彭双阶，教授，博士生导师。现为华中师范大学数学与统计学学院院长、国际数学期刊《Comm.Pure Appl.Anal.》、《J. Scientific Resesrch and Report》编委、《数学物理学报》（中、英文版）常务编委、《应用数学学报》编委，《应用数学》编委，美国《数学评论》评论员、湖北省暨武汉市数学会常务理事、中国数学会会员。2003年获中国科学院院长特别奖，2007年入选教育部"新世纪优秀人才支持计划"，2009年获得教育部自然科学奖二等奖，2010年获得湖北省自然科学奖一等奖，2011年获得国家杰出青年科学基金，2012年入选首批湖北省重大人才工程“高端人才引领培养计划”并荣获湖北省第六届优秀科技工作者称号。教学成果两次获得国家级教学成果奖二等奖，三次获得湖北省高等学校教学成果奖一等奖。
一、研究领域
非线性偏微分方程、非线性泛函分析、奇异摄动理论等
二、主要学术经历
1986,08~1995,08: 湖北省孝昌县周巷镇中学教师
1998,07~2003,08: 湖北省孝感学院数学系, 讲师,副教授
2003,09~2005,07: 中国科学院武汉物理与数学研究所, 副研究员
2004,01~2005,08: 受德国洪堡基金会资助在德国吉森大学做洪堡学者
2004,06~2004,06: 瑞士洛桑联邦高工应用数学系
2004,06~2004,07: 瑞士苏黎世大学数学系
2004,11~2004,11: 德国Cottbus工业大学数学研究所
2005,06~2005,06: 德国Meinz大学数学研究所, 第二届德国美国数学会联合会议
2005,06~2005,07: 德国Oberwolfach数学研究所
2005,08~今，华中师范大学数学与统计学学院, 教授, 博士生导师
三、研究成果和代表作
99. Daomin Cao, Peng Luo and Shuangjie Peng: The number of positive solutions to the the Brezis-Nirenberg problem, Trans. Amer. Math. Soc., 374(2021), 1947-1985.
98. Peng Luo, Shuangjie Peng, Juncheng Wei and Shusen Yan: Excited states of Bose-Einstein condensates with degenerate
attractive interactions, Calc. Var. Partial Differential Equations 60 (2021), no. 4, Paper No. 155, 33 pp.
97. Qi Li and Shuangjie Peng: On the fractional Lazer-McKenna conjecture with critical growth, Proc. Royal Soc. Edinburgh, (2021), DOI:10.1017/prm.2021.40
96. Mengyao Chen, Qi Li and Shuangjie Peng: Bound states for fractional Schrodinger-Poisson system with critical exponent, Discrete Contin. Dyn. Syst. Ser. S 14 (2021), no. 6, 1819-1835.
95. Yuxia Guo, Monica Musso, Shuangjie Peng and Shusen Yan: Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications, J. Funct. Anal. (2020), 108553.
94. Peng Luo, Shuangjie Peng and Chunhua Wang: Uniqueness of positive solutions with concentration for the
Schrödinger-Newton problem, Calc. Var. Partial Differential Equations, (2020), 59:60.
93. Wei Long and Shuangjie Peng: Positive vector solutions for a Schrödinger system with external source terms, NoDEA Nonlinear Differential Equations Appl., 27(2020), No 5, 36pp.
92.Dengfeng Lu and Shuangjie Peng: Multi-peak solutions for singularly perturbed doubly nonlocal elliptic equations,Comm. Contem. Math., 22(2020), 1850074, 37pages.
91.Gongbao Li, Peng Luo, Shuangjie Peng, Chunhua Wang and Chang-Lin Xiang: A singularly perturbed Kirchhoff problem revisited, J. Differential Equations, 268(2020), 541-589.
90.Daomin Cao, Yuxia Guo, Shuangjie Peng and Shusen Yan: Local uniqueness for vortex patch problem in incompressible planar steady flow, J. Math. Pures Math., (9) 131(2019), 251-289.
