T. F. Wu (2021) On indefinite Kirchhoff-type equations under the combined effect of linear and superlinear terms, Journal of Mathematical Physics, 62, 031505. (SCI)
J. Sun and T. F. Wu (2021) The number of nodal solutions for the Schrödinger-Poisson system under the effect of the weight function, Discrete and Continuous Dynamical Systems-Series A 41, 3651-3682. (SCI)
J. Sun and T. F. Wu (2021) On Schrödinger-Poisson systems involving concave-convex nonlinearities via a novel constraint approach, Communications in Contemporary Mathematics Vol. 23, No. 6, 2050048 (25 pages). (SCI)
G. Che and T. F. Wu (2021) Three positive solutions for Kirchhoff problems with steep potential well and concave-convex nonlinearities, Applied Math. Letters, 121, 107348. (SCI)
W. Xie, H. Chen and T. F. Wu (2021) Ground state solutions for a class of Schrödinger-Poisson systems with Hartree-type nonlinearity, Applicable Analysis 100(13), 2777-2803. (SCI)
Y. C. Lin and T. F. Wu (2021) On the semilinear fractional elliptic equations with singular weight functions, Discrete and Continuous Dynamical Systems-Series B 26(4), 2067-2084. (SCI)
J. Sun and T. F. Wu (2020) On Schrödinger-Poisson systems under the effect of steep potential well (2<p<4), Journal of Mathematical Physics 61, 071506. (SCI)
H. S. Zhang, T. Li, T. F. Wu (2020) On the solvability of an indefinite nonlinear Kirchhoff equation via associated eigenvalue problems, Journal of Differential Equations 269, 2853-2895. (SCI)
G. Che, H. Chen and T. F. Wu (2020) Bound state positive solutions for a class of elliptic system with Hartree nonlinearity, Communications on Pure and Applied Analysis 19, 3697-3722. (SCI)
J. Sun and T. F. Wu (2020) Bound state nodal solutions for the non-autonomous Schrödinger-Poisson system in R^3, Journal of Differential Equations 268, 7121-7163. (SCI)
H. S. Zhang, T. Li, T. F. Wu (2020) Existence and multiplicity of nontrivial solutions for biharmonic equations with singular weight functions, Applied Mathematics Letters 105: 106335. (SCI)
J. Zhang, J. Sun, and T. F. Wu (2020) The number of positive solutions affected by the weight function to Kirchhoff type equations in high dimensions, Nonlinear Analysis 196, 111780. (SCI)
T. C. Lin and T. F. Wu (2020) Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions, Discrete and Continuous Dynamical Systems-Series A 40, 2165-2187. (SCI)
S. Yao, J. Sun, T. F. Wu (2020) Stationary quantum Zakharov systems involving a higher competing perturbation, Electronic Journal of Differential Equations, Vol. 2020, No. 06, 1-18. (SCI)
T. F. Wu (2020) On a class of nonlocal nonlinear Schrödinger equations with potential well, Advances in Nonlinear Analysis 9, 665-689. (SCI)
J. Sun and T. F. Wu (2020) Steep potential well may help Kirchhoff type equations to generate multiple solutions, Nonlinear Analysis 190, 111609. (SCI)
J. Sun, T. F. Wu and Z. Feng (2019) Two Positive Solutions to Non-autonomous Schrodinger-Poisson Systems, Nonlinearity 32, 4002. (SCI)
G. Che, H. Chen and T. F. Wu (2019) Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling, J. Math. Phys. 60, 081511. (SCI)
J. Sun, S. Yao and T. F. Wu (2019) The stationary quantum Zakharov system perturbed by a local nonlinearity, Applied Math. Letters 95, 172-178. (SCI)
J. Sun and T. F. Wu (2019) The effect of nonlocal term on the superlinear elliptic equations in $\mathbb{R}^{N}$, Communications on Pure and Applied Analysis 18, 3243-3242. (SCI)
J. Sun and T. F. Wu (2019) Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations in R^N, Electronic Journal of Differential Equations, Vol. 2019, No. 41, 1-23. (SCI)
