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Radial solutions of Dirichlet problems with concave-convex nonlinearities

Abstract:

We prove the existence of a double infinite sequence of radial solutions for a Dirichlet concave-convex problem associated with an elliptic equation in a ball. We are interested in relaxing the classical positivity condition on the weights, by allowing the weights to vanish. The idea is to develop a topological method and to use the concept of rotation number. The solutions are characterized by their nodal properties.

This is a joint work with Walter Dambrosio
 
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