Name:Zhihui Chen
Email:mazhchen@scut.edu.cn
Research Field (Research Interest):Elliptic Partial Differential Equations
Main Achievement:
1. Yaotian Shen, Zihui Chen, Some Improved Caffarelli-Kohn-Nirenberg Inequalities with General Weights and Optimal Remainders, Pure and Applied Mathematics Quarterly, 6(4): 1123-1143, 2010. (SCI)
2. Yaotian Shen, Zihui Chen, Sharp Hardy-Sobolev inequalities with general weights and remainder terms, Journal of Inequalities and Applications, 2009. (SCI)
3. Zhihui Chen, Yaotian Shen, A class of Rellich’s inequality with weight, ActaMathematicaeApplicataeSinica, 32(2), 2009.(in Chinese)
4. Zhihui Chen, Yaotian Shen, Hardy-Sobolev inequalities with general weights and remainder terms, Acta Mathematica Scientia, 28B(3): 1-11, 2008. (SCIE)
5. Yaotian Shen, Zihui Chen, Nonlinear degenerate elliptic equation with Hardy potential and critical parameter, Nonlinear Anal., 69(4): 1462-1477, 2008. (SCI)
6. Zhihui Chen, Yaotian Shen, Existence of solutions to quasilinear elliptic PDEs with distance weight, Acta Mathematica Sinica, 51(3): 469-474, 2008. (in Chinese)
7. Zhihui Chen, Yaotian Shen, General Hardy’s inequalities for functions nonzero on the boundary, Front. Math. China, 2(2), 169-181, 2007.
8. Yaotian Shen, Zihui Chen, Sobolev-Hardy space with general weight, J. Math. Anal. Appl., 320(2): 675-690, 2006. (SCI)
9. Yaotian Shen, Zihui Chen, General Hardy inequalities with optimal constants and remainder terms, J. Inequal. Appl., (3): 207-219, 2005. (SCI)
10. Zhihui Chen, Yaotian Shen, Nonlinear biharmonic equations with weight in R^4, 数学年刊, 26A(4): 487-494, 2005.(in Chinese)