J. Sun, Y. H. Cheng, T. F. Wu and Z. Feng (2019) On positive solutions of a superlinear KirchhoR type equation in R^N (N>=4) , Communications in Nonlinear Science and Numerical Simulation 71, 141-160. (SCI)
J. Sun and T. F. Wu (2019) The Nehari manifold of biharmonic equations with p-Laplacain and singular potential, Applied Math. Letters 88, 156-163. (SCI)
J. Sun, T. F. Wu and Z. Feng (2018) Non-autonomous Schrodinger-Poisson System in R^{3}, Discrete and Continuous Dynamical Systems-Series A 38, 1889-1933. (SCI)
Y. F. Fang ,and J. Segata and T. F. Wu, (2018) On the standing waves of quantum Zakharov system, Journal of Mathematical Analysis and Applications 458, 1427-1448. (SCI)
J. Sun and T. F. Wu and Y. Wu, (2017) Existence of nontrivial solution for Schrödinger-Poisson systems with indefinite steep potential well, Zeitschrift fuer Angewandte Mathematik und Physik 68:73. (SCI)
Y. Wu; T. F. Wu and W. Zou, (2017) On a two-component Bose-Einstein condensate with steep potential wells, Annali di Matematica Pura ed Applicata 196, 1695-1737 . (SCI)
J. Sun, Y. H. Cheng and T. F. Wu, (2017) On the indefinite Kirchhoff type equations with local sublinearity and linearity, Applicable Analysis 96, 827-843. (SCI)
J. Sun and T. F. Wu, (2017) Existence of nontrivial solutions for a biharmonic equation with p-Laplacian and singular sign-changing potential, Applied Mathematics Letters 66, 61-67(SCI)
J. Sun, J. Chu and T. F. Wu, (2017) Existence and multiplicity of nontrivial solutions for some biharmonic equations with p-Laplacian, Journal of Differential Equations 262, 945-977. (SCI)
Y. H. Cheng and T. F. Wu(2016) Multiplicity and concentration of positive solutions for semilinear elliptic equations with steep potential, Communications on Pure and Applied Analysis 15, 2457-2473. (SCI)
J. Sun, T. F. Wu and Z. Feng (2016) Multiplicity of Positive Solutions for A Nonlinear Schrödinger-Poisson System, Journal of Differential Equations, 260,586-627. (SCI)
J. Sun and T. F. Wu, (2016) Existence and Multiplicity of solutions for an indefinite Kirchhoff type equation in bounded domains, Proceedings of the Royal Society of Edinburgh Sect. A 146, 435-448. (SCI)
H. Huang, T. F. Wu and Y. Wu, (2015) Multiple positive solutions for a class of concave-convex elliptic problem in R^{N} involving sign-changing weight (II), Communications in Contemporary Mathematics Vol. 17, NO. 5 1450045 (35 pages). (SCI)
J. Sun and T. F. Wu, (2015) Existence and multiplicity of positive solutions for a Schrödinger-Poisson system with a perturbation, Topological Methods in Nonlinear Analysis, 46, 967-998. (DOI: 10.12775/TMNA.2015.079, SCI)
J. Sun and T. F. Wu, (2015) Homoclinic solutions for a second-order Hamiltonian system with a positive semi-definite matrix, Chaos, Solitons and Fractals, 76, 24-31. (SCI)
T. Li, J. Sun and T. F. Wu, (2015) Existence of homoclinic solutions for a fourth order differential equation with a parameter, Applied Mathematics and Computation, 251, 499-506. (SCI)
J. Sun and T. F. Wu, (2015) Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems, , Nonlinear Analysis: T.M.A, 114, 105-115. (SCI)
J. Sun and T. F. Wu, (2015) On the nonlinear Schrödinger-Poisson systems with sign-changing potential, Zeitschrift fuer Angewandte Mathematik und Physik, 66, 1649-1669.(SCI)
J. Sun, T. F. Wu and F. Li , (2014) Concentration of homoclinic solutions for some fourth-order equations with sublinear indefinite nonlinearities, Applied Math. Letter 38, 1-6. (SCI)
Y. Chen and T., F. Wu, (2014) Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N, Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 102, 1-27. (SCI)
J. Sun and T. F. Wu, (2014) Two homoclinic solutions for a nonperiodic fourth order differential equation with a perturbation, Journal of Math. Anal. Appl. 413, 622-632. (SCI)
