Classes of infinite semipositone $n \times n$ systems
Eun Kyoung Lee, R. Shivaji, Jinglong Ye · Differential and Integral Equations · 2011
We study the existence of positive solutions to classes of $n\times n$ systems of reaction diffusion equations with Dirichlet boundary conditions. In particular, we consider systems where the reaction terms approach $-\infty$ near the origin and satisfy a combined sublinear condition at $\infty .$ We use the method of sub-super solutions to establish our results.