基本信息

韩丕功 男 博导 数学与系统科学研究院
电子邮件:pghan@amss.ac.cn
通信地址:北京海淀区中关村东路55号中科院数学院
邮政编码:100190

研究领域

主要从事非线性偏微分方程和流体力学问题的研究;应用非线性分析来研究偏微分方程解的存在性,多解性等;利用Fourier 分析和半群理论研究不可压缩Navier-Stokes 方程解的正则性和大时间行为。

招生信息

   
招生专业
070104-应用数学
招生方向
非线性偏微分方程

教育背景

2001-09--2004-07 中国科学院数学与系统科学研究院 博士学位
学历

-- 博士研究生

学位
-- 博士

工作经历

2012年 2月被中国科学院数学与系统科学研究院聘为研究员

2007年 3月被中国科学院数学与系统科学研究院聘为副研究员   

2004年 7月被中国科学院数学与系统科学研究院聘为助理研究员   

2004年 7月在中国科学院数学与系统科学研究院获理学博士学位

教授课程

偏微分方程概论

专利与奖励

2006年荣获全国百篇优秀博士学位论文奖   

2010年荣获中国科学院卢嘉锡青年人才奖 

2011年荣获中国科学院数学院优秀教师奖
奖励信息
(1) 中国科学院卢嘉锡青年人才奖,院级级,2010
(2) 全国百篇优秀博士学位论文奖,部委级,2006

出版信息

1. Pigong Han and Zhaoxia Liu, Positive Solutions for Elliptic Equations Involving Critical Sobolev Exponents and Hardy Terms with Neumann Boundary Conditions, Nonlinear Analysis, 55 (2003) 167-186.   

2. Daomin Cao and Pigong Han, A Note on the Positive Energy Solutions for Elliptic Equations Involving Critical Sobolev Exponents, Applied Mathematics Letters, 16 (2003) 1105-1113.   

3. Daomin Cao and Pigong Han, Multiple Positive Solutions of Nonhomogeneous Elliptic Systems with Strongly Indefinite Structure and Critical Sobolev Exponents, Journal of Mathematical Analysis and Applications, 289 (2004) 200-215.   

4. Pigong Han and Zhaoxia Liu, The Sign-changing Solutions for Singular Critical Growth Semilinear Elliptic Equations, Differential and Integral Equations, 17 (2004) 835-848.   

5. Daomin Cao and Pigong Han, Solutions for Semilinear Elliptic Equations with Critical Exponents and Hardy Potential, Journal of Differential Equations, 205 (2004) 521-537.   

6. Pigong Han, Strongly Indefinite Systems with Critical Sobolev Exponents and Weights,Applied Mathematics Letters, 17 (2004) 909-917.   

7. Pigong Han and Zhaoxia Liu, Multiple Positive Solutions of Strongly Indefinite Systems with Critical Sobolev Exponents and Data That Change Sign, Nonlinear Analysis, 58 (2004) 229-243.   

8. Junning Zhao and Pigong Han, BV Solutions of Dirichlet Problem for a Class of Doubly Nonlinear Degenerate Parabolic Equations. Journal of Partial Differential Equations, 17 (2004) 241--254.   

9. Pigong Han, Quasilinear Elliptic Problems with Critical Exponents and Hardy Terms, Nonlinear Analysis, 61 (2005) 735-758.   

10. Pigong Han, The Dirichlet problem for a class of nonlinear degenerate parabolic equations. Journal of Inequalities and Applications, 9 (2005) 395--402.

11. Pigong Han, High Energy Positive Solutions for a Critical Growth Dirichlet Problem in Noncontractible Domains, Nonlinear Analysis, 60 (2005) 369-387.   

12. Daomin Cao and Pigong Han, High Energy Positive Solutions of Neumann Problems for an Elliptic System of Equations with Critical Nonlinearities, Calculus of Variations and Partial Differential Equations, 25 (2005) 161-185.   

13. Pigong Han, Existence of solutions for semilinear elliptic equations involving critical Sobolev exponents and Hardy terms. Acta Mathematica Scientia, 25 (2005) 533--544.   

