aDepartment of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar 47416-1467, Iran
Abstract:
In this work we present a numerical approach for finding positive solutions of the type ?Δu = λf(u) for xΩ, 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.