Research Papers and Books


Focus on variational and topological methods including minimax theory, Morse theory, degree theory, cohomology  theory. Applications are mainly on PDEs and Hamiltonian systems..

Publications (83 articles)


  1. Chen, Zhijie, Zou, Wenming, Standing waves for linearly coupled Schrodinger equations with critical exponent,Ann. Inst. H. Poincare Anal.Non-lineaire, accepted.
  2. Chen, Zhijie, Zou, Wenming, Standing waves for a coupled system of nonlinear Schrodinger equations, Annali di Matematica Pura ed Applicata, accepted
  3. Chen, Zhijie, Zou, Wenming, A remark on doubly critical elliptic systems,Calc. Var. PDE, published online
  4. Zhijie Chen, Chang-Shou Lin, WenmingZou, Monotonicity and nonexistence results to cooperative systems in the half space, J. Funct. Anal. published online
  5. Zhijie Chen, Chang-Shou Lin, Wenming Zou, Multiple sign-changing and semi-nodal solutions for coupled Schrodinger equations, J. DifferentialEquations, 255(2013), 4289每4311
  6. Chen, Zhijie; Zou, Wenming, Existence and symmetry of positive ground states for a doubly critical Schrodinger system, Trans. American Math. Soc, accepted
  7. Xiaoming He, Aixia Qian and W. Zou, Existence and concentration of positive solutions for quasilinearSchroedinger equations with critical growth, Nonlinearity, accepted
  8. Jian Zhang and W. Zou,The critical case for a Berestycki-Lions theorem, SCIENCE CHINA Mathematics, accepted
  9. Xiaorui Yue and Wenming Zou, Infinitely many solutions for the perturbed Bose-Einsteincondensates system, Nonlinear Anal. TMA. accepted
  10. Chen, Zhijie; Zou, Wenming, On linearly coupled Schrodinger systems, Proc. Amer. Math. Soc. published online
  11. M. Schechter and W. Zou; Semi-classical bound states of Schrodinger equations;
    Mathematical Proceedings of the Cambridge Philosophical Society; Published online: 21 October 2013
  12. Chen, Linghua; Schechter, Martin, Zou, Wenming; Sign-changing critical points via Sandwich Pair theorems,Nonlinear Anal. TMA, 93(2013) 109每121.
  13. Chen, Zhijie; Zou, Wenming; An optimal constant for the existence of least energy solutions of a coupled Schrodinger system, Calc. Var. PDE. 48(2013), No.3-4, 695每711.
  14. Byeon Jaeyoung; Zhang jianjun; Zou Wenming; Singularly perturbed nonlinear Dirichlet problems involving critical growth, Calc. Var. PDE, 47(2013), No.1-2, 65每85.
  15. Zhang Jianjun; Zou Wenming; A Berestycki-Lions theorem revisited; Comm. Contemp. Math., 14(2012), No. 5, 1250033, 14pp.
  16. Zhong Xuexiu; Zou Wenming; Existence of infinitely many solutions for sublinear elliptic problems, Glasg. Math. J. 54(2012), No.3, 535-545.
  17. Chen Zhijie, Zou Wenming; A note on the Ambrosetti-Rabinowitz condition for an elliptic system, Appl. Math. Lett. 25(2012), No.11, 1931-1935.
  18. Chen Zhijie; Zou Wenming; Positive least energy solutions and phase separation for coupled Schrodinger equations with critical exponent, Arch. Ration. Mech Anal.; 205(2012), No.2515-551.
  19. Chen Z. Shioji, N; Zou. W. Ground state and multiple solutions for a critical exponent problem, NoDEA Nonlinear Differential Equations Appl. 19(2012), No. 3,253每277.
  20. Cao Pei; Wang Jing; Zou Wenming; On the standing waves for nonlinear Hartree equation with confining potential; J. Math. Phys. 53(2012), No. 3, 033702, 27pp
  21. Chen Zhijie, Zou Wenming; On the Brezis-Nirenberg problem in a ball; Differential Integral Equations, 25(2012), No.5-6, 527-542.
  22. He Xiaoming; Zou Wenming; Existence and concentration of ground states for Schrodinger-Poisson equations with critical growth; J. Math. Phys; 53(2012), No.2; 023702, 19 pp
  23. W. Zou, Some results on variational and topological methods. Fifth International Congress of Chinese Mathematicians. Part 1, 2, 987每999, AMS/IP Stud. Adv. Math., 1,2,Amer. Math. Soc., Providence, RI, 2012.
  24. Wang Youjun, Zou Wenming; On a class of Schrodinger systems with critical exponents; Proc. Roy. Soc. Edinburgh, Sect. A. 142(2012), No.1, 199每213.
  25. Chen Zhijie, Zou Wenming; Ground states for a system of Schr?dinger equations with critical exponent, J. Funct. Anal. 262(2012), No. 7, 3091-3107.
  26. Wang Youjun; Zou Wenming; Bound states to critical quasilinear Schrodinger equations; NoDEA Nonlinear Differential Equations Appl. 19(2012), No.1,19-47.
  27. He Xiaoming; Zou Wenming, Existence and concentration behavior of positive solutions for a Kirchhoff equation in R 3, J. Diifferential Equations, 252(2012), No.2, 1813-1834
  28. Chen Zhijie, Zou Wenming, On an elliptic problem with critical exponent and Hardy potential. J. Differential Equation, 252(2012), No. 2, 969-987.
  29. Zou Wenming, Rabinowitz's theorems revisited. Progress in variational methods, 225每238, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7. World Sci. Publ., Hackensack, NJ, 2011.
  30. Chen Zhijie, Zou Wenming, n coupled systems of Schrodinger equations, Adv. Differential Equations, 16(2011), No. 7-8, 775-800.



