We study the existence of multiple positive stable solutions for -ε2Δu(x) = u(x)2(b(x) - u(x)) in Ω, ∂u/∂n(x) = 0 on ∂Ω. Here ε > 0 is a small parameter and b(x) is a piecewise continuous function which changes sign. These type of equations appear in a population growth model of species with a saturation effect in biology.
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics