2014/1/-2017/12, Hosted the National Natural Science Foundation of China, Some problems of  parabolic and elliptic equations and systems, No. 11371050.

2011/1/-2013/12, Hosted the National Natural Science Foundation of China, Regularities of nonlinear degenerate elliptic problems with discontinuous coefficients, No.11071012.

1.      Zheng SZ, Energy quantization for approximate H-surfaces and applications, Electronic Journal of Differential Equations, Vol. 2013( 177):1-13,2013.

2.      Wang CY, Zheng SZ. Energy identity for a class of approximate biharmonic maps into sphere in dimension four. Discrete Conti. Dyn. Syst.A, 33(2),(2013): 861-878.

3.      Zheng SZ, Feng ZS. Green functions for a class of nonlinear degenerate operators with X-ellipticity. Transactions of Amer. Math. Soc., 364(7),( 2012):3627–3655.

4.      Wang CY, Zheng SZ. Energy identity of approximate biharmonic maps to Riemannian manifolds and its application. Journal of Functional Analysis, 263, (2012) :960–987.

5.      Feng ZS, Tian J, Zheng SZ, Lu HF. Travelling wave solutions of the Burgers- Huxley equation. IMA J. Applied Math, 77(3),(2012):316-325.

6.      Zheng SZ, Weak compactness of biharmonic maps, Electronic Journal of Differential Equations, 2012(190), pp 1-7, 2012

7.      Zheng SZ. Regularity of a class of degenerate elliptic equations with discontinuous coefficients under controllable growth. J. Sys. Sci.& math. Scis. 32(5) ,(2012):549-561.

8.      Zheng SZ, Feng ZS. Optimal regularity for A-harmonic type equations under the natural growth. Discrete Contin. Dyn. Syst.B,16(2),( 2011): 669-685.

9.      Gao, HY, Zheng, SZ, Yue, YQ. Beltrami system with two characteristic matrices and variable coefficients. Boundary value problems, integral equations and related problems, World Sci. Publ., Hackensack, NJ, (2011):170–178

10.   Zheng SZ, Lu HF. An application Green function to interior Holder continuity of X-elliptic equations. Chinese Ann. Math., 31A(3),(2010): 295–304.

11.   Zheng SZ, Wang XF. Regularity of very weak solutions for a class of quasilinear subelliptic equations. Acta Math. Scienta , 30A(2),( 2010):432–439.

12.   Wang CH, Zheng SZ. L^{p,/lambda} regularity of a class of degenerate elliptic equations with discontinuous coefficients. J. Sys. Sci.& math.Scis.30(2), (2010): 157-172.

13.   Feng ZS, Zheng SZ, Gao D. Traveling wave solutions to a reaction-diffusion equation. Z. angew. Math. Phys.60,(2009): 756—773.

14.   Wang YD and Zheng SZ. The Existence and behavior of solutions for nonlocal boundary problems. Boundary Value Problems,2009, Article ID 484879, 17 pages.

15.   Zheng SZ, Zhang LP, Feng ZS. Everywhere regularity for p-harmonic type systems under the subcritical growth. Comm. Pure and Appl. Anal.,7(1), (2008): 112—122.

16.   Zheng SZ, Feng ZS. Regularity for quasilinear elliptic systems with discontinuous coefficients. Dyn. Partial Differ. Equ, 5(1), (2008):87-99.

17.   Zheng SZ, Zheng XL, Feng ZS. Regularity for a class of degenerate ellptic equations with discontinuous coefficients under natural growth. J. Math.Anal. Appl., 346(3), (2008):359-373.

18.   Zheng SZ. Regularity for quasi-linear degenerate elliptic equations with VMO coefficients. Acta Math. Sinica, 24(8),(2008):1909-1924.

19.   Feng ZS, Zheng SZ, Lu HF. Green's function of nonlinear degenerate elliptic operators and its application to regularity. Diff. and Integral Equ.,21(7-8), (2008): 717-741.

20.   Zheng SZ. Partial regularity for quasi-linear elliptic system with VMO coefficients under the natural growth. Chinese J. of Contemp. Math., 29(1),(2008): 55–64..

21.   Zheng XL , Zheng SZ. Sharp Holder exponents for nonlinear degenerate elliptic equations with the natural growth. Acta Math. Sinica, 51(4),(2008): 735–748.

22.   Zhao SL, Zheng SZ. -regularity of quasi-linear elliptic equations with VMO coefficients. Acta Math. Sinica, 50(1),(2007): 17-24.

23.   Zheng SZ, Zhao SL, Regularity for -harmonic systems with gradient below the critical growth. Acta Math. Sinica,22(6),(2006): 1757-1766.

24.   Zheng SZ, Kang XY. The comparison of Green function for quasi-linear elliptic equations. Acta Math. Scienta, 25B(3),(2005): 470-480.

25.   Zheng SZ. Regualrity results for the generalized Beltrami system. Acta Math. Sinica, 20(2),(2004): 193-204.

26.   Zheng SZ. Removable singularities of solutions of A-harmonic type equation. Acta Math. Appl. Sinica, 20(1),(2004): 115-122.

27.   Zheng SZ. Regularity of weak quasi-regualr mappings. Chinese Ann. Math., 25A(6), (2004): 799-804.

28.   Zheng SZ. Riemann-Hilbert boundary value for N-analytic functions. Proceeding of 8th International Colloquium, 8,( 2001): 292-298.

29.   Zheng SZ, Zheng XL. Bianalytic functions, biharmonic functions and elastic problems in the plane. Applied Math. Mech., 21(8),(2000): 885-890.

30.   Zheng SZ, Fang AN. Regularity of very weak solutions for a class of nonlinear elliptic systems. Acta Math. Sinica, 14, (1998): 733-740.

31.   Zheng SZ. Partial regularity for A-harmonic systems and quasi-regular mappings. Chinese J. of Contemp. Math. 19(1),(1998): 19-30.

32.   Zheng SZ. Partial regularity for A-harmonic systems and quasi-regular mappings. Chinese Ann. Math., 19A(1),(1998): 63-72.

33.   Zheng SZ, Fang AN. -integrability for - quasi-regular mappings. Acta Math. Sinica, 41(5), (1998): 1019-1024.

34.   Zheng SZ, Fang AN. Notes on degenerate quasi-regular mappings. Chinese Ann Math., 19A(6),(1998): 741-748.

35.   Zheng SZ. -integrability of Beltrami system below the natural growth. Acta Math. Scienta, 18A,(1998): 13-20.

36.   Zheng SZ. Beltrami system with double character matrices and quasi-regular mappings. Acta Math. Sinica, 40(5),(1997): 745-750.

  Awards & Honors

1998/10, awarded a key member of the outstanding young teacher of Beijing.

Recently invited talks in some famous departments of mathematics of American’s University or international conferences:

1. Energy identity of approximate biharmonic maps and application. 2012 Spring Workshop on Integrable Systems and Solitons, University of Texas Pan-American, Edinburg, April,USA,2012.
2. Energy quantization for biharmonic maps to sphere. The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Hyatt Grand Cypress, Orlando, Florida, USA, July, 2012.
3. Remarks on approximate biharmonic maps to manifold. University of Kentucky, USA, March, 2012.
4. An application of Green functions of nonlinear equation to regularity. The 12th conference singular integral equations and boundary value problems, Guangxi national University, Nanning, 2011.
5. The estimates of Green functions of nonlinear degenerate operators .The 8th conference of Boundary value problems, integral equations and related problems, Peking University, 2010.
6. Green functions of a class of degenerate operators with X-ellipticity. University of Texas Pan-American, Texas, USA, May, 2008.