Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects

Abstract

We study the existence of positive solutions to 3X3 bi-variate systems of reaction diffusion equations with Dirichlet boundary conditions. In particular, we consider systems where the reaction terms approach -infinity near the origin and satisfy some combined sublinear conditions at infinity. We use the method of sub-super solutions to establish our results.

Keywords

• Infinite semipositone
• elliptic systems
• combined non-linear effect