Positive solutions for a class of reaction-diffusion systems
Anna Dall’Acqua · Communications on Pure & Applied Analysis · 2003
In this paper we will derive existence of positive solutions for a system of two coupled superlinear elliptic equations with Dirichlet boundary condition. We will use a topological method; in fact the class of systems that we will study does not allow a variational approach. After establishing an a priori estimate for the solutions, we will obtain existence by a continuation method.