韓丕功

韓丕功,1974年2月出生於山東省聊城,中國科學院數學與系統科學研究院 副研究員。

概述

韓丕功,1974年2月出生於山東省聊城,中國科學院數學與系統科學研究院 副研究員。

經歷

2007年 3月被中國科學院數學與系統科學研究院聘為副研究員
2004年 7月被中國科學院數學與系統科學研究院聘為助理研究員
2004年 7月在中國科學院數學與系統科學研究院獲理學博士學位
2001年 7月在廈門大學數學系獲碩士學位

研究方向

目前主要從事非線性偏微分方程和流體力學問題的研究,特別是套用非線性分析,如臨界點理論來研究非線性偏微分方程解的存在性,多解性等;利用Fourier 分析和半群理論研究不可壓縮Navier-Stokes 方程的正則性和大時間行為。
獲得的主要獎勵
2003年榮獲中國科學院數學與系統科學研究院首屆院長特等獎
2005年榮獲中國科學院優秀博士學位論文獎
2006年榮獲全國百篇優秀博士學位論文獎
2010年榮獲中國科學院盧嘉錫青年人才獎

發表論文

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. igong Han, The Dirichlet problem for a class of nonlinear degenerate parabolic equation
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.

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