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 d
Periodic parabolic problems with concave and convex nonlinearities
✍ Scribed by T. Godoy; U. Kaufmann
- Book ID
- 105766058
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 199 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
We obtain inÿnitely many solutions for the problem where N ¿ 3, 1 ¡ q ¡ p ¡ s. Our result extends those of Tonkes (Topology Methods Nonlinear Anal. 13 (1999) 251) in two aspects: we don't require s 6 p \* , and the requirements on the weight h also be relaxed.
## Abstract We investigate some geometric properties of level sets of the solutions of parabolic problems in convex rings. We introduce the notion of __parabolic quasi‐concavity__, which involves time and space jointly and is a stronger property than the spatial quasi‐concavity, and study the conve