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曹林芬 博士

 

 





曹林芬,,博士,教授, 碩士生導(dǎo)師

Email:   [email protected]

  

個(gè)人簡(jiǎn)歷

教育經(jīng)歷:1996.091998.07,, 河南師范大學(xué),本科,;

          1998.092001.07,, 河南師范大學(xué), 碩士,;

          2004.092007.07,, 清華大學(xué), 博士;

工作經(jīng)歷:2001.072004.09,  河南師范大學(xué),,助教,;

          2004.092007.10,  河南師范大學(xué),講師,;

          2007.112014.10,, 河南師范大學(xué),副教授,,。

          2014.11-至今,,    河南師范大學(xué),教授;

訪學(xué)經(jīng)歷:2010.092011.09,, 美國(guó)Yeshiva University,,博士后;

          2017.082018.03,, 美國(guó)University of California, Santa Cruz     (UCSC),,訪問學(xué)者。

  

研究領(lǐng)域

研究領(lǐng)域:微分幾何,,偏微分方程
研究方向:微分幾何和偏微分方程中的非局部問題

  

教學(xué)工作

主講本科生課程:《解析幾何》,、《微分幾何》、《高等數(shù)學(xué)》,、《專業(yè)英語(yǔ)》
主講研究生課程:《微分流形》,、《黎曼幾何》、《移動(dòng)平面法》


 

  

獲獎(jiǎng)和學(xué)術(shù)服務(wù)




1)河南省普通高等學(xué)校數(shù)學(xué)類教指委秘書長(zhǎng)(2021-2025

2)河南省優(yōu)秀碩士學(xué)位論文指導(dǎo)教師(2023年)

3)河南師范大學(xué)優(yōu)秀本科論文指導(dǎo)教師       (2023年)

4)河南師范大學(xué)文明教師(2021-2022年度)

5)河南師范大學(xué)優(yōu)秀教師(2020-2022學(xué)年)

6)河南師范大學(xué)優(yōu)秀指導(dǎo)教師(2021-2022學(xué)年)

7)河南省教學(xué)技能競(jìng)賽一等獎(jiǎng),、省教學(xué)標(biāo)兵(2013年)

8)河南省教育廳優(yōu)秀科技論文一等獎(jiǎng)1項(xiàng)

9)河南省第二屆自然科學(xué)優(yōu)秀學(xué)術(shù)論文一等獎(jiǎng)1項(xiàng)

10)河南省第十屆自然科學(xué)優(yōu)秀學(xué)術(shù)論文一等獎(jiǎng)1項(xiàng),,二等獎(jiǎng)1項(xiàng)

  

科研項(xiàng)目

(1)河南省高等學(xué)校重點(diǎn)科研項(xiàng)目(No. 23A110007, 2023-2024, 主持;

(2)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 11971153, 2020-2023, 參加;

(3)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 11671121, 2017-2020, 參加;

(4)河南省高校科技創(chuàng)新人才支持計(jì)劃(No.15HASTIT012,2015-2017,主持; 

(5)國(guó)家自然科學(xué)聯(lián)合基金(No. U1304101, 2014-2016, 主持; 

(6)河南省基礎(chǔ)與前沿技術(shù)研究計(jì)劃項(xiàng)目(No. 132300410141, 2013-2015 ,主持

(7)國(guó)家自然科學(xué)天元基金,,(No. 10926171, 2010     ,主持; 

(8)河南省教育廳自然科學(xué)基金,,(No. 2011A1100082011-2013,主持
(9)
河南省高等學(xué)校青年骨干教師資助計(jì)劃,,2008-2011 ,主持,。

 

  

論文著作

l   L. Fan, L.   Cao, P. ZhaoHopf's lemma for parabolic equations involving a generalized tempered   fractional p-Laplacian,,arXiv: 2411.00449 (2024).

l   Z. Dai, L.   Cao, X. Kang, Maximal principles and with applications to symmetry for  the logarithmic Schr\{o}dinger, submitted (2024).

l   L. Cao, X. Kang, Z. Dai, Symmetry and monotonicity of   positive solutions for Choquard equation involving logarithmic Laplacian   operator, J. Fixed Point Theory Appl., (2024) 26:36, ,  SCI

l   X. Wang, L.  Cao, Gradient estimates for a nonlinear elliptic equation on a smooth   metric measure space, Commun. Math. , 32 (2024), 1:149–156.

