ON A RESONANT AND SUPERLINEAR ELLIPTIC SYSTEM

Autor(es)

Ferreira, Fabiana Maria ^[1] ; de Paiva, Francisco Odair ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Espirito Santo, Dept Matemat, BR-29500000 Alegre, ES - Brazil

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 39, n. 10, p. 5775-5784, OCT 2019.
• Citações Web of Science: 0

Resumo

We prove existence of solutions for a class of nonhomogeneous elliptic system with asymmetric nonlinearities that are resonant at -infinity and superlinear at +infinity. The proof is based on topological degree arguments. A priori bounds for the solutions are obtained by adapting the method of Brezis-Turner. (AU)

• Processo FAPESP: 17/16108-6 - Problemas elípticos via métodos variacionais e topológicos
• Beneficiário: Francisco Odair Vieira de Paiva
• Modalidade de apoio: Auxílio à Pesquisa - Regular