@article {0133-0189_2015_special_436,
	title = {Existence of positive solutions of a superlinear boundary value problem with indefinite weight},
	journal = {Conference Publications},
	volume = {2015},
	number = {0133-0189_2015_special_43},
	year = {2015},
	pages = {436},
	abstract = {<p>We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u{\textquoteright}{\textquoteright}+a(x)g(u)=0$. The weight $a(x)$ is allowed to change sign. We assume that the function $g\colon\mathopen[0,+$\infty$\mathclose[\to\mathbb{R}$ is continuous, $g(0)=0$ and satisfies suitable growth conditions, including the superlinear case $g(s)=s^p$, with $p\&gt;1$. In particular we suppose that $g(s)/s$ is large near infinity, but we do not require that $g(s)$ is non-negative in a neighborhood of zero. Using a topological approach based on the Leray-Schauder degree we obtain a result of existence of at least a positive solution that improves previous existence theorems.</p>},
	keywords = {boundary value problem, indefinite weight, Positive solution; existence result., superlinear equation},
	issn = {0133-0189},
	doi = {10.3934/proc.2015.0436},
	url = {http://aimsciences.org//article/id/b3c1c765-e8f5-416e-8130-05cc48478026},
	author = {Guglielmo Feltrin}
}