l   L. Fan, L.   Cao, P. Zhao, Symmetry and monotonicity of positive solutions for  Choquard equations involving a generalized tempered     fractional p-Laplacian in R^n, Fract. Calc. Appl.     Anal., 26 (2023), 6: 2757–2773.  SCI

l   L. Cao, L. Fan, Symmetry and monotonicity of positive   solutions for a system involving fractional p&q-Laplacian in a ball,   Complex Var. Elliptic Equ.,  68     (2023), 4: 667–679.  SCI

l   L. Cao, L. Fan, Symmetry and monotonicity of positive   solutions for a system involving fractional p&q-Laplacian in Rn,  Anal. Math. Phys., 12, (2022), 2: No. 42,     15 pp .  SCI

l   L. Cao, X. Wang, Radial symmetry of positive solutions  to a class of fractional Laplacian with a singular nonlinearity, J. Korean     Math. Soc., 58, (2021), 6: 1449–1460 .      SCI

l   L. Cao,X. Wang, Z. Dai, Radial Symmetry and Monotonicity   of Solutions to a System Involving Fractional p-Laplacian in a Ball, Adv.     Math. Phys., 2018, ID: 1565731, 6pp.  SCI

l   Z. Dai, L. Cao, P. Wang, Liouville type theorems for the  system of fractional nonlinear equations in R-+(n),J. Inequal.   Appl., 2016, No. 267, 17 pp.  SCI

l   P. Wang, Z.     Dai, L. Cao, Radial symmetry and   monotonicity for fractional Henon equation in R-n, Complex Var. Elliptic Equ., 2015: 60 , 1685-1695.  SCI

l   L. Cao, Z. Dai, W. Li, Liouville-type  theorem for some nonlinear systems in a half-space, J. Inequal. Appl.,     2014, 173, 9pp.  SCI

l   L. Cao, Z. Dai, Symmetry and nonexistence  of positive solutions for weighted HLS system of integral equations on a   half space, Abstr. Appl. Anal., 2014, ID 593210, 7pp.  SCI

l   Y. Liu, L. Cao, Lifespan theorem and gap  lemma for the globally constranit Willmore flow, Commu. Pure Appl. Anal., 2     (2014), 13: 715-728.  SCI

l   R. Xu, L. Cao, Bernstein properties   for α-complete hypersurfaces, J. Inequal. Appl., 2014, 159, 9pp.   SCI

l    R. Xu,   L. Cao, Complete self-shrinking   solutions for Lagrangian mean curvature flow in pseudo-Euclidean space,   Abstr. Appl. Anal., 2014, ID 196751, 9pp.       SCI 

l   L. Cao, G. Xu, Z. Dai, A new  characterization of totally umbilical hypersurfaces in de Sitterspace, Adv.,   Pure Math., 2014, 4: 42-46. 

l   X.Qi, L. Cao, X. Li, New hyper-Kahler   structures on tangent bundles, Commu. Math., 22 (2014): 13-30. 

l   L. Cao, W. Chen, Liouville type theorems   for poly-harmonic Navier problems, Disc. Cont. Dyna. Syst., 33 (2013), 9:     3937–3955.  SCI

l    L. Cao, Z. Dai, A   Liouville-type theorem for an integral system on a half-space R^n_+,  J. Ineq. Appl., 2013: 37, 9pp.   SCI 

l   L. Cao, Z. Dai, Regularity of solutions to   an integral equation on a half-space R^n_+,  Adv. Pure Math., 3(2013), 153-158. 

l   L. Cao, Z. Dai, A Liouville-type theorem   for an integral equation on a half-space R^n_+ , J. Math. Anal. Appl., 389     (2012), 1365-1373.   SCI

l   G. Huang, X.   Li, L. Cao, Universal bounds on  eigenvalues of the buckling problem on spherical domains, J. Math.,     31(2011), 5: 840-847. 

l   F. Wu, L. Cao, Estimates for eigenvalues   of Laplacian operator with any order. Sci. in China,,Series A, 50(2007), 1078-1086.   SCI

l   L. Cao, H. Li, r-minimal submanifolds in   space forms, Ann. Glob. Anal. Geom., 2007, 32: 311-341.   SCI

l   L. Cao, G. Wei, A new characterization of   hyperbolic cylinder in anti-de Sitter space $H^{n+1}(-1)$, J. Math. Anal.   Appl., 2007, 329: 408-414.  SCI

l    X.Li, L. Cao,,The  Uniqueness and Nonexistance Results for Some Nonlinear Partial Equations on   Riemannian Manifolds,,Chin.Quart.   J. Math.22, 2007, 3:     344-351. 

l   L. Cao, H. Li, Variational Problems in   Geometry of Submanifolds, Proc. 11th Inter. Works. Differ.  Geom., Kyungpook National University, Korea, 2006.11,     41-71. 

l   L. Cao, H. Li, A variational formula in  terms of $r-$th mean curvature function for submanifolds in space form,   Differ. Geom. Methods Appl., Northeastern University,,Shenyang, 2006.9, 1-27. 

l   X. Li, L. Cao,,Some results on instability of Yang-Mills fields on submanifolds in  Euclidean spaces and standard spheres, J. Math. Res. Exposition, 24 (2004),     3: 461–472.