| Author(s): |
Iturriaga, Leonelo
;
Lorca, Sebastian
;
Massa, Eugenio
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 30, n. 1-2, p. 145-159, JAN-FEB 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper, we consider the quasilinear elliptic equation -Delta(m)u = lambda f(u), in a bounded, smooth and convex domain. When the nonnegative nonlinearity f has multiple positive zeros, we prove the existence of at least two positive solutions for each of these zeros, for lambda large, without any hypothesis on the behavior at infinity of f. We also prove a result concerning the behavior of the solutions as lambda -> infinity. (AU) | |
| FAPESP's process: | 14/25398-0 - Elliptic equations and systems with several kinds of interaction with the spectrum |
| Grantee: | Eugenio Tommaso Massa |
| Support Opportunities: | Regular Research Grants |