Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-2-2,
author = {Fang Zhang and Feng Wang},
title = {On existence theorems for semilinear equations and applications},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {123-131},
zbl = {1267.34115},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-2-2}
}
Fang Zhang; Feng Wang. On existence theorems for semilinear equations and applications. Annales Polonici Mathematici, Tome 107 (2013) pp. 123-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-2-2/