Hamiltonian systems of elliptic equations and fourth-order elliptic equations
Nonlinear elliptic partial differential equations and systems
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH QUADRATIC GROW...
| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 420, n. 2, p. 1228-1250, DEC 15 2014. |
| Web of Science Citations: | 4 |
| Abstract | |
We consider an elliptic system with linear part depending on two parameters and a sublinear perturbation. We obtain the existence of at least two solutions when the linear part is near resonance. The system is associated with a strongly indefinite functional and the solutions are obtained through saddle point theorem and Galerkin approximation. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 10/06411-4 - variational characterization of the Fucik spectrum and applications |
| Grantee: | Rafael Antônio Rossato |
| Support Opportunities: | Scholarships in Brazil - Doctorate |