THREE SOLUTIONS FOR AN ELLIPTIC SYSTEM NEAR RESONANCE WITH THE PRINCIPAL EIGENVALUE

Autor(es)

Massa, Eugenio ; Rossato, Rafael Antonio

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 30, n. 3-4, p. 207-230, MAR-APR 2017.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 10/06411-4 - Caracterização variacional do espectro de Fucik e aplicações
• Beneficiário: Rafael Antônio Rossato
• Linha de fomento: Bolsas no Brasil - Doutorado
• Processo FAPESP: 14/25398-0 - Equações e sistemas elípticos com vários tipos de interação com o espectro
• Beneficiário: Eugenio Tommaso Massa
• Linha de fomento: Auxílio à Pesquisa - Regular