彭雙階

彭雙階，教授職稱，博士學位，主要研究非線性偏微分方程，現任華中師範大學數學與統計學學院教授、數學與統計學院院長。

基本介紹

• 中文名：彭雙階
• 國籍：中國
• 職稱：教授
• 性別：男

基本介紹

學位 博士

研究方向 非線性偏微分方程

學習經歷

1986,9~1990,6: 湖北大學數學專業

1995,8~1998,6: 華中師範大學數學系基礎數學專業碩士學位研究生,

獲基礎數學碩士學位

2000,9~2003,7: 中國科學院數學與系統科學研究院博士學位研究生,

獲套用數學博士學位。

研究方向

非線性偏微分方程與奇異攝動問題

工作經歷

1990, 8~1995, 8: 湖北省孝昌縣周巷中學教師

1998, 7~2003, 8: 湖北省孝感學院數學系, 講師,副教授

2003, 9~2005, 7: 中國科學院武漢物理與數學研究所, 副研究員

2004, 1~2005, 8: 受德國洪堡基金會資助在德國吉森大學做洪堡學者

2005, 8~ : 華中師範大學數學與統計學學院, 教授.

研究課題：

1.國家傑出青年科學基金：非線性泛函分析（11125101）, 140萬， 2012,01-2015,12， 主持人

2.湖北省重大人才工程“高端人才引領培養計畫”: 100萬，2012-2016，主持人

3.教育部博士點基金：橢圓型偏微分方程中典型問題的研究（20110144110001），12萬， 2012,01-2014,12，主持人

4.國家自然科學基金:非線性薛定鍔方程和自由邊值問題中的典型問題（11071092），28萬，2011，01-2013，12, 主持人

5. 國家自然科學基金重點項目: “非線性橢圓與拋物方程的理論及其套用研究”（10631030）, 130萬元，2007，01-2010，12,核心成員

6. 國家自然科學基金: 非線性橢圓方程與障礙問題(10571069), 27萬元, 2006,01—2008,12.排序二

7.2007年教育部新世紀優秀人才支持計畫(NCET-07-0350),50萬元，主持人

8.教育部科學技術重點項目：關於帶電磁場的薛丁格方程的研究(107081)（10萬元），2007，01-2009，12，主持人

9.教育部留學歸國人員科研啟動基金:奇異橢圓型偏微分方程的研究, 2.5萬元,主持人

主要論文

1. Chang-Shou Lin and Shuangjie Peng: Segregated vector solutions for linearly coupled nonlinear Schrodinger systems, Indiana Univ. Math. J., to appear.

2. Yi He, Gongbao Li and Shuangjie Peng: Concentrating bound states for Kirchhoff type problems in R^3 involving critical Sobolev exponents, Adv. Nonlin.Studies, to appear.

3. Yinbin Deng, Shuangjie Peng and Huirong Pi: Bound states with clustered peaks for nonlinear Schrodinger equations with compactly supported potentials, Adv. Nonlin.Studies, to appear.

4. Shuangjie Peng and Yanfang Peng: Least energy sign-changing solutions for a singular elliptic equation in lower dimensions, Comm. Contem. Math., to appear.

5. Yinbin Deng, Shuangjie Peng and Li Wang: Infinitely many radial solutions to elliptic system involving critical exponents, Discrete Contin. Dyn. Syst., 34(2014), 461-475.

6. Daomin Cao, Shuangjie Peng and Shusen Yan: On the Webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry, J. Geom. Anal., 23(2013), 1674-1702.

7. Yinbin Deng, Shuangjie Peng and Jixiu Wang: Nodal soliton solutions for quasilinear Schrodinger equations with critical exponent, J. Math. Phys. 54(2013), no.1, 011504, 28pp.

8. Shuangjie Peng and Zhi-Qiang Wang: Segregated and synchronized vector solutions for nonlinear Schrodinger systems, Arch. Ration. Mech. Anal., 208(2013), 305-339.

