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)**

**2011-Now**

- Chen, Zhijie, Zou, Wenming, Standing waves for linearly coupled Schrodinger equations with critical exponent,
**Ann. Inst. H. Poincare Anal.Non-lineaire,****accepted.** - Chen, Zhijie, Zou, Wenming, Standing waves for a coupled system of nonlinear Schrodinger equations,
*Annali di Matematica Pura ed Applicata,*accepted - Chen, Zhijie, Zou, Wenming, A remark on doubly critical elliptic systems,
**Calc. Var.****PDE**,**published online** - Zhijie Chen, Chang-Shou Lin, WenmingZou, Monotonicity and nonexistence results to cooperative systems in the half space,
*J. Funct. Anal*.**published online** - Zhijie Chen, Chang-Shou Lin, Wenming Zou, Multiple sign-changing and semi-nodal solutions for coupled Schrodinger equations,
*J. DifferentialEquations*, - Chen, Zhijie; Zou, Wenming, Existence and symmetry of positive ground states for a doubly critical Schrodinger system,
*Trans. American Math. Soc*, accepted - Xiaoming He, Aixia Qian and W. Zou, Existence and concentration of positive solutions for quasilinearSchroedinger equations with critical growth,
,*Nonlinearity***accepted** - Jian Zhang and W. Zou,The critical case for a Berestycki-Lions theorem,
**SCIENCE CHINA Mathematics****accepted** - Xiaorui Yue and Wenming Zou, Infinitely many solutions for the perturbed Bose-Einsteincondensates system,
**Nonlinear Anal. TMA.****accepted** - Chen, Zhijie; Zou, Wenming, On linearly coupled Schrodinger systems,
*Proc. Amer. Math. Soc.**published online* - M. Schechter and W. Zou; Semi-classical bound states of Schrodinger equations;

;*Mathematical Proceedings of the Cambridge Philosophical Society*: 21 October 2013*Published online* - Chen, Linghua; Schechter, Martin, Zou, Wenming; Sign-changing critical points via Sandwich Pair theorems
, 93(2013) 109每121.*,Nonlinear Anal. TMA* - Chen, Zhijie; Zou, Wenming; An optimal constant for the existence of least energy solutions of a coupled Schrodinger system,
. 48(2013), No.3-4, 695每711*Calc. Var. PDE***.** - Byeon Jaeyoung; Zhang jianjun; Zou Wenming; Singularly perturbed nonlinear Dirichlet problems involving critical growth,
, 47(2013), No.1-2, 65每85.*Calc. Var. PDE* - Zhang Jianjun; Zou Wenming; A Berestycki-Lions theorem revisited;
14(2012), No. 5, 1250033, 14pp.**Comm. Contemp. Math.,** - Zhong Xuexiu; Zou Wenming; Existence of infinitely many solutions for sublinear elliptic problems,
54(2012), No.3, 535-545.**Glasg. Math. J.** - Chen Zhijie, Zou Wenming; A note on the Ambrosetti-Rabinowitz condition for an elliptic system,
25(2012), No.11, 1931-1935.*Appl. Math. Lett.* - Chen Zhijie; Zou Wenming; Positive least energy solutions and phase separation for coupled Schrodinger equations with critical exponent,
205(2012), No.2515-551.**Arch. Ration. Mech Anal.;** - Chen Z. Shioji, N; Zou. W. Ground state and multiple solutions for a critical exponent problem,
. 19(2012), No. 3,253每277.**NoDEA Nonlinear Differential Equations Appl** - Cao Pei; Wang Jing; Zou Wenming; On the standing waves for nonlinear Hartree equation with confining potential;
53(2012), No. 3, 033702, 27pp**J. Math. Phys.** - Chen Zhijie, Zou Wenming; On the Brezis-Nirenberg problem in a ball;
, 25(2012), No.5-6, 527-542.**Differential Integral Equations** - He Xiaoming; Zou Wenming; Existence and concentration of ground states for Schrodinger-Poisson equations with critical growth;
53(2012), No.2; 023702, 19 pp**J. Math. Phys;** - W. Zou, Some results on variational and topological methods.
Part 1, 2, 987每999, AMS/IP Stud. Adv. Math., 51.pt 1,2,Amer. Math. Soc., Providence, RI, 2012.**Fifth International Congress of Chinese Mathematicians.** - Wang Youjun, Zou Wenming; On a class of Schrodinger systems with critical exponents;
. 142(2012), No.1, 199每213.**Proc. Roy. Soc. Edinburgh, Sect. A** - Chen Zhijie, Zou Wenming; Ground states for a system of Schr?dinger equations with critical exponent,
262(2012), No. 7, 3091-3107.*J. Funct. Anal.* - Wang Youjun; Zou Wenming; Bound states to critical quasilinear Schrodinger equations;
*NoDEA*19(2012), No.1,19-47.*Nonlinear Differential Equations Appl.* - He Xiaoming; Zou Wenming, Existence and concentration behavior of positive solutions for a Kirchhoff equation in R 3,
, 252(2012), No.2, 1813-1834**J. Diifferential Equations** - Chen Zhijie, Zou Wenming, On an elliptic problem with critical exponent and Hardy potential.
*J. Differential Equation,**2*52(2012), No. 2, 969-987. - Zou Wenming, Rabinowitz's theorems revisited.
25每238, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7. World Sci. Publ., Hackensack, NJ, 2011.*Progress in variational methods*, 2 - Chen Zhijie, Zou Wenming, n coupled systems of Schrodinger equations,
, 16(2011), No. 7-8, 775-800.**Adv. Differential Equations**

