| Citation: | Cheng Chang-jun, Yang Xiao. The Existence of Buckled States on a Perforated Thin Plate[J]. Applied Mathematics and Mechanics, 1992, 13(8): 699-709. | 
 
	                | [1] | 朱正佑、程昌钧,关于开孔薄板大挠度问题的一般数学理论,力学学报,18(2) (1986),123-135. | 
| [2] | 程昌钧、吕小安,关于开孔薄板大挠度问题的一般数学理论(续),力学学报,21(2) (1989),193-203 | 
| [3] | Berger, M., On yon Kármán equation and the buckling of a thin elastic plate Ⅰ: The clamped plate, Comm. Pure Appl. Math., 20, 4 (1967), 687-719. | 
| [4] | Berger, M. and P. File, On von kármán equation and the buckling of a thin elastic plate Ⅱ, Comm. Pure Appl. Math., 21, 3 (1968), 227-241. | 
| [5] | Adams, R. A., Sobolev Spaces, Academic Press, New York (1975). | 
| [6] | Rektorys, Karel, Variational Methods in Mathematics, Science and Engineering, D. Reidel Publishing Company(1975). | 
| [7] | 钱伟长,《广义变分原理》,科学出版社(1985), | 
| [8] | Berger, M., An eigenvalue problem for non-linear elliptic partial differential equation, Trans. A. M. S., 120(1965), 154-184. | 
| [9] | Agnon, S., The Lp approach to the Dirichiet problem, Ann. Scuola di Pisa, 13(1959), 504-448. | 
| [10] | Dunford, Nelson and Jacob T., Schwartz, Linear Operators, Part Ⅰ: Generai Theory, INC., New York (1958). | 
| [11] | 朱正佑、程昌钧,《分支问题的数值计算方法》,兰州大学出版社(1989). | 
| [12] | Chow, Shui-nee and Jack K. Hale, Methods of Bifurcation Theory, Springer-Verlag, New York, Berlin, Heidelberg (1982). | 
