Publications

1. C.O. Alves, S.B. Liu, On superlinear $p(x)$-Laplacian equations in $\mathsf{R}^N$, 2010, preprint.

2. S.B. Liu, On the regularity of operators near regular operator, Amer. Math. Monthly, in press.

3. S.B. Liu, Multiple periodic solutions for nonlinear difference systems involving the $p$-Laplacian, J. Differ. Equ. Appl., in press.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

19. 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.

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

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

22. 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 (Chinese), J. Lanzhou Univ. Nat. Sci. 36 (2000), 10-16.