14. Pigong Han, Solutions for Singular Critical Growth Schrodinger Equations with Magnetic Field, Portugaliae Mathematica, 63 (2006) 37--45.   

15. Pigong Han, Multiple Positive Solutions of Nonhomogeneous Elliptic Systems Involving Critical Sobolev Exponents, Nonlinear Analysis, 64 (2006) 869-886.   

16. Pigong Han, Multiple Positive Solutions for a Critical Growth Problem with Hardy Potential, Proceedings of the Edinburgh Mathematical Society, 49 (2006) 53-69.   

17. Daomin Cao and Pigong Han, Solutions to Critical Elliptic Equations with Multi-Singular Inverse Square Potentials, Journal of Differential Equations, 224 (2006) 332-372.   

18. Pigong Han, The Effect of the Domain Topology on the Number of Positive Solutions of an Elliptic System Involving Critical Sobolev Exponents, Houston Journal of Mathematics, 32 (2006), no. 4, 1241–1257 .   

19. Pigong Han, Asymptotic Behavior of Solutions to Semilinear Elliptic Equations with Hardy Potential, Proceedings of the American Mathematical Society, 135 (2007), no. 2, 365–372 .   

20. Pigong Han, Multiple Solutions to Singular Critical Elliptic Equations, Israel Journal of Mathematics, 156 (2006), 359–380.   

21. Pigong Han and Zhaoxia Liu, Solutions for a singular critical growth problem with a weight. J. Math. Anal. Appl. 327 (2007), no. 2, 1075–1085.   

22. Pigong Han and Zhaoxia Liu, On a class of critical heat equations with an inverse square potential. Differential Integral Equations 20 (2007), no. 1, 27–50.   

23. Pigong Han and Zhaoxia Liu, Solutions to nonlinear Neumann problems with an inverse square potential. Calc. Var. Partial Differential Equations 30 (2007), no. 3, 315–352.   

24. Pigong Han, Many solutions for elliptic equations with critical exponents. Israel J. Math. 164 (2008), 125–152.   

25. Zhaoxia Liu and Pigong Han, Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure. Appl. Anal. 87 (2008), no. 3, 363–376.   

26. Zhaoxia Liu and Pigong Han, Existence of solutions for singular elliptic systems with critical exponents. Nonlinear Anal. 69 (2008), no. 9, 2968–2983.   

27. Zhaoxia Liu and Pigong Han, Infinitely many solutions for elliptic systems with critical exponents. J. Math. Anal. Appl. 353 (2009), no. 2, 544–552.   

28. Pigong Han, Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. Port. Math. 67 (2010), no. 1, 57–74.   

29. Pigong Han, Regularity of weak solutions to 3D incompressible Navier-Stokes equations. J. Evol. Equ. 10 (2010), no. 1, 195–204.   

30. Pigong Han, Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces. J. Differential Equations 249 (2010), no. 8, 1817–1852.   

31. Daomin Cao and Pigong Han, Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential. J. Math. Phys. 51 (2010), no. 4, 043505, 24 pp.   

32. Pigong Han, Decay results of solutions to the incompressible Navier–Stokes flows in a half space. J. Differential Equations. 250 (2011), no. 10, 3937–3959. 

33. Pigong Han,  Large time behavior for the incompressible  Navier–Stokes flows in 2D exterior domains. Manuscripta Math. 138 (2012) , no, 3, 347–370.

34. Pigong Han, Algebraic L^2 decay for weak solutions of a viscous Boussinesq system in exterior domains. J. Differential Equations. 252 (2012), 6306–6323.

35. Pigong Han, Global well-posedness and scattering for the focusing nonlinear Schrodinger equation in the nonradial case.  Opuscula Math. 32  (2012) 487--504.

36. Pigong Han, Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space. J. Differential Equations. DOI: 10.1016/j.jde.2012.06.007.

发表论文
[1] Wang, Xuewen, Liu, Chenggang, Wang, Yanqing, Han, Pigong. Large time behavior of weak solutions to the surface growth equation. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2023, 64(6): http://dx.doi.org/10.1063/5.0136559.
[2] Han, Pigong, Lei, Keke, Liu, Chenggang, Wang, Xuewen. Attractors for the inhomogeneous incompressible Navier-Stokes flows. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS[J]. 2023, 69: http://dx.doi.org/10.1016/j.nonrwa.2022.103755.
[3] 韩丕功, 雷珂珂, 刘承刚, 王雪雯. Global attractors for a tropical climate model. APPLICATIONS OF MATHEMATICS[J]. 2023, 68(3): 329-356, [4] Wang, Xuewen, Lei, Keke, Liu, Chenggang, Han, Pigong. Existence and time asymptotic profiles of weak solutions to the nonhomogeneous magneto-micropolar equations. MATHEMATICAL METHODS IN THE APPLIED SCIENCES[J]. 2023, http://dx.doi.org/10.1002/mma.9545.
[5] 韩丕功, 雷珂珂, 刘承刚, 王雪雯. The H^1-uniform attractor for the 2D non-autonomous tropical climate model on some unbounded domains. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY[J]. 2022, 59(6): 1439-1470, [6] 韩丕功, 雷珂珂, 刘承刚, 王雪雯. Decay properties for a density-dependent liquid crystal system.. Journal of Mathematical Physics[J]. 2022, 3(9): No. 091504-24 pp, [7] 韩丕功, 雷珂珂, 刘承刚, 王雪雯. Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS[J]. 2022, 19(3): 207-224, http://apps.webofknowledge.com/CitedFullRecord.do?product=UA&colName=WOS&SID=5CCFccWmJJRAuMzNPjj&search_mode=CitedFullRecord&isickref=WOS:000802681300003.
[8] 韩丕功, 刘承刚, 雷珂珂, 王雪雯. Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations. JOURNAL OF MATHEMATICAL FLUID MECHANICS[J]. 2022, 24(1): [9] 韩丕功, 雷珂珂, 刘承刚, 王雪雯. Existence and decay properties of weak solutions to the inhomogeneous Hall-magnetohydrodynamic equations.. Journal of the Korean Society for Industrial and Applied Mathematics[J]. 2022, 26(2): 76-107, [10] 韩丕功, 雷珂珂, 刘承刚, 王雪雯. Decay properties for inhomogeneous heat-conducting magnetohydrodynamic equations. MATHEMATICAL METHODS IN THE APPLIED SCIENCES[J]. 2022, 45(11): 7024-7049, http://dx.doi.org/10.1002/mma.8222.
[11] Han, Pigong. Decay properties for the incompressible Navier-Stokes flows in a half space. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS[J]. 2021, http://dx.doi.org/10.1017/prm.2021.63.
[12] 韩丕功. Pigong Han, Decay properties for the incompressible Navier-Stokes flows in a half space. Proceedings of the Royal Society of Edinburgh. 2021, [13] 韩丕功. Zhaoxia Liu, Pigong Han, Decay for turbulent solutions of the magneto-hydrodynamic equations in an exterior domain. Journal of Mathematical Physics. 61, 091506 (2020). 2020, [14] Liu, Zhaoxia, Han, Pigong. Decay for turbulent solutions of the magneto-hydrodynamic equations in an exterior domain. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2020, 61(9): https://www.webofscience.com/wos/woscc/full-record/WOS:000571945100001.
[15] 韩丕功. 千禧问题之一:不可压缩Navier-Stokes方程. 广州大学学报:自然科学版[J]. 2019, 5-14, http://lib.cqvip.com/Qikan/Article/Detail?id=00002HUF5H387JP167DO3JP1MLR.
[16] Han, Pigong. On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations. JOURNAL OF MATHEMATICAL FLUID MECHANICS[J]. 2018, 20(3): 1155-1172, https://www.webofscience.com/wos/woscc/full-record/WOS:000441287600013.
[17] Han, Pigong. Decay Results of the Nonstationary Navier-Stokes Flows in Half-Spaces. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS[J]. 2018, 230(3): 977-1015, https://www.webofscience.com/wos/woscc/full-record/WOS:000443822500005.
