Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian

Journal of Mathematical Analysis and Applications

Volumn 277, Issue 2, 2003, Pages 395-404

  Avery, Richard ^a   Henderson, Johnny ^b  

^a DAKOTA STATE UNIVERSITY   (United States)

^b BAYLOR UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037439478     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00308-6     Document Type: Article

References (10)

1. R.P. Agarwal, D. O'Regan, P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer, Boston, 1999.
2. R.I. Avery, Multiple Positive Solutions to Boundary Value Problems, Dissertation, University of Nebraska-Lincoln, 1997.
3. R.I. Avery, A generalization of the Leggett-Williams fixed point theorem, MSR Hot-Line 2 (1998) 9-14.
4. R.I. Avery, J. Henderson, Three symmetric positive solutions for a second order boundary value problem, Appl. Math. Lett. 13 (2000) 1-7.
5. K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, New York, 1985.
6. D. Guo, V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, 1988.
7. X.-M. He, W.-G. Ge, A remark on some three-point boundary value problems for the one-dimensional p-Laplacian, ZAMM, in press.
8. J. Henderson, H.B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proc. Amer. Math. Soc. 128 (2000) 2373-2379.
9. R.W. Leggett, L.R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana Univ. Math. J. 28 (1979) 673-688.
10. E. Zeidler, Nonlinear Functional Analysis and Its Applications I: Fixed-Point Theorems, Springer-Verlag, New York, 1993.