2010 and before:

  1. M. Schechter, Wenming Zou, On a Brezis-Nirenberg Theorem. Archive for Rational Mechanics and Analysis, 197(2010), 337-356.
  2. M. Ramos, H. Tavares and W. Zou, A Bahri-Lions theorem revisted, Advances in Mathematics 222 (2009) 2173每2195
  3. W. Zou, S. Li, On Schechter's Linking Theorems, J.Functional Analysis, 258 (2010), 3347每3361.
  4. N. Hirano and W. Zou, A purerbation Method for Multiple Sign-changing Solutions, Calc. Var. (2010) ,No.1-2, 37:87每98
  5. Gianni Arioliㄛ Andrzej Szulkinㄛ Wenming ZouㄛMultibump solutions and critical groupsㄛTrans. Amer. Math. Soc. 361(2009), No6, 3159-3187.
  6. Wenming Zou, On finding Sign-changing Solutions, J. Functional Analysis, 234(2006),364-419.
  7. M. Schechter, Wenming Zou, On sign-changing solution to perturbed elliptic equations,
    J. Functional Analysis,228(2005) 1-38.
  8. M. Schechter, Wenming Zou, Sign-changing criticalpoints of linking type theorems, Trans. American Math.Society, Vol. 358 (No.12)}(2006), 5293-5318.
  9. Wenming Zou, Sign-Changing Saddle Point, J.Functional Analysis, 219(2005), 433-468.
  10. M. Schechter, Wenming Zou, Double Linking Theorem and Multiple Solutions,
    J. Functional Analysis, 205(2003), 37-61.
  11. A. Szulkin, Wenming Zou, Homoclinic Orbit for Asymptotically Linear Hamiltonian Systems,
    J. Function Analysis, (187)(2001), 25-41.
  12. M. Schechter, Z-Q. Wang, Wenming Zou, New Linking Theorem and Sign-Changing Solutions,Communication in Partial Differential Eqnuation , 29(No. 3-4, 2004), 471-488.
  13. Wenming Zou, Computations of cohomology groups and applicatios to asymptotically linear beam equations and noncooperative systems, Communication in Partial Differential Eqnuation, 27 (2002), 115-148.
  14. M. Schecher, Wenming Zou, Infinite-Dimensional Linking Theorem and Applications Journal of Differential Equatios.201ㄗ2004ㄘ324-350.
  15. Wenming Zou and S. Li, Infinitely many solutions for two classes of the second order Hamiltonian systems.Journal of Differential Equations. 186(2002) 141-164.
  16. A. Szulkin, Wenming Zou, Computations of E-cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems, Journal of Differential Equations, 174(2001), 369-391.
  17. Wenming Zou, J. Liu, Multiple solutions for elliptic resonant problem via local linking theory and Morse theory, Journal of Differential Equations. 170(1)(2001), 68-95
  18. M. Schechter, Wenming Zou, Superlinear Problem. Pacific J. Math. 214 ㄗ2004), 145-160
  19. Wenming Zou, Variant Fountain Theorems and Their Applications,Manuscripta Mathematica, 104( 2001), 343-358.
  20. M. Willem and Wenming Zou, On a Schrodinger equation with periodic potential and spectrum point zero, Indiana Univ. Math. J. 52 (2003), 109-132.
  21. M. Schechter, Wenming Zou, Homoclinic orbits for Schrodinger systems. Michigan Math. J. 51 (2003), 59--71.
