We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am32-3-4,
author = {Jifeng Chu and Daqing Jiang and Donal O'Regan and R. P. Agarwal},
title = {Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions},
journal = {Applicationes Mathematicae},
volume = {32},
year = {2005},
pages = {293-303},
zbl = {1100.34017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-3-4}
}
Jifeng Chu; Daqing Jiang; Donal O'Regan; R. P. Agarwal. Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions. Applicationes Mathematicae, Tome 32 (2005) pp. 293-303. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-3-4/