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Zbl 1028.34022
Avery, Richard; Henderson, Johnny
Existence of three positive pseudo-symmetric solutions for a one dimensional $p$-Laplacian.
(English)
[J] J. Math. Anal. Appl. 277, No.2, 395-404 (2003). ISSN 0022-247X

The five functionals fixed-point theorem due to {\it R. I. Avery} [Math. Sci. Res. Hot-Line 3, 9-14 (1999; Zbl 0965.47038)] is applied to obtain the existence of three positive pseudo-symmetric solutions to the three-point boundary value problem for a one-dimensional $p$-Laplacian $$(|u'|^{p-2}u')' + a(t)f(u) = 0, \quad u(0)=0,\ u(\theta) = u(1),$$ with $\theta \in (0,1)$.
[M.Frigon (Montréal)]
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems

Keywords: p-Laplacian; boundary value problems

Citations: Zbl 0965.47038

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