EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH QUADRATIC GROW...
Maximization of natural frequencies and frequency gaps of continuum structures by ...
| Author(s): |
Massa, Eugenio
;
Rossato, Rafael Antonio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 30, n. 3-4, p. 207-230, MAR-APR 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider an elliptic system of Hamiltonian type with linear part depending on two parameters and a sublinear perturbation. We obtain the existence of at least three solutions when the linear part is near resonance with the principal eigenvalue, either from above or from below. For two of these solutions, we also obtain information on the sign of its components. The system is associated to a strongly indefinite functional and the solutions are obtained trough saddle point theorem, after truncating the nonlinearity. (AU) | |
| FAPESP's process: | 10/06411-4 - variational characterization of the Fucik spectrum and applications |
| Grantee: | Rafael Antônio Rossato |
| Support type: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 14/25398-0 - Elliptic equations and systems with several kinds of interaction with the spectrum |
| Grantee: | Eugenio Tommaso Massa |
| Support type: | Regular Research Grants |