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In this work we consider numerical positive solutions of the equation −Δu = λf (u) with Dirichlet boundary condition in a bounded domain Ω, where λ > 0 and f (u) is a superlinear function of u. We study the behavior of the branches of numerical positive solutions for varying λ. Mathematics Subject Classification: 35J60, 35B30, 65N99doi:10.12988/imf.2006.06123 fatcat:vave57rnxjfb7mctym4uu6dnha