Existence and uniqueness of solutions for boundary value problems to the singular one-dimension p-laplacian

Boundary Value Problems

Volumn 2008, Issue , 2008, Pages

  Lin, Xiaoning ^a   Sun, Weizhi ^b   Jiang, Daqing ^a  

^a NORTHEAST NORMAL UNIVERSITY   (China)

^b CHANGCHUN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43049144647     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2008/194234     Document Type: Article

References (13)

1. R. P. Agarwal, H. Lü, and D. O'Regan, "Eigenvalues and the one-dimensional p-Laplacian," Journal of Mathematical Analysis and Applications, vol. 266, no. 2, pp. 383-400, 2002.
2. A. K. Ben-Naoum and C. De Coster, "On the existence and multiplicity of positive solutions of the p-Laplacian separated boundary value problem," Differential and Integral Equations, vol. 10, no. 6, pp. 1093-1112, 1997.
3. C. De Coster, "Pairs of positive solutions for the one-dimensional p-Laplacian," Nonlinear Analysis: Theory, Methods & Applications, vol. 23, no. 5, pp. 669-681, 1994.
4. L. Kong and J. Wang, "Multiple positive solutions for the one-dimensional p-Laplacian," Nonlinear Analysis: Theory, Methods & Applications, vol. 42, no. 8, pp. 1327-1333, 2000.
5. D. O'Regan, "Some general existence principles and results for (f(y′)) = qf(t, y, y′), 0 ≤ t ≤ 1," SIAM Journal on Mathematical Analysis, vol. 24, no. 3, pp. 648-668, 1993.
6. J. Wang, "The existence of positive solutions for the one-dimensional p-Laplacian," Proceedings of the American Mathematical Society, vol. 125, no. 8, pp. 2275-2283, 1997.
7. J. Wang, W. Gao, and Z. Lin, "Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem," Tohoku Mathematical Journal, vol. 47, no. 3, pp. 327-344, 1995.
8. D. Jiang and W. Gao, "Upper and lower solution method and a singular boundary value problem for the one-dimensional p-Laplacian," Journal of Mathematical Analysis and Applications, vol. 252, no. 2, pp. 631-648, 2000.
9. D. Jiang, "Upper and lower solutions method and a singular superlinear boundary value problem for the one-dimensional p-Laplacian," Computers & Mathematics with Applications, vol. 42, no. 6-7, pp. 927-940, 2001.
10. D. Jiang, J. Chu, D. O'Regan, and R. P. Agarwal, "Positive solutions for continuous and discrete boundary value problems to the one-dimension p-Laplacian," Mathematical Inequalities & Applications, vol. 7, no. 4, pp. 523-534, 2004.
11. X. Lin, D. Jiang, and X. Li, "Existence and uniqueness of solutions for singular fourth-order boundary value problems," Journal of Computational and Applied Mathematics, vol. 196, no. 1, pp. 155-161, 2006.
12. Z. Zengqin, "Uniqueness of positive solutions for singular nonlinear second-order boundary-value problems," Nonlinear Analysis: Theory, Methods & Applications, vol. 23, no. 6, pp. 755-765, 1994.
13. D. Guo, The Order Methods in Nonlinear Analysis, Shandong Technical and Science Press, Jinan, China, 2000.