  22. M. Schechter, Wenming Zou, Weak Linking Theorems and Schrodinger Equations with critical Sobolev exponent. Control, Optimisation and Calculus of Variations, 9, 2003 pp. 601-619
  23. Wenming Zou, Some recent results in linking theory and its applications, Nonl. Anal. TMA, 63(2005), e1979-e1988.
  24. Xiaoming He and Wenming Zou, Nontrivial solutions for some singular critical growth semilinear elliptic equations. Nonlinear Anal.68, (2008), no. 12, 3719-3732.
  25. Wenming Zou, S. Li, New Linking Theorem and Elliptic Systems with Nonlinear Boundary Condition, Nonlinear Analysis TMA. 52 (2003),1797-1820
  26. M. Schechter, Wenming Zou, Weak Linking, Nonlinear Analysis TMA, 55(2003), 695-706.
  27. Wenming Zou, S. Li, Infinitely Many Homoclinic Orbits for Second Order Hamiltonian Systems. Appl. Math. Letter. 16 (2003), 1283-1287.
  28. Wenming Zou, Multiple solutions for elliptic equations with resonance.Nonlinear Analysis, TMA. (48)(2002), 363-376.
  29. Wenming Zou, Solitary Waves of the Generalized Kadomtsev-Petviashvili Equations. Applied Mathematics Letter,15(2002), 35-39.
  30. Wenming Zou, Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonia n systems.Nonlinear Analysis, TMA. {49}(4)(2002), 481-499.
  31. Wenming Zou, Multiple solutions for asymptotically linear elliptic systems,J. Mathematical Analysis and Applications, 255(2001), 213-229.
  32. Wenming Zou, Multiple solutions for second order Hamiltionian systems via computation of the critical groups. Nonlinear Analysis, TMA. 44 (2001), 975-989
  33. Wenming Zou , S. Li , J. LIU, Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups. Nonlinear Analysis, TMA. 38(1999), 229-247.
  34. S. Li , Wenming Zou, The computations of the critical groups with an application to elliptic resonant problem at higher eigenvalue. Journal of Mathematical Analysis and Applications,235(1999), 237-259
  35. Wenming Zou, Solutions for resonant elliptic system with non-odd or odd nonlinearities, Journal ofMathematical Analysis and Applications223(1998),397-417.
  36. Wenming Zou, Multiple solutions results for two-point boundary value problem with resonance both at origin and at infinity via computation of the critical groups. Discrete and Continuous Dynamic Systems, 4(1998), 485-496.
  37. Shujie Li , Wenming Zou, Remarks on a class of elliptic problems with critical Sobolev exponants. Nonlinear Analysis, TMA. 32 (1998), 769-774
  38. Wenming Zou, Positive fixed point and eigenvalue results for weakly inward maps, Nonlinear Analysis, TMA. 27 (1996), 1447-1461.
  39. M. Schechter, Wenming Zou, On functionals bounded from below, Functional Analysis and its Application, 37(2003),75-80.
  40. Wenming Zou, Positive eigenvector for weakly inward maps,Indian J. Pure and Applied Math. 28 (1997), 1391-1398.
  41. Wenming Zou, Positive fixed point and eigenvalues for weakly inward set-contraction maps, J. Systems Sciences and Mathematical Sciences, 16 (1996), 17-20.
