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Positive solutions for some boundary value problems via a new fixed point theorem

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Abstract

In this paper, we establish some new fixed point theorems of mixed monotone operator with a perturbation. Moreover, we prove the existence and the uniqueness of positive solutions of a second order Neumann boundary value problem, a second order Sturm Liouville boudary value problem and a nonlinear elliptic boundary value problem for the Lane–Emden–Fowler equation.

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  1. Ecole supérieure des sciences et de technologie de Hammam Sousse, Rue Lamine Elabbassi, 4011, Sousse, Tunisia

    Sana Hadj Amor

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  1. Sana Hadj Amor
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Hadj Amor, S. Positive solutions for some boundary value problems via a new fixed point theorem. Positivity 19, 587–602 (2015). https://doi.org/10.1007/s11117-014-0317-1

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  • DOI: https://doi.org/10.1007/s11117-014-0317-1

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