[18] Han, Pigong. Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain. JOURNALOFFUNCTIONALANALYSIS[J]. 2016, 270(3): 1091-1152, http://dx.doi.org/10.1016/j.jfa.2015.11.005.
[19] Han, Pigong. Large time behavior for the nonstationary Navier-Stokes flows in the half-space. ADVANCES IN MATHEMATICS[J]. 2016, 288: 1-58, http://dx.doi.org/10.1016/j.aim.2015.10.010.
[20] Han, Pigong. Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces. JOURNAL OF MATHEMATICAL FLUID MECHANICS[J]. 2015, 17(4): 599-626, https://www.webofscience.com/wos/woscc/full-record/WOS:000363058600001.
[21] Han, Pigong. Decay Results of Higher-Order Norms for the Navier-Stokes Flows in 3D Exterior Domains. COMMUNICATIONS IN MATHEMATICAL PHYSICS[J]. 2015, 334(1): 397-432, http://dx.doi.org/10.1007/s00220-014-2151-5.
[22] Han, Pigong. Weighted spatial decay rates for the Navier-Stokes flows in a half-space. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS[J]. 2014, 144(3): 491-510, https://www.webofscience.com/wos/woscc/full-record/WOS:000338300400003.
[23] 韩丕功. Long-time behavior for the nonstationary Navier-Stokes flows in $L^1$. Journal of Functional Analysis. 2014, [24] Han, Pigong. Long-time behavior for the nonstationary Navier Stokes flows in L-1(R-+(n)). JOURNAL OF FUNCTIONAL ANALYSIS[J]. 2014, 266(3): 1511-1546, https://www.webofscience.com/wos/woscc/full-record/WOS:000330253600012.
[25] Han, Pigong, Schonbek, Maria E. LARGE TIME DECAY PROPERTIES OF SOLUTIONS TO A VISCOUS BOUSSINESQ SYSTEM IN A HALF SPACE. ADVANCES IN DIFFERENTIAL EQUATIONS[J]. 2014, 19(1-2): 87-132, https://www.webofscience.com/wos/woscc/full-record/WOS:000328308700004.
[26] Han, Pigong. Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2012, 253(6): 1744-1778, http://dx.doi.org/10.1016/j.jde.2012.06.007.
[27] Han, Pigong, He, Cheng. Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. MATHEMATICAL METHODS IN THE APPLIED SCIENCES[J]. 2012, 35(11): 1335-1355, https://www.webofscience.com/wos/woscc/full-record/WOS:000305741100008.
[28] Han, Pigong. Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains. JOURNAL OF FUNCTIONAL ANALYSIS[J]. 2012, 263(10): 3235-3269, http://dx.doi.org/10.1016/j.jfa.2012.08.007.
[29] Han, Pigong. Algebraic L-2 decay for weak solutions of a viscous Boussinesq system in exterior domains. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2012, 252(12): 6306-6323, https://www.webofscience.com/wos/woscc/full-record/WOS:000303363000005.
[30] Han, Pigong. GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE FOCUSING NONLINEAR SCHRODINGER EQUATION IN THE NONRADIAL CASE. OPUSCULA MATHEMATICA[J]. 2012, 32(3): 487-504, [31] 韩丕功. Partial regularity of suitable weak solutions to the 4D incompressible magneto-hydrodynamic equations. Mathematical Methods in the Applied Sciences. 2012, [32] Han, Pigong. Large time behavior for the incompressible Navier-Stokes flows in 2D exterior domains. MANUSCRIPTA MATHEMATICA[J]. 2012, 138(3-4): 347-370, https://www.webofscience.com/wos/woscc/full-record/WOS:000304099200005.
[33] Han, Pigong. Interior regularity of weak solutions to the perturbed Navier-Stokes equations. APPLICATIONS OF MATHEMATICS[J]. 2012, 57(5): 427-444, https://www.webofscience.com/wos/woscc/full-record/WOS:000310078900001.
[34] Han, Pigong, He, Cheng. Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. MATHEMATICAL METHODS IN THE APPLIED SCIENCES[J]. 2012, 35(12): 1472-1488, https://www.webofscience.com/wos/woscc/full-record/WOS:000306735400008.
