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个人简介

简介: 余晓辉,男,出生年月: 1982.3 教育经历: 2003.09-2008.07 中国科学院武汉物理与数学研究所 应用数学 理学博士 1999.09-2003.06 武汉大学 国际数理金融试验班 经济学、理学双学士 工作经历: 2008.10-2012.12 深圳大学高级研究中心 讲师 2013.1- 2017.8 深圳大学高级研究中心 副研究员 2017.9- 深圳大学数学与统计学院副教授 获得荣誉: 1、2012年获深圳大学首届“荔园优青”项目资助。 2、2014年获广东省高校优秀青年教师培养计划项目资助。 3、2015年被认定为深圳市高层次人才。 4、2013年获深圳大学学术创新二等奖。 5、2014年获深圳大学学术创新一等奖、二等奖和三等奖各一项。 6、2015年获深圳大学学术创新一等奖一项、二等奖两项、三等奖一项。 7、2016年获深圳大学学术创新一等奖一项。 8、2017年被认定为深圳市南山区领航人才。 教学课程: 2008年至今在深圳大学为本科生讲授如下课程:经济数学,高等数学,微观经济学。为研究生讲授:动态经济学方法,动态优化,经济计量模型,一般均衡理论与福利经济学。

研究领域

非线性椭圆偏微分方程及非线性椭圆偏微分方程组。 金融衍生产品定价理论

主持课题: 1、国家自然科学基金青年基金:分数维拉普拉斯方程中的若干问题,No:11101291,20万,2012年1月——2014年12月。 2、广东省高校优秀青年教师培养计划, No:YQ2014154,23.08万,2016年1月-2018年12月。 3、国家自然科学基金国际合作项目:一些具有非局部项的椭圆方程的研究,NO: 11791240171,2017年5月-12月,1.5万。 4、国家自然科学基金面上项目,Hardy-Littlewood-Sobolev不等式与非局部椭圆方程,No.11771300,2018年1月-2021年12月,48万。 5、国家自然科学基金天元访问学者项目,p-Grushin算子及其方程的研究,No.11726634,2018年1月-2018年12月,10万

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

1. Jianfu Yang and Xiaohui Yu, Existence of an Elliptic System Involving Pucci Operator, Applied Mathematical Letters,21(2008)571-577。 2. Jianfu Yang and Xiaohui Yu, Existence of a Semilinear Elliptic Equation in with Sign-changing Weight, Advanced Nonlinear Studies,8(2008),401-412。 3. Jianfu Yang, Ying Ye and Xiaohui Yu, Existence Results of Strongly indefinite Elliptic Systems, Electronic Journal of Differential Equations,2008, No.81, 1-11。 4. Huijuan Gu, Jianfu Yang and Xiaohui Yu, Multiple Solution for an Elliptic System in Exterior Domain, Electronic Journal of Differential Equations, 2008,No.121, 1-11。 5. Ying Ye and Xiaohui Yu, A Global Compactness Result for a Critical Semilinear Elliptic Equation in , Nonlinear Analysis TMA, 71(2009),1844-1849。 6. Xiaohui Yu, Multiplicity solutions of an elliptic system in exterior domain with rich topology, Journal of Mathematical Analysis and Applications, 363(2010), 718-728. 7. Jianfu Yang and Xiaohui Yu, Existence of a Cooperative Elliptic System Involving Pucci operator, Acta Mathematica Scientia,30B(2010), 137-147. 8. Xiaohui Yu, Existence results for a Schrödinger-Poisson equation, Math. Appl. 23 (2010), 648–652. 9. Xiaohui Yu, Infinitely Many Solutions for Some Nonlinear elliptic Equations in , Mathematical Methods in the Applied Sciences, 34(2011), 1236–1242. 10.Existence of solutions for Schrodinger-Poisson systems with sign-changing weight,J. Part. Diff. Eq., 24 (2011), 180-194. 11. Xiaohui Yu, The Nehari manifold for elliptic equation involving the square root of the Laplacian,Journal of Differential Equations,252(2012), 1283-1308. 12. Xiaohui Yu, Multiplicity solutions for fully nonlinear equation involving nonlinearity with zeros, Communications on Pure and Applied Analysis, 12(2013), 451-459. 13. Xiaohui Yu, Liouville Type Theorems for Integral Equations and Integral Systems, Calc. Var. Partial Differential Equations, 46 (2013), 75–95. 14. Xiaohui Yu, Liouville Type Theorem in the Heisenberg Group with General Nonlinearity,Journal of Differential Equations, 254 (2013), 2173–2182. 15. Yongxia Hua and Xiaohui Yu*, Liouville type theorem and decay estimates for solutions of fully nonlinear elliptic equation, Journal of Mathematical Analysis and Applications, 405(2013), 608-617. 16. Yongxia Hua and Xiaohui Yu*, On the ground state solution for critical fractional Laplacian equation, Nonlinear Analysis TMA , 87(2013), 116-125. 17 Xiaohui Yu, Solutions of the mixed boundary problem and their Morse indices. Nonlinear Anal. 96(2014), 146–153. 18 Xiaohui Yu, Liouville Type Theorem for Nonlinear Elliptic Equation with General Nonlinearity, Discrete and Continuous Dynamical Systems, 34(2014), 4947-4966. 19 赵晓军,王小华,余晓辉,Morse指数与含Grushin算子的Liouville型定理,中国科学。 20 Xiaohui Yu, Liouville theorem for elliptic equations with nonlinear boundary value conditions and finite Morse indices, Journal of Mathematical Analysis and Applications, 521(2015), 436-443. 21. Shusen Yan, Jianfu Yang*, Xiaohui Yu, Equations involving fractional Laplacian operator: compactness and application, J. Funct. Anal. 269 (2015), no. 1, 47–79. 22 Xiaohui Yu, Liouville type theorem for nonlinear elliptic equation involving Grushin operator, Communications in Contemporary Mathematics, 17 (2015), no. 5, 1450050, 12 pp. 23. Xiaohui Yu, Solutions of fractional Laplacian equations and their Morse indices. J. Differential Equations, 260 (2016), no. 1, 860–871. 24. Xiaohui Yu, Liouville type theorems for singular integral equations and integral systems. Commun. Pure Appl. Anal. 15 (2016), no. 5, 1825–1840. 25. 赵晓军,余晓辉*,一类Choquard型方程正解的非存在性结果,中国科学, 47(2017),713-722. 26. Xiaohui Yu, Liouville type theorem for some nonlocal elliptic equations, J. Differential Equations , 263 (2017), 6805–6820. 27. Xiaohui Yu, Liouville type theorems for two mixed boundary value problems with general nonlinearities, J. Math. Anal. Appl. , 462 (2018), 305–322. 28. Jianfu Yang, Xiaohui Yu*, Liouville type theorems for Hartree and Hartree-Fock equations. Nonlinear Anal. 183 (2019), 191–213. 29. Xiaohui Yu,Existence Results for Superlinear Elliptic Equations with Nonlinear Boundary Value Conditions,Acta Mathematica Sinica, English Series,35(2019), 1655–1680.

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