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. |
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