Electronic Journal of Differential Equations,
Vol. 1997(1997), No. 05, pp 1-11.
Title: On Neumann boundary value problems for some quasilinear elliptic
equations
Authors: Paul A. Binding (Univ. of Calgary, Canada)
Pavel Drabek (Univ. of West Bohemia, Czech Republic)
Yin Xi Huang (Univ. of Memphis, USA)
Abstract: We study the role played by the indefinite weight
function $a(x)$ on the existence of positive solutions to the problem
$$\left\{ \eqalign{
-{\rm div}\,(|\nabla u|^{p-2}\nabla u)&=
\lambda a(x)|u|^{p-2}u+b(x)|u|^{\gamma-2}u,
\quad x\in\Omega, \cr x{\partial u \over\partial n}&=0,
\quad x\in\partial\Omega\,,} \right.
$$
where $\Omega$ is a smooth bounded domain in $R^n$, $b$ changes sign,
$1