We study the existence of positive solutions to classes of n x n systems of reaction diffusion equations with Dirichlet boundary condtions. In particular, we consider systems where the reaction terms approach -∞ near the origin and satisfy a combined sublinear condition at ∞. We use the method of sub-super solutions to establish our results.
展开▼
机译：我们研究了具有Dirichlet边界条件的n x n反应扩散方程组的正解的存在性。特别是，我们考虑反应项在原点附近趋近-∞并在∞满足组合亚线性条件的系统。我们使用子超解的方法来建立我们的结果。
展开▼
