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Yu Xiaohui

  • Educational level:

  • Professional titles: Professor

  • Telephone:26538433

  • Email:xiaohui.yu@szu.edu.cn

  • Address:Room 440,Huixing Building

Educational level Professional titles Professor
Professional titles 26538433 Email xiaohui.yu@szu.edu.cn
Address Room 440,Huixing Building Personal Profile
Educational experience Work experience
Research Field Nonlinear elliptic partial differential equations Honors obtained
Academic Programs Scientific research 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. Xiaohui Yu, 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.Xiaojun Zhao, Xiaohua Wang, Xiaohui Yu, Morse exponents and Liouville-type theorems with Grushin operators, Science in China.
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. Xiaojun Zhao, Xiaohui Yu*, Nonexistential results of positive solutions of a class of Choquard-type equations, Science in China, 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.
30.Jinggang Tan and Xiaohui Yu， Liouville type theorems for nonlinear elliptic equations on extended Grushin manifolds, Journal of Differential Equations, 269(2020), 523-541.
31.Jianfu Yang and Xiaohui Yu, Fractional Hardy-Sobolev elliptic problems, Topological Methods in Nonlinear Analysis, 55(2020),257-280.
32. Xiaohui Yu，Classification of solutions for some elliptic system, Calc. Var. Partial Differential Equations,  61 (2022),  Paper No. 151, 37 pp.
33. Fanqin Liu, Fanqin, Jianfu Yang, Xiaohui Yu, Positive solutions to multi-critical elliptic problems. Ann. Mat. Pura Appl. (4) 202 (2023), 851–875.

Personal Profile

Yu Xiaohui is a phd University of Chinese Academy of Sciences in Economics and science from Wuhan University. He is currently a professor at the School of Shenzhen University Mathematics and statistics. His main research area is nonlinear partial Differential equation. He has published more than 30 papers in famous academic journals such as Calculus of Variations and PDE, Journal of Functional Analysis, Journal of Differential Equations, etc. .

Educational experience

Work experience

Research Field

  • Nonlinear elliptic partial differential equations

Honors obtained

Academic Programs

Scientific research

  • 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. Xiaohui Yu, 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.Xiaojun Zhao, Xiaohua Wang, Xiaohui Yu, Morse exponents and Liouville-type theorems with Grushin operators, Science in China. 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. Xiaojun Zhao, Xiaohui Yu*, Nonexistential results of positive solutions of a class of Choquard-type equations, Science in China, 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. 30.Jinggang Tan and Xiaohui Yu， Liouville type theorems for nonlinear elliptic equations on extended Grushin manifolds, Journal of Differential Equations, 269(2020), 523-541. 31.Jianfu Yang and Xiaohui Yu, Fractional Hardy-Sobolev elliptic problems, Topological Methods in Nonlinear Analysis, 55(2020),257-280. 32. Xiaohui Yu，Classification of solutions for some elliptic system, Calc. Var. Partial Differential Equations, 61 (2022), Paper No. 151, 37 pp. 33. Fanqin Liu, Fanqin, Jianfu Yang, Xiaohui Yu, Positive solutions to multi-critical elliptic problems. Ann. Mat. Pura Appl. (4) 202 (2023), 851–875.

Copyright School of Mathematical Sciences，Shenzhen University

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