[35] Han, Pigong. Decay results of solutions to the incompressible Navier-Stokes flows in a half space. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2011, 250(10): 3937-3959, http://dx.doi.org/10.1016/j.jde.2010.11.018.
[36] Han, Pigong. Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2010, 249(8): 1817-1852, http://dx.doi.org/10.1016/j.jde.2010.05.021.
[37] Han, Pigong. Regularity of weak solutions to 3D incompressible Navier-Stokes equations. JOURNAL OF EVOLUTION EQUATIONS[J]. 2010, 10(1): 195-204, https://www.webofscience.com/wos/woscc/full-record/WOS:000275421500009.
[38] Han, Pigong. Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. PORTUGALIAE MATHEMATICA[J]. 2010, 67(1): 57-74, https://www.webofscience.com/wos/woscc/full-record/WOS:000297578200003.
[39] 韩丕功. 关于半线性椭圆型方程和方程组的研究(英文). 中国科学院研究生院学报. 2009, 141-143, https://kns.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFQ&dbname=CJFD2009&filename=ZKYB200901021&v=MTUzODV4WVM3RGgxVDNxVHJXTTFGckNVUjdxZmJ1WnNGeXpuVXJ2TlB5YlNiTEc0SHRqTXJvOUhaWVI4ZVgxTHU=.
[40] 韩丕功. 关于半线性椭圆型方程和方程组的研究. 中国科学院研究生院学报[J]. 2009, 26(1): 141-, http://lib.cqvip.com/Qikan/Article/Detail?id=29778037.
[41] Liu, Zhaoxia, Han, Pigong. Infinitely many solutions for elliptic systems with critical exponents. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2009, 353(2): 544-552, http://dx.doi.org/10.1016/j.jmaa.2008.12.024.
[42] Liu, Zhaoxia, Han, Pigong. Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure. APPLICABLE ANALYSIS[J]. 2008, 87(3): 363-376, https://www.webofscience.com/wos/woscc/full-record/WOS:000254132100009.
[43] Liu, Zhaoxia, Han, Pigong. Existence of solutions for singular elliptic systems with critical exponents. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2008, 69(9): 2968-2983, http://dx.doi.org/10.1016/j.na.2007.08.073.
[44] Han, Pigong. Many solutions for elliptic equations with critical exponents. ISRAEL JOURNAL OF MATHEMATICS[J]. 2008, 164(1): 125-152, https://www.webofscience.com/wos/woscc/full-record/WOS:000254774600006.
[45] Liu, Zhaoxia, Han, Pigong. ON A CLASS OF CRITICAL HEAT EQUATIONS WITH AN INVERSE SQUARE POTENTIAL. DIFFERENTIAL AND INTEGRAL EQUATIONS[J]. 2007, 20(1): 27-50, https://www.webofscience.com/wos/woscc/full-record/WOS:000208719100002.
[46] Liu, Zhaoxia, Han, Pigong. Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents (vol 86, pg 67, 2007). APPLICABLE ANALYSISnull. 2007, 86(3): 403-403, https://www.webofscience.com/wos/woscc/full-record/WOS:000248981600007.
[47] Han, Pigong. Asymptotic behavior of solutions to semilinear elliptic equations with hardy potential. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY[J]. 2007, 135(2): 365-372, https://www.webofscience.com/wos/woscc/full-record/WOS:000242238000006.
[48] Han, Pigong, Liu, Zhaoxia. Solutions to nonlinear Neumann problems with an inverse square potential. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS[J]. 2007, 30(3): 315-352, https://www.webofscience.com/wos/woscc/full-record/WOS:000248326100003.
[49] Han, Pigong, Liu, Zhaoxia. Solutions for a singular critical growth problem with a weight. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2007, 327(2): 1075-1085, http://dx.doi.org/10.1016/j.jmaa.2006.04.071.
[50] Liu, Z, Han, P. Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents. APPLICABLE ANALYSIS[J]. 2007, 86(1): 67-82, https://www.webofscience.com/wos/woscc/full-record/WOS:000248959500005.
