学术论文

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

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. 方飞, 王楠, 刘轼波, 非线性差分方程的多重周期解, 数学研究 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. 刘轼波, 李树杰, 一类超``线性"椭圆方程的无穷多解, 数学学报 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. 刘轼波, 范先令, $\mathsf{R}^N$中一类带$p$-凹凸 非线性项的拟线性椭圆方程的无穷可解性, 兰州大学学报(自然科学版) 36 (2000), 10-16.