✦ LIBER ✦

Radial solutions of Dirichlet problems with concave–convex nonlinearities

✍ Scribed by Francesca Dalbono; Walter Dambrosio

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 385 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.12.026

No coin nor oath required. For personal study only.

✦ Synopsis

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 R n . 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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