[51] Han, Pigong. The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents. HOUSTON JOURNAL OF MATHEMATICS[J]. 2006, 32(4): 1241-1257, https://www.webofscience.com/wos/woscc/full-record/WOS:000243843000021.
[52] Han, Pigong. Multiple solutions to singular critical elliptic equations. ISRAEL JOURNAL OF MATHEMATICS[J]. 2006, 156: 359-380, https://www.webofscience.com/wos/woscc/full-record/WOS:000243237900017.
[53] Han, PG. Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2006, 64(4): 869-886, http://dx.doi.org/10.1016/j.na.2005.04.053.
[54] Cao, DM, Han, PG. Solutions to critical elliptic equations with multi-singular inverse square potentials. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2006, 224(2): 332-372, http://dx.doi.org/10.1016/j.jde.2005.07.010.
[55] Pigong Han. Quasilinear elliptic problems with critical exponents and Hardy terms. NONLINEAR ANALYSIS. 2005, 61(5): 735-758, http://dx.doi.org/10.1016/j.na.2005.01.030.
[56] Han, PG. High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2005, 60(2): 369-387, http://dx.doi.org/10.1016/j.na.2004.08.034.
[57] Han, Pigong. The Dirichlet problem for a class of nonlinear degenerate parabolic equations. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2005, https://doaj.org/article/698e80a281a84ee8888c96cc0b14ebbd.
[58] 韩丕功. EXISTENCE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS AND HARDY TERMS. 数学物理学报B辑英文版[J]. 2005, 25(3): 533-544, http://lib.cqvip.com/Qikan/Article/Detail?id=16096418.
[59] Cao, DM, Han, PG. Solutions for semilinear elliptic equations with critical exponents and Hardy potential. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2004, 205(2): 521-537, http://dx.doi.org/10.1016/j.jde.2004.03.005.
[60] Cao, DM, Han, PG. Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2004, 289(1): 200-215, http://dx.doi.org/10.1016/j.jmaa.2003.09.045.
[61] Han, PG, Liu, ZX. Multiple positive solutions of strongly indefinite systems with critical Sobolev exponents and data that change sign. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2004, 58(1-2): 229-243, http://dx.doi.org/10.1016/j.na.2004.02.029.
[62] Han, PG. Strongly indefinite systems with critical Sobolev exponents and weights. APPLIED MATHEMATICS LETTERS[J]. 2004, 17(8): 909-917, http://dx.doi.org/10.1016/j.aml.2003.10.005.
[63] 韩丕功. NEUMANN PROBLEMS OF A CLASS OF ELLIPTIC EQUATIONS WITH DOUBLY CRITICAL SOBOLEV EXPONENTS. 数学物理学报:B辑英文版[J]. 2004, 24(4): 633-638, http://lib.cqvip.com/Qikan/Article/Detail?id=11128651.
[64] Han, Pigong, Liu, Zhaoxia. THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT. DIFFERENTIAL AND INTEGRAL EQUATIONS[J]. 2004, 17(7-8): 835-848, https://www.webofscience.com/wos/woscc/full-record/WOS:000208532800007.
[65] ZhaoJunning HanPigong. BV SOLUTIONS OF DIRICHLET PROBLEM FOR A CLASS OF DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS. 偏微分方程:英文版[J]. 2004, 17(3): 241-254, http://lib.cqvip.com/Qikan/Article/Detail?id=11053100.
[66] Cao, DM, Han, PG. A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents. APPLIED MATHEMATICS LETTERS[J]. 2003, 16(7): 1105-1113, http://dx.doi.org/10.1016/S0893-9659(03)90102-9.
[67] Han, PG, Liu, ZX. Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2003, 55(1-2): 167-186, http://dx.doi.org/10.1016/S0362-546X(03)00223-2.

科研活动

在研项目:不可压缩Navier-Stokes方程中的一些问题;2011.1~~2013.12
科研项目
(1) 不可压缩Navier-Stokes方程中的一些问题,主持,国家级,2011-01--2013-12

指导学生

现指导学生

朱逸  硕士研究生  070104-应用数学  

宋婧  硕士研究生  070104-应用数学