Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran.
*E-mail: afrouzi@umz.ac.ir
AMS subject classification: 35J60, 35B30, 65N99.
In this work we consider numerical positive solutions of the equation −Δu = λ f (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.
Elliptic boundary value problems, multiple solutions, finite difference method, interpolation formula
