Abstract
In this paper we establish the multiplicity of positive solutions to second-order superlinear repulsive singular Neumann boundary value problems. It is proved that such a problem has at least two positive solutions under reasonable conditions. Our nonlinearity may be repulsive singular in its dependent variable and superlinear at infinity. The proof relies on a nonlinear alternative of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones.
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Chu, J., Lin, X., Jiang, D. et al. Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems. Positivity 12, 555–569 (2008). https://doi.org/10.1007/s11117-007-2144-0
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DOI: https://doi.org/10.1007/s11117-007-2144-0