89. Lun Guo, Tingxi Hu, Shuangjie Peng and Wei Shuai: Existence and uniqueness of solutions for Choquard equation
involving Hardy–Littlewood–Sobolev critical exponent, Calc. Var. Partial Differential equations, 58(2019), 128: 34pp.
88.Shuangjie Peng, Qingfang Wang and Zhi-Qiang Wang: On coupled nonlinear Schrodinger systems with mixed couplings,Trans. Amer.Math. Soc., 371(2019), 7559-7583.
87.Shuangjie Peng, Chunhua Wang and Suting Wei: Constructing solutions for the Prescribed scalar curvature problem via local Pohozaev identities, J. Differential Equations, 267(2019), 2503-2530.
86. Qihan He and Shuangjie Peng: Existence, characterization and number of ground states for coupled equations, Electron. J. Differential Equations 2019, Paper No. 127, 18 pp.
85.Peng Luo, Shuangjie Peng, Chunhua Wang and Chang-Lin Xiang: Multi-peak positive solutions to a class of Kirchhoff equations,Proc. Roy. Soc. Edinburgh Sect. A,149(2019),1097-1122.
84.Xiaoming An, Shuangjie Peng and Chaodong Xie: Semi-classical solutions for fractional Schrödinger equations with potential vanishing at infinity, J. Math. Phys., 60(2019),021501, 18pp.
83.Xiaoming An, Shuangjie Peng and Chaodong Xie: Achievability of a supremum for the Hardy-Littlewood-Sobolev inequality with supercritical exponent, Sci China Math., 62(2019), 2497-2504.
82.Shuangjie Peng, Yanfang Peng and Qingfang Wang: Sign-changing solutions for an ellictic systemwith critical exponent in dimension N=5, Journal d'Analyse Mathematique,137(2019), 231-249.
81. Daomin Cao, Shuangjie Peng and Shusen Yan: Regularization of planar vortices for the incompressible flow. Acta Math. Sci. Ser. B (Engl. Ed.), 38 (2018), no. 5, 1443-1467.
80.Shuangjie Peng, Chunhua Wang and Shusen Yan: Construction of solutions via local Pohozaev identities, J.Funct. Anal., 274（2018)，2606-2633.
79.Yinbin Deng, Shuangjie Peng and Wei Shuai: Nodal standing waves for a gauged nonlinear Schrodinger equation in R^2, J.Differential Equations, 264(2018),4006-4035.
78.Daomin Cao, Zhongyuan Liu and Shuangjie Peng: Sign-changing bubble tower solutions or the supercritical Henon type equations,Annali di Mathematica Pura ed Applicata,197（2018),1227-1246.
77.Yinbin Deng, Shuangjie Peng and Jixiu Wang: Nodal solutions for a quasilinear elliptic equation involving the p-Laplacian and critical exponent, Adv.Nonlinear Stud.,18(2018),17-40.
76.Dengfeng Lv and Shuangjie Peng: Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems, J. Differential Equations, 263(2017),8947-8978.
75.Qihan He, Shuangjie Peng and Yanfang Peng: Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional slliptic system, Adv. Differential Equations, 22(2017), 867-892.
74.Yuxia Guo, Shuangjie Peng and Shusen Yan: Local uniqueness and periodicity induced by concentration,Proc. Lond. Math. Soc.（3）, 114(2017), 1005-1043.
73. Shuangjie Peng, Wei Shuai and Qingfang Wang: Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent, J. Differential Equations, 263(2017), 709-731.
72. Dengfeng Lu and Shuangjie Peng: On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling,Discrete Contin. Dyn.Syst.,37(2017),3327-3352.
71. Daomin Cao, Shuangjie Peng and Qingfang Wang: Pohozaev恒等式及其在偏微分方程中的应用， Sci. Sin. China,46(2016), 1649-1674. (综述文章)
70.Shuangjie Peng, Yan-Fang Peng and Zhi-Qiang Wang: On elliptic systems with Sobolev critical exponent,Calc. Var. Partial Differential Equations, 55(2016), No.6, 30pp.
