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 present a numerical approach for finding positive solutions of the type −Δu = λf(u) for x ∈ Ω, with Dirichlet boundary condition, where f is a superlinear function of u. We will show in which range of λ, this problem achieves multiple numerical solutions and what is the behavior of the branches of solutions.
Elliptic boundary value problems, multiple solutions, finite difference method