J. Sun and T. F. Wu, (2014) Ground state solutions for an indefinite Kirchhoff type problem with steep potential well, Journal of Differential Equations 256, 1771-1792. (SCI)
C. Y. Chen and T. F. Wu, (2014) Multiple positive solutions for indefinite semilinear elliptic problems involving critical Sobolev exponent, Proceedings of the Royal Society of Edinburgh Sect. A, 144, 691-709. (SCI)
T. C. Lin and T. F. Wu, (2013) Existence and multiplicity of positive solutions for two-component systems of nonlinear Schrodinger equations, Discrete and Continuous Dynamical Systems-Series A 33, 2911-38. (SCI)
C. Y. Chen, Y. C. Kuo and T. F. Wu, (2013) Existence and multiplicity of positive solutions for Schrödinger-Poisson equations, Proceedings of the Royal Society of Edinburgh Sect. A 143, 745-764. (SCI)
W. C. Wang, T. F. Wu and C. H. Liu, (2013) On the multiple spike solutions for singularly perturbed elliptic systems, Discrete and Continuous Dynamical Systems-Series B 18, 237-258. (SCI)
T. Li and T. F. Wu, (2012) Existence of multiple positive solutions for nonhomogeneous elliptic problems in R^{N}, Nonlinear Analysis: T.M.A. 75, 5639-5652. (SCI)
C. Y. Chen and T. F. Wu, (2012) The Nehari manifold for a indefinite semilinear elliptic system involving critical exponent, Applied Mathematics and Computation 218, 10817-10828. (SCI)
T. F. Wu, (2012)Two coupled nonlinear Schrödinger equations involving a non-constant coupling coefficient, Nonlinear Analysis: T.M.A. 75, 4766-4783. (SCI)
T. F. Wu, (2012) Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems, Journal of Differential Equations 252, 3403-3435. (SCI)
T. F. Wu, (2011) Multiple positive solutions of a nonlinear boundary value problem involving a sign-changing weight, Nonlinear Analysis: T.M.A 74, 4223-4233. (SCI)
T. F. Wu, (2011) Three positive solutions for a semilinear elliptic equation in R^{N} involving sign-changing weight, Nonlinear Analysis: T.M.A 74, 4112-4130. (SCI)
C. Y. Chen, Y. C. Kuo and T. F. Wu, (2011) The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions, Journal of Differential Equations 250, 1876-1908. (SCI)
T. F. Wu, (2010) Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight, Journal of Differential Equations 249, 1549-1578. (SCI)
T. F. Wu, (2010) Multiplicity of positive solutions for a semilinear elliptic equation in R_{+}^{N} with nonlinear boundary condition, Communications on Pure and Applied Analysis 9, 1675-1696. (SCI)
T. F. Wu, (2010) Multiple positive solutions for a class of concave-convex elliptic problem in R^{N} involving sign-changing weight, Journal of Functional Analysis 258, 99-131. (SCI)
T. Li and T. F. Wu, (2010) Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent, Journal of Mathematical Analysis and Applications 369, 245-257. (SCI)
T. F. Wu, (2010) Existence of multiple positive solutions for a semilinear elliptic equation in R^{N}, Nonlinear Analysis: T.M.A, 72, 3412-3421. (SCI)
T. Li, H. L. Lin and T. F. Wu, (2010) Existence of 2-nodal solutions for semilinear elliptic equations in unbounded domains, Advanced Nonlinear Studies 10, 1-21. (SCI)
T. F. Wu, (2009) Multiple positive solutions for an unbounded Dirichlet boundary problem involving sign-changing weight, Proceedings of the Royal Society of Edinburgh Sect. A 139 1297-1325. (SCI)
T. F. Wu, (2009) Multiplicity of positive and nodal solutions for semilinear elliptic equations in infinite strips, Nonlinear Analysis: T.M.A. 71, 4869-4882. (SCI)
T. F. Wu, (2009) Multiplicity of 2-nodal solutions for a semilinear elliptic equation, Differential Equations and Applications 1, 497-515.