69. Qihan He and Shuangjie Peng: Synchronized vector solutions to an elliptic system,Proc. Amer.Math. Soc., 144(2016), 4055-4063.
68. Zhongyuan Liu and Shuangjie Peng: Solutions with large number of peaks for the supercritical Henon equation, Pacific J. Math., 280(2016), 115-139.
67. Wei Long and Shuangjie Peng: Multiple positive solutions for a type of nonlinear Schrodinger equations, Ann. Sc. Norm. Super. Pisa, Cl. Sci., 16(2016), 603-623.
66. Yinbin Deng, Shuangjie Peng and Shusen Yan: Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations, J. Differential quations, 260(2016), 1228-1262.
65. Zhongyuan Liu and Shuangjie Peng: Infinitely many double-boundary-peak solutions for a Henon-like equation with critical nonlinearity, J. Differential Equations, 260(2016), 370-400.
64. Shuangjie Peng and Huirong Pi: Spike vector solutions for some coupled nonlinear Schrodinger equations, Discrete Contin. Dyn. Syst., 36(2016), 2205-2227.
63. Wei Long, Shuanjie Peng and Jing Yang: Infinitely many positive solutions and sign-changing solutions for nonlinear fractional Schrodinger equations, Discrete Contin. Dyn. Syst.,36(2016),175-201.
62. Yinbin Deng, Shuangjie Peng and Wei Shuai: Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in R^3, J. Funct. Anal., 269(2015), 3500-3527.
61. Shuanjie Peng and Jing Yang: Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Mazya term, Acta Math. Sinica, 31(2015), 893-912.
60.Shuangjie Peng and Chunhua Wang: Infinitely many solutions for a Hardy-Sobolev equation involving critical growth, Math. Methods Appl. Sci., 38(2015), 197-220.
59. Daomin Cao, Shuangjie Peng and Shusen Yan: Planar vortex patch problem in incompressible steady flow, Advances in Mathematics, 270(2015), 263-301.
58. Yi Li and Shuangjie Peng: Multi-peak solutions to two types of free boundary problems, Calc. Var.Partial Differential Equations, 54(2015), 893-912.
57. Yinbin Deng, Shuangjie Peng and Shusen Yan: Positive soliton solutions for generalized quasilinear Schrodinger equations with critical growth, J. Differential Equations, 258(2015), 115-147.
56. Shuangjie Peng and Huirong Pi: Boundary concentrating solutions for a Henon-like equation, Proc. Roy. Soc. Edinburgh Sect. A, 145(2015), 175-201.
55. Yinbin Deng, Shuangjie Peng and Jixiu Wang: Nodal soliton solutions for generalized quasilinear Schrodinger equations, J. Math. Phys., 55(2014), 051501,16pp.
54. Wei Long and Shuangjie Peng: segregated vector solutions for a class of Bose-Einste in systems,J. Differential Equations, 257(2014),207-230.
53. Chang-Shou Lin and Shuangjie Peng: Segregated vector solutions for linearly coupled nonlinear Schrodinger systems, Indiana Univ. Math. J., 63(2014), 939-967.
52. Yi He, Gongbao Li and Shuangjie Peng: Concentrating bound states for Kirchhoff type problems in R^3 involving critical Sobolev exponents, Adv. Nonlin.Studies, 14(2014), 441-468.
51. Yinbin Deng, Shuangjie Peng and Huirong Pi: Bound states with clustered peaks for nonlinear Schrodinger equations with compactly supported potentials, Adv. Nonlin.Studies, 14(2014), 421-439.
50. Shuangjie Peng and Yanfang Peng: Least energy sign-changing solutions for a singular elliptic equation in lower dimensions, Comm. Contem. Math., 16(2014), no.4, 1350048, 16pp
49. 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.
48. 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.
47. 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.