  42. M. Schechter, Wenming Zou, The method of weak linking, Abstract and applied analysis, 323-334, World Sci, Publishing, River Edge, NJ, 2004
  43. Wenming Zou, Some new fixed point theorems for weakly inward mappings, Analele Stiitifice, IASI. 3 (1994), 313-328.
  44. Xiaoming He and Wenming Zou, Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. Comput. Math. Appl. 56(2008), no. 4, 1025-1031.
  45. Xiaoming He and Wenming Zou, Multiplicity of solutions for quasilinear Brezis-Nirenberg type problems involving singular weights. Int. J. Pure Appl. Math. 44(2008), no. 4,
  46. Xiaoming He and Wenming Zou, Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations. Appl. Math. Comput.197(2008), no. 2, 858-863.
  47. M. Ramos, W. Zou, A note on nodal non-radially symmetric solutions to Emden-Fowler equations. E. JDE,2009, No. 40, 5 pp.
  48. X. He, W. Zou, Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev-Hardy exponents.Proc. Edinb. Math. Soc. (52), 2009, 97--108.
  49. X. He, W. Zou, Infinitely many positive solutions for Kirchhoff-type problems. Nonl. Anal. TMA, 2009, No3, 1407-1414.
  50. X. He, W. Zou,Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions, Nonl. Anal. TMA, 2009, 71(2009), 4646-4656.
  51. X. He, W. Zou, Infinitely many solutions for a singular elliptic equation involving critical Sobolev-Hardy exponents in $\bold R^N$. Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 3, 830--840.
  52. He, Xiao-ming; Zou, Wen-ming Multiplicity of solutions for a class of Kirchhoff type problems, Acta Math. Appl. Sin. Engl. Ser. 26 (2010), no. 3, 387--394.
  53. He, Xiaoming; Zou, Wenming Multiplicity of solutions for a class of elliptic boundary value problems, Nonlinear Anal. 71 (2009), no. 7-8, 2606--2613.



  1. Ground states of Schrodinger equations with critical exponential growth in RN (with J. Zhang)
  2. A concentration behavior for semilinear elliptic systems with indefinite weight (with X. Zhong
  3. On doubly critical elliptic systems in RN involving indefinite weights (with X. Zhong)
  4. Ground state and multiple solutions via generalized Nehari manifold (with X. Zhong)
  5. Critical Schrodinger systems in RN with indefinite weight and Hardy potential (with X. Zhong)
  6. Sign-changing Solutions and Phase Separation for an Elliptic System with Critical Exponent (with Z. Chen, C. S. Lin)
  7. Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system (with Z. Chen, C. S. Lin)
  8. On a critically coupled perturbed Brezis-Nirenberg problem (with Z. Chen)


  1. Wenming Zou, Sign-Changing Critical Point Theory, Springer-New York, 278 pages, 2008ㄛISBN-978-o-387-76657-7.
  2. Wenming Zou, M. Schechter (藝), Critical Point Theory and its Application, Springer-New York, 318 pages, 2006, ISBN-10: 0-387-32965-X.