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On the number of positive solutions of nonlinear systems. (English) Zbl 1036.34032
This paper is devoted to the existence, multiplicity and nonexistence of positive solutions to boundary value problems on $[0,1]$ for a class of second-order differential systems where the main common operator is the one-dimensional $p$-Laplacian, $p> 1$. The author uses a fixed-point theorem in a cone due to {\it M. A. Krasnoselskij} [Positive solutions of operator equations. Groningen: The Netherlands: P. Noordhoff Ltd. (1964; Zbl 0121.10604)].

34B18Positive solutions of nonlinear boundary value problems for ODE
Full Text: DOI
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[10] Krasnoselskii, M.: Positive solutions of operator equations. (1964)
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[16] Wang, J.: The existence of positive solutions for the one-dimensional p-Laplacian. Proc. amer. Math. soc. 125, 2275-2283 (1997) · Zbl 0884.34032