46. Shuangjie Peng and Zhi-Qiang Wang: Segregated and synchronized vector solutions for nonlinear Schrodinger systems, Arch. Ration. Mech. Anal., 208(2013), 305-339.
45. 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.
44. 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.
43. 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.
42. 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.
41. 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.
40.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.
39. 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.
38. 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.
37.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.
36. Yi Li and Shuangjie Peng: Multiple solutions for an elliptic problem related to vortex pairs,J. Differential Equations, 250(2011), 3448-3472.
35. Daomin Cao, Shuangjie Peng and Shusen Yan: Multiplicity of solutions for the plasma problem in two dimensions, Adv. Math., 225(2010), 2741-2785.
34. 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.
33. Thomas Bartsch and Shuangjie Peng:Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations II, J. Differential Equations, 248(2010), 2746-2767.
32. Gongbao Li, Shuangjie Peng and Shusen Yan: Infinitely many positive solutions for the nonlinear Schrodinger-Poisson system, Comm. Contem. Math., 12(2010), 1069-1092.
31. Shuangjie Peng and Jing Zhou, Concentration of solutions for a Paneitz type problem, Discrete Contin. Dyn. Syst., 26（2010）1055-1072.
30. 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.
29. Bingyu Kou and Shuangjie Peng, Quasilinear elliptic equations with Neumann boundary and singularity, Acta Math. Appl. Sin., 25 (2009)
28. Shujuan Li and Shuangjie Peng, Asymptotic behavior on the Henon equation with supercritical exponent, Sci. China, 52(2009), 2185-2194.
27. Daomin Cao, Shuangjie Peng and Shusen Yan, Asymptotic behavior of ground state solutions for the Henon equation, IMA J. Appl. Math.,74(2009), 468-480.
26. Daomin Cao and Shuangjie Peng, Solutions for the prescribing mean curvature equation, Acta Math. Appl. Sin., 24(2008),497-510.
25. Yinbin Deng, Lingyu Jin and Shuangjie Peng: Positive solutions for elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities, Comm. Contem. Math., 11(2009), 185-199.
24.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.
23.Gongbao Li and Shuangjie Peng: Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities, Proc. Amer. Math. Soc.. 136(2008),1221-1228.
22.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.
21. 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.
20.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.
19.Dongsheng Kang and Shuangjie Peng: Singular elliptic problems in with critical Sobolev–Hardy exponents, Nonlin. Analysis, TMA, 68(2008), 1332-1345.
18. Thomas Bartsch and Shuangjie Peng: Semiclassical symmetric Schrodinger equations:existence of solutions concentrating simultaneously on several spheres, Zeit. Angew. Math. Phys.,58(2007), 778-804.
17. Daomin Cao and Shuangjie Peng: Multi-bump bound states of Schrodinger equations with a critical frequency, Math. Ann., 336(2006):925-948.
16.Thomas Bartsch, E.Norman Dancer and Shuangjie Peng: On multibump semi-classical bound states of nonlinear Schrodinger equations with electromagnetic fields, Adv. Diff. Equations, 7 (2006), 781-812.
15. Wenliang Gao and Shuangjie Peng, An elliptic equation with combined critical Sobolev-Hardy terms,Nonlinear Analysis, TMA,65(2006), 1595-1612.
14. Daomin Cao and Shuangjie Peng: Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth, Annali di Mathematica Pura ed Applicata, 185(2006), 189-205.
13. Shuangjie Peng: Multiple boundary concentrating solutions to Dirichlet problem of Henon equation,Acta Mathematicate Applicate Sinica, 22(2006), 137-162.
12. Shuangjie Peng: Remarks on singular critical growth elliptic equation, Discrete Contin.Dyn. Syst., 14(2006),707-719.
11. Daomin Cao, Xiaoming He and Shuangjie Peng: Positive solutions for some singular critical growth nonlinear elliptic equations,Nonlinear Analysis TMA, 60(2005), 589-609.
10. Dongsheng Kang and Shuangjie Peng: Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential, Applied Math. Letter, 18(2005), 1094-1100.
