We study the existence, multiplicity and nonexistence of positive radial solutions to boundary value problems for the quasilinear equation div (A(|∇u|)∇u) + λh(|x|)f(u) = 0 in annular domains under general assumptions on the function A(u). Various possible behaviors of the quotient f(u)/A(u)u at zero and infinity are considered. We shall use fixed point theorems for operators on a Banach space.
|Original language||English (US)|
|Number of pages||18|
|Journal||Advances in Differential Equations|
|State||Published - Dec 1 2003|
ASJC Scopus subject areas
- Applied Mathematics