学术论文

1. C. Li, S.B. Liu, Homology of saddle point reduction and applications to resonant elliptic systems, preprint (2011).

2. S.B. Liu, On suplinear Schrödinger equations with periodic potential, Calc. Var. Partial Differential Equations, (2011) in press.

3. J. Sun, S.B. Liu, Nontrivial solutions of Kirchhoff type problems, Appl. Math. Lett., 25, (2012), 500-504.

4. S.B. Liu, Multiple periodic solutions for nonlinear difference systems involving the $p$-Laplacian, J. Differ. Equ. Appl., 17 (2011), 1591-1598.

5. C.O. Alves, S.B. Liu, On superlinear $p(x)$-Laplacian equations in $\mathsf{R}^N$, Nonlinear Anal., 73 (2010), 2566-2579.

6. S.B. Liu, On the regularity of operators near regular operator, Amer. Math. Monthly, 117 (2010), 927-928.

7. S.B. Liu, On superlinear problems without Ambrosetti and Rabinowitz condition, Nonlinear Anal., 73 (2010), 788-795.

8. S.B. Liu, On ground states of superlinear $p$-Laplacian equations in $\mathsf{R}^N$, J. Math. Anal. Appl., 361 (2010), 48-58.

9. S.B. Liu, E. Medeiros, K. Perera, Multiplicity results for $p$-biharmonic problems via Morse theory, Comm. Anal. Appl., 13 (2009), 447-456.

10. F. Fang, S.B. Liu, Nontrivial solutions of superlinear $p$-Laplacian equations, J. Math. Anal. Appl., 351 (2009), 138-146.

11. S.B. Liu, Nontrivial solutions for elliptic resonant problems, Nonlinear Anal., 70 (2009), 1965-1974.

12. S.B. Liu, Multiple solutions for elliptic resonant problems, Proc. Roy. Soc. Edinburgh, 138 (2008), 1281-1289.

13. F. Fang, N. Wang, S.B. Liu, Multiple periodic solutions for nonlinear difference equations, J. Math. Study, 41 (2008), 234-239.

14. S.B. Liu, Remarks on multiple solutions for elliptic resonant problems, J. Math. Anal. Appl., 336 (2007), 498-505.

15. S.B. Liu, Multiple solutions for coercive $p$-Laplacian equations, J. Math. Anal. Appl., 316 (2006), 229-236.

16. J.Q. Liu, S.B. Liu, The existence of multiple solutions to quasilinear elliptic equations, Bull. London Math. Soc., 37 (2005), 592-600.

17. S.B. Liu, S.J. Li, Existence of solutions for asymptotically `linear' $p$-Laplacian equations, Bull. London Math. Soc., 36 (2004), 81-87.

18. Z.G. Liang, S.B. Liu, Critical groups at infinity for asymptotically quadratic functionals, Acta Anal. Funct. Appl., 5 (2003), 213-216.

19. S.B. Liu, S.J. Li, Critical groups at infinity, saddle point reduction and elliptic resonant problems, Commun. Contemp. Math., 5 (2003), 761-773.

20. S.B. Liu, S.J. Li, Infinitely many solutions for a superlinear elliptic equation, Acta Math. Sinica (Chin. Ser.), 46 (2003), 625-630.

21. S.B. Liu, S.J. Li, An elliptic equation with concave and convex nonlinearities, Nonlinear Anal., 53 (2003), 723-731.

22. Z.T. Zhang, S.J. Li, S.B. Liu, W.J. Feng, On an asymptotically linear elliptic Dirichlet problem, Abstr. Appl. Anal., 7 (2002), 509-516.

23. S.B. Liu, M. Squassina, On the existence of solutions to a fourth-order quasilinear resonant problem, Abstr. Appl. Anal., 7 (2002), 125-133.

24. S.B. Liu, Existence of solutions to a superlinear $p$-Laplacian equation, Electron. J. Differential Equations, 2001, No. 66, 6 pp. (electronic).

25. S.B. Liu, X.L. Fan,Infinite solvability for a class of quasilinear elliptic equations in $\mathsf{R}^N$ with $p$-concave and convex nonlinearities, J. Lanzhou Univ. Nat. Sci., 36 (2000), 10-16.