K. J. Brown and T. F. Wu, (2009) A fibrering map approach to a potential operator equation and its applications, Differential and Integral Equations 22, 1097-1114.(SCI)
T. F. Wu, (2009) Multiplicity results for a semilinear elliptic equation involving sign-changing weight function, Rocky Mountain Journal of Mathematics, Vol.39, no. 3, 995-1012. (SCI)
T. F. Wu, (2009) Four positive solutions for a semilinear elliptic equations involving concave and convex nonlinearities, Nonlinear Analysis: T.M.A., 70, 1377-1392. (SCI)
T. F. Wu, (2008) Multiple positive solutions for Dirichlet problems involving concave and convex nonlinearities, Nonlinear Analysis: T.M.A., 69, 4301-4323. (SCI)
C. H. Liu, H. Y. Wang and T. F. Wu, (2008) Multiplicity of 2-nodal solutions for semilinear elliptic problems in R^{N}, Journal of Mathematical Analysis and Applications Vol. 348, 169-179. (SCI)
T. F. Wu, (2008) Existence and multiplicity of nodal solutions for Dirichlet problems in upper half strip with holes, Nonlinear Analysis: T.M.A., Vol. 69 no. 7 2167-2178. (SCI)
T. F. Wu, (2008) On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function, Communications on Pure and Applied Analysis, Vol. 7 no.2 383-405. (SCI)
T. F. Wu, (2008) Multiplicity of positive solutions for semilinear elliptic equations in R^{N}, Proceedings of the Royal Society of Edinburgh Sect. A,138, 647-670. (SCI)
T. F. Wu, (2008) The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions, Nonlinear Analysis: T.M.A., Vol. 68 no. 6, 1733-1745. (SCI)
K. J. Brown and T. F. Wu, (2008) 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)
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)
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)
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
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
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)
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)
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)
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)
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)
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. (SCI)
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)
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.(SCI)
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)
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)
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)
T. F. Wu, (2004) Symmetry and concentration behavior of ground state in axially symmetric domains, Abstract and Applied Analysis, Vol. 12, 1019-1030.(SCIE)
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)
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)
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. (SCI)
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. (SCI)
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.(SCI)
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. (SCI)
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.(SCI)
Conference papers
黃昱文, 吳宗芳,以前後測分析數位學伴計畫之小學伴學習成效-以高雄地區某國中九年級生為例, the 25th TANET 2019, E2_002. (中山大學)
Multiple positive solutions of semilinear elliptic boundary value problems in infinite strips,(Proceedings of Mathematics Conference, 2007,台北)
The effect of domain shape on the number of positive solutions for nonhomogeneous semilinear elliptic equations, (第十五屆微分方程研討會,2006.12.22~24,南台科技大學)
Multiple 2-nodal solutions for semilinear elliptic equations involving non-odd nonlinearities, (2006中華民國數學年會,2006.12.08~10,台灣師範大學)
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.
T. F. Wu, Best constant in Sobolev subcritical operators in R, Proceedings of Mathematics Conference, Taipei, Taiwan, Fu-Jen University, 325-338, 1999.
專書及專書論文
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.