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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON A RESONANT AND SUPERLINEAR ELLIPTIC SYSTEM

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Author(s):
Ferreira, Fabiana Maria [1] ; de Paiva, Francisco Odair [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 39, n. 10, p. 5775-5784, OCT 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 17/16108-6 - Elliptic problems by variational and topological methods
Grantee:Francisco Odair Vieira de Paiva
Support Opportunities: Regular Research Grants