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In this talk will be analyzed the existence, uniqueness and stability of the positive solutions of a very general class of logistic problems with spatial heterogeneities and nonlinear mixed boundary conditions with potentials which may change of sign on the boundary. The results will be obtained in term of the balance of the exponents of the nonlinearities in the PDE and in the boundary conditions, in term of the signs of the potentials on the boundary and in term of the size of the superlinear part of the nonlinearity in the boundary conditions. |
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