Differential and Integral Equations
- Differential Integral Equations
- Volume 30, Number 3/4 (2017), 207-230.
Three solutions for an elliptic system near resonance with the principal eigenvalue
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.
Differential Integral Equations, Volume 30, Number 3/4 (2017), 207-230.
First available in Project Euclid: 18 February 2017
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J57, 49J35
Massa, Eugenio; Rossato, Rafael Antônio. Three solutions for an elliptic system near resonance with the principal eigenvalue. Differential Integral Equations 30 (2017), no. 3/4, 207--230. https://projecteuclid.org/euclid.die/1487386823