Radial solutions of Dirichlet problems with concave-convex nonlinearities |
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Authors: | Francesca Dalbono Walter Dambrosio |
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Institution: | a CMAF Centro de Matemática e Aplicações Fundamentais, Faculdade de Ciências, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugalb Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, Torino, To, Italy |
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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 of Rn. 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. |
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Keywords: | 34B15 |
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