**2010 and before: **

- M. Schechter, Wenming Zou, On a Brezis-Nirenberg Theorem.
**Archive for Rational Mechanics and Analysis,****197(2010), 337-356.**

- M. Ramos, H. Tavares and W. Zou, A Bahri-Lions theorem revisted,
*Advances in Mathematics 222 (2009) 2173每2195* - W. Zou, S. Li, On Schechter's Linking Theorems,
**J.Functional Analysis,**.*258 (2010), 3347每3361* - N. Hirano and W. Zou, A purerbation Method for Multiple Sign-changing Solutions,
**Calc. Var. (2010) ,No.1-2, 37:87每98** - Gianni Arioliㄛ Andrzej Szulkinㄛ Wenming ZouㄛMultibump solutions and critical groupsㄛ
, No6, 3159-3187.*Trans. Amer. Math. Soc. 361(2009)*

- Wenming Zou, On finding Sign-changing Solutions,
234(2006),364-419.**J. Functional Analysis,** - M. Schechter, Wenming Zou, On sign-changing solution to perturbed elliptic equations,

228(2005) 1-38.**J. Functional Analysis,** - M. Schechter, Wenming Zou, Sign-changing criticalpoints of linking type theorems,
Vol. 358 (No.12)}(2006), 5293-5318.**Trans. American Math.Society,**

- Wenming Zou, Sign-Changing Saddle Point,
219(2005), 433-468.**J.Functional Analysis,** - M. Schechter, Wenming Zou, Double Linking Theorem and Multiple Solutions,

205(2003), 37-61.**J. Functional Analysis,** - A. Szulkin, Wenming Zou, Homoclinic Orbit for Asymptotically Linear Hamiltonian Systems,

(187)(2001), 25-41.**J. Function Analysis,** - M. Schechter, Z-Q. Wang, Wenming Zou, New Linking Theorem and Sign-Changing Solutions,
, 29(No. 3-4, 2004), 471-488.**Communication in Partial Differential Eqnuation** - Wenming Zou, Computations of cohomology groups and applicatios to asymptotically linear beam equations and noncooperative systems,
, 27 (2002), 115-148.**Communication in Partial Differential Eqnuation** - M. Schecher, Wenming Zou, Infinite-Dimensional Linking Theorem and Applications
201ㄗ2004ㄘ324-350.*Journal of Differential Equatios.* - Wenming Zou and S. Li, Infinitely many solutions for two classes of the second order Hamiltonian systems.
186(2002) 141-164.**Journal of Differential Equations.** - A. Szulkin, Wenming Zou, Computations of E-cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems,
174(2001), 369-391.*Journal of Differential Equations,* - Wenming Zou, J. Liu, Multiple solutions for elliptic resonant problem via local linking theory and Morse theory,
170(1)(2001), 68-95*Journal of Differential Equations.* - M. Schechter, Wenming Zou, Superlinear Problem.
214 ㄗ2004), 145-160*Pacific J. Math.* - Wenming Zou, Variant Fountain Theorems and Their Applications,
104( 2001), 343-358.*Manuscripta Mathematica,* - M. Willem and Wenming Zou, On a Schrodinger equation with periodic potential and spectrum point zero,
52 (2003), 109-132.*Indiana Univ. Math. J.* - M. Schechter, Wenming Zou, Homoclinic orbits for Schrodinger systems.
51 (2003), 59--71.*Michigan Math. J.* - M. Schechter, Wenming Zou, Weak Linking Theorems and Schrodinger Equations with critical Sobolev exponent.
9, 2003 pp. 601-619**Control, Optimisation and Calculus of Variations,**

- Wenming Zou, Some recent results in linking theory and its applications,
63(2005), e1979-e1988.*Nonl. Anal. TMA,*

