Special Session 17: 

High multiplicity of positive solutions for superlinear indefinite problems with Neumann boundary conditions

Andrea Tellini
Universidad Autonoma de Madrid
Spain
Co-Author(s):    
Abstract:
I will present a result of high multiplicity of positive solutions for a class of superlinear indefinite problems in one spatial dimension, with Neumann boundary conditions. Such problems consist of a modified version of the stationary diffusive logistic equation, in which the indefinite nature comes from a sign-changing weight in front of the nonlinearity. I will also present the structure of the corresponding bifurcation diagrams, using the size of the region where the weight is positive as a main bifurcation parameter.