9. Dongsheng Kang and Shuangjie Peng: Multiple solutions for elliptic problems with critical Sobolev-Hardy exponents. Israel Mathematical Journal, 143(2004), 281-297.
8. Dongsheng Kang and Shuangjie Peng: Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents, Nonlinear Analysis TMA., 56 (2004), 1151--1164.
7. Dongsheng Kang and Shuangjie Peng: Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents. Jour. Math. Anal. Appl., 291 (2004), 488—499.
6. Shuangjie Peng: Uniqueness of the symmetric single peak solutions to Neumann problem with critical Sobolev exponent, Nonlinear Analysis, TMA., 56(2004),19-42.
5. Dongsheng Kang and Shuangjie Peng: Positive solutions of singular elliptic equations, Applied Math.Letter, 17(2004), 411-416.
4. Daomin Cao and Shuangjie Peng: A note on the sign-changing solutions to elliptic problems with critical Sobolev exponent and Hardy terms, J. Differential Equations, 193(2003), 424-434.
3. Daomin Cao and Shuangjie Peng: A global compactness result for singular elliptic problems involving critical Sobolev exponent, Proc.Amer.Math.Soc., 131(2003), 1857-1866.
2. Daomin Cao and Shuangjie Peng: The asymptotic behavior of the ground state solutions for Henon equation, Jour. Math. Anal. Appl.,278(2003), 1-17
1.Yinbin Deng and Shuangjie Peng: Existence of multiple positive solutions for inhomogeneous Neumann problem, Jour. Math. Anal. Appl.,271(2002). 155-174.
四、主要科研项目
1.国家自然科学基金重点项目：非光滑变分理论及其在椭圆型偏微分方程研究中的应用（11831009），2019,01-2023,12，主持人
2.教育部“创新团队发展计划”(滚动支持)， 2018,01-2020，12，主持人
3.国家自然科学基金专项基金项目（天元）：p-Grushin算子及其方程的研究（1172633）,2018,01-2018,12，主持人
4.国家自然科学基金面上项目：椭圆型方程解的存在性及解的局部唯一性的研究(11571130), 2016，01-2019，12，主持人
5.国家杰出青年科学基金：非线性泛函分析（11125101）, 2012,01-2015,12， 主持人
6.湖北省重大人才工程“高端人才引领培养计划”，2012-2016，主持人
7.教育部“创新团队发展计划”， 2013-2015， 核心成员
8.教育部博士点基金：椭圆型偏微分方程中典型问题的研究（20110144110001),2012,01-2014,12，主持人
9.国家自然科学基金:非线性薛定锷方程和自由边值问题中的典型问题（11071092),2011，01-2013， 12, 主持人
10.华中师范大学中央高校科研基本业务费（国家重大科研项目培育项目）：非线性偏微分方程中的典型问题（CCNU09c01007），2009，12-2012，12， 主持人
11.2007年教育部新世纪优秀人才支持计划(NCET-07-0350),2008,01-2010,12, 主持人
12.国家自然科学基金重点项目: “非线性椭圆与抛物方程的理论及其应用研究”（10631030）, 2007，01-2010，12,核心成员
13.湖北省自然科学基金计划创新群体项目:“非线性偏微分方程的若干问题的研究”,2008,01-2009,12,核心成员
14.教育部科学技术重点项目：关于带电磁场的薛定谔方程的研究(107081)，2007，01-2009，12， 主持人
15.国家自然科学基金: 非线性椭圆方程与障碍问题(10571069),2006,01—2008,12.排序二
16.教育部留学归国人员科研启动基金:奇异椭圆型偏微分方程的研究, 2008,01-2010,12主持人
17.湖北省高校青年教师科技创新团队：“受限流体混合物的浸润与吸附研究” 2004,01—2006,12, 骨干
18.湖北省教育厅科研项目: 变系数椭圆偏微分方程的研(2004D004), 2004,01-2006,12. 主持人
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