- Xiaoming He and Wenming Zou, Nontrivial solutions for some singular critical growth semilinear elliptic equations.
.68, (2008), no. 12, 3719-3732.*Nonlinear Anal* - Wenming Zou, S. Li, New Linking Theorem and Elliptic Systems with Nonlinear Boundary Condition,
52 (2003),1797-1820**Nonlinear Analysis TMA.** - M. Schechter, Wenming Zou, Weak Linking,
55(2003), 695-706.**Nonlinear Analysis TMA,** - Wenming Zou, S. Li, Infinitely Many Homoclinic Orbits for Second Order Hamiltonian Systems.
16 (2003), 1283-1287.*Appl. Math. Letter.* - Wenming Zou, Multiple solutions for elliptic equations with resonance.
(48)(2002), 363-376.*Nonlinear Analysis, TMA.* - Wenming Zou, Solitary Waves of the Generalized Kadomtsev-Petviashvili Equations.
15(2002), 35-39.**Applied Mathematics Letter,** - Wenming Zou, Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonia n systems.
{49}(4)(2002), 481-499.*Nonlinear Analysis, TMA.* - Wenming Zou, Multiple solutions for asymptotically linear elliptic systems,
255(2001), 213-229.**J. Mathematical Analysis and Applications,** - Wenming Zou, Multiple solutions for second order Hamiltionian systems via computation of the critical groups.
44 (2001), 975-989**Nonlinear Analysis, TMA.** - Wenming Zou , S. Li , J. LIU, Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups.
. 38(1999), 229-247.*Nonlinear Analysis, TMA* - S. Li , Wenming Zou, The computations of the critical groups with an application to elliptic resonant problem at higher eigenvalue.
235(1999), 237-259*Journal of Mathematical Analysis and Applications,* - Wenming Zou, Solutions for resonant elliptic system with non-odd or odd nonlinearities,
223(1998),397-417.**Journal ofMathematical Analysis and Applications** - 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.
, 4(1998), 485-496.**Discrete and Continuous Dynamic Systems** - Shujie Li , Wenming Zou, Remarks on a class of elliptic problems with critical Sobolev exponants.
32 (1998), 769-774**Nonlinear Analysis, TMA.** - Wenming Zou, Positive fixed point and eigenvalue results for weakly inward maps,
27 (1996), 1447-1461.*Nonlinear Analysis, TMA.*

- M. Schechter, Wenming Zou, On functionals bounded from below,
37(2003),75-80.**Functional Analysis and its Application,** - Wenming Zou, Positive eigenvector for weakly inward maps,
28 (1997), 1391-1398.*Indian J. Pure and Applied Math.* - Wenming Zou, Positive fixed point and eigenvalues for weakly inward set-contraction maps,
, 16 (1996), 17-20.*J. Systems Sciences and Mathematical Sciences* - M. Schechter, Wenming Zou, The method of weak linking,
, 323-334, World Sci, Publishing, River Edge, NJ, 2004*Abstract and applied analysis* - Wenming Zou, Some new fixed point theorems for weakly inward mappings,
3 (1994), 313-328.**Analele Stiitifice, IASI.**

- Xiaoming He and Wenming Zou, Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients.
56(2008), no. 4, 1025-1031.*Comput. Math. Appl.*

- Xiaoming He and Wenming Zou, Multiplicity of solutions for quasilinear Brezis-Nirenberg type problems involving singular weights.
*Int.*44(2008), no. 4,**J. Pure Appl. Math.**

493--507. - Xiaoming He and Wenming Zou, Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations.
197(2008), no. 2, 858-863.**Appl. Math. Comput.** - M. Ramos, W. Zou, A note on nodal non-radially symmetric solutions to Emden-Fowler equations.
*E. JDE,2009,* - X. He, W. Zou, Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev-Hardy exponents.
, 2009, 97--108.*Proc. Edinb. Math. Soc. (52)* - X. He, W. Zou, Infinitely many positive solutions for Kirchhoff-type problems.
, 1407-1414.*Nonl. Anal. TMA, 2009, No3* - X. He, W. Zou,Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions,
71(2009), 4646-4656.*Nonl. Anal. TMA, 2009,* - 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.* - 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.** - He, Xiaoming; Zou, Wenming Multiplicity of solutions for a class of elliptic boundary value problems,
**Nonlinear Anal. 71 (2009), no. 7-8, 2606--2613.**

**Preprints**

- Ground states of Schrodinger equations with critical exponential growth in RN (with J. Zhang)
- A concentration behavior for semilinear elliptic systems with indefinite weight (with X. Zhong
- On doubly critical elliptic systems in RN involving indefinite weights (with X. Zhong)
- Ground state and multiple solutions via generalized Nehari manifold (with X. Zhong)
- Critical Schrodinger systems in RN with indefinite weight and Hardy potential (with X. Zhong)

- Sign-changing Solutions and Phase Separation for an Elliptic System with Critical Exponent (with Z. Chen, C. S. Lin)
- Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system (with Z. Chen, C. S. Lin)
- On a critically coupled perturbed Brezis-Nirenberg problem (with Z. Chen)

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