Positive solutions of nonlinear systems with p-Laplacian on finite and semi-infinite intervals


Existence and localization results are established for systems of second-order dikfferential equations with p-Laplacian on finite and semi-infinite intervals. For a compact interval, the compression and expansion conditions that are used related to the first eigenvalue of the p-Laplacian.


Donal O’Regan
Department of Mathematics National University of Ireland Galway, Ireland

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


p-Laplacian; positive solution; boundary value problem; fixed point; cone; eigenvalue; eigenfunction.

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D. O’Regan, R. Precup, Positive solutions of nonlinear systems with p-Laplacian on finite and semi-infinite intervals,  Positivity, 11 (2007) no. 3, 537-548, https://doi.org/10.1007/S11117-007-2099-1


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Birkhauser Verlag Basel/Switzerland

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