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Article Contents

# Positive solutions for a class of reaction-diffusion systems

• 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.
Mathematics Subject Classification: 35J60, 35J45, 35B45.

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