9. Daomin Cao and Shuangjie Peng:Concentration of solutions for the Yamabe problem on half-spaces, Proc. Roy. Soc. Edinburgh Sect. A, 143(2013), 73-99.

10. Dongsheng Kang and Shuangjie Peng: Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials, Sci. China Math, 55 No.10 (2012)，2027-2044.

11.Yinbin Deng, Lingyu Jin and Shuangjie Peng: Solutions of Schrodinger equations

with inverse square potential and critical nonlinearity, J. Differential Equations, 253(2012), 1376-1398.

12. Daomin Cao, Shuangjie Peng and Shusen Yan: Infinitely many solutions for p-Laplacian　equation involving critical Sobolev growth, J. Funct. Anal., 262(2012), 2861-2902.

13. Yinbin Deng, Shuangjie Peng and Li Wang: Existence of multiple solutions for a nonhomogeneous semilinear elliptic equation involving critical exponent, Discrete Contin. Dyn. Syst., 32(2012), 795-826.

14.Gongbao Li, Shuangjie Peng and Chunhua Wang: Infinitely many solutions for nonlinear Schr\"{o}dinger equations with electromagnetic fields, J. Differential Equations, 251(2011), 3500-3521.

15. Gongbao Li, Shuangjie Peng and Chunhua Wang: Multi-bump solutions for the nonlinear Schr\"{o}dinger-Poisson system, J. Math. Phys. 52(2011), no.5, 053505, 19 pp.

16. Yinbing Deng, Shuangjie Peng and Jixiu wang: Infinitely many sign-changing solutions for quasilinear Schrodinger equations in R^N, Commun.Math.Sci. 9(2011), 859-878.

17.Dongsheng Kang and Shuangjie Peng: Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents, Sci.China Math, 54(2011), 243-256.

18. Yi Li and Shuangjie Peng: Multiple solutions for an elliptic problem related to vortex pairs, J. Differential Equations, 250(2011), 3448-3472.

19. Daomin Cao, Shuangjie Peng and Shusen Yan: Multiplicity of solutions for the plasma problem in two dimensions, Advances in Mathematics, 225(2010), 2741-2785.

20. Na Ba, Yinbin Deng and Shuangjie Peng: Multi-peak bound states for Schrodinger equations with compactly supported or unbounded potentials, Ann. Inst. H. Poincaré Anal. Non Linéaire 27(2010), 1205-1226.

21. Thomas Bartsch and Shuangjie Peng:Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations II, J. Differential Equations, 248(2010), 2746-2767.

22. Daomin Cao and Shuangjie Peng, Semi-classical bound states for Schrodinger equations with potentials vanishing or unbounded at infinity, Comm. Partial Differential Equations, 34(2009),1566-1591.

23.Thomas Bartsch and Shuangjie Peng : Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations I, Indiana Univ.Math. J. 57(2008),1599-1632.

24. Yinbin Deng, Lingyu Jin and Shuangjie Peng: A Robin boundary problem with Hardy potential and critical nonlinearities, Journal d'Analyse Mathematique, 104(2008), 125-154.

25. Thomas Bartsch, Shuangjie Peng and Zhitao Zhang: Existence and non-existence of solutions to ellipticm equations related to the Caffarelli-Kohn-Nirenberg inequalities, Calc. Var. Partial Differential Equations 30 (2007),113-136.

26. Gongbao Li, Shuangjie Peng and Shusen Yan: A new type of solutions for a singularly perturbed elliptic Neumann problem, Revista Mat. Iberoa.,23(2007),1039-1066.

27. Daomin Cao and Shuangjie Peng: Multi-bump bound states of Schrodinger equations with a critical frequency, Math. Ann., 336(2006):925-948.

獎勵情況

2007年教育部"新世紀優秀人才支持計畫"人選

2003年中國科學院院長特別獎