Prof. Yuxia Guo

Department of Mathematical Sciences

Tsinghua University, China

Professor

Email: yguo@math.tsinghua.edu.cn

Qualifications

Ph.D., Peking University, China

M.S., Shanxi University, China

B.S., Shanxi University, China

Publications (Selected)

1. Guo Yuxia, Nonexistence, monotonicity for positive solutions of semilinear elliptic system in R^N_+, Commun. Contemp. Math., 12(2010), 351-372.
2. Guo Yuxia, Chen Guangzhong, A note on the existence of positive solutions for a fourth oeder semilinear elliptic system, Acta. Math. Sin. 26(2010), 1263-1276
3. Liu Xiangqing, Liu Jiaquan, Yuxia Guo, On an asymptotically p-Linear pLaplacian equation in R^N, Nonlinear Analysis, 74(2010), 676-688.
4. Guo Yuxai, Wei Juncheng, Supercritical biharmonic elliptic problems in domains with amll holes, 282(2009), 1-16.
5. Guo Yuxia, Liu Jiaquan, Bifurcation for strongly indefinite functional and applications to Hamiltonian system and non-cooperative elliptic system, J. Math. Anal. Appl. Vol 389 (2009), 28-28
6. Liu Xiangqing, Guo Yuxia, Solutions for singular P-Laplacian equations in R^N, Jrl Syst Sci & Complexity, 22(2009), 507-613.
7. Guo Yuxai, Wei Juncheng, Nonexistence of positive finite Morse index solutions to an elliptic problem with singular nonlinearity. Methods Appl. Anal. 15 (2008), no. 3, 391-403.
8. Yuxia Guo, Jiaquan Liu, Liouville Type theorems for polyharmonic equations in $R^N$ and in $R^N_+.$ Proeeding of Roal Social Endinburg A, 138, Part 2, 2008 , 339-359.
9. Yuxia Guo, Jiaquan Liu, Liouville Type theorems for positive solutions of elliptic system in R^N, Communication in PDE, 33(2),(2008), 263-284.
10. Yuxia Guo, Jiaquan Liu, Periodic solutions for an asymptotically linear wave equation with resonance, Nonlinear Analysis, 67(2007), 2727-2743.
11. Yuxia Guo, Jiaquan Liu, Computations of critical groups and applications in nonlinear differential equations with resonance, Advance in Nonlinear Studies, 2(2007), 459-474.
12. Yuxia Guo, Jiaquan Liu, Yajing Zhang, Nonexistence of Positive Solutions for polyharmonic systems in R^N, Advance in Nonlinear Studies, 7(2007), 389-402.
13. Jiaquan Liu, Yuxia Guo, Critical point theory for nonsmooth functionals, Nonlinear Analysis, 66 (2007), 2731-2741.
14. Jiaquan Liu, Yuxia Guo, Yajing Zhang, Existence of positive entire solutions for polyharmonic equations and systems, J. Partial Differential Equations, 19 (2006), 256-270.
15. Jiaquan Liu, Yuxia Guo, Yajing Zhang, Liouville Type Results for Polyharmonic Systems in $R^N$, Journal of Diff. Equa., 225(2006), 685-709.
16. Yuxia Guo, Pengfei Yao, The stabilization of plate equation with nonlinear boundary control and variable coefficients, J. Math. Appl. Anal., 317(2006), 50-70
17. Yuxia Guo, Jiaquan Liu, Pingan Zeng, Relationship of Morse indices and $L^\infty$ bound for solutions of strongly indefinite superlinear differential systems, Discrete Continuous Dynamical Systems, Vol. 16, No. 1 (2006), 107-119.
18. Yuia Guo, Jiaquan Liu, Blow-up analysis for solution of the Laplacian equation with exponential Neumann boundary condition in dimentional two, Comm. Con. Math., 8 (2006), 737-761.
19. T. Bartsch, Yuxia Guo, Existence and nonexistence of the solution for harmonical systems with critical exponents, Journal of Diff. Equa., 220(2006), 531-543
20. Yuxia Guo, Jiaquan Liu, Nontrivial solution of P- suberlinear P-Laplacian equations via Morse theory, J. London Math. Soc., (2)72(2005) 632-644.

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