Abstract
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) |
|---|---|
| Pages (from-to) | 111-128 |
| Number of pages | 18 |
| Journal | Advances in Differential Equations |
| Volume | 8 |
| Issue number | 1 |
| State | Published - Dec 1 2003 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics