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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.)

STUDY OF A LOGISTIC EQUATION WITH LOCAL AND NON-LOCAL REACTION TERMS

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Author(s):
Delgado, Manuel [1] ; Figueiredo, Giovany M. [2] ; Pimenta, Marcos T. O. [3] ; Suarez, Antonio [1]
Total Authors: 4
Affiliation:
[1] Univ Seville, Fac Matemat, Dpto Ecuac Diferenciales & Anal Numer, C Tarfia S-N, E-41012 Seville - Spain
[2] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para - Brazil
[3] UNESP, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 47, n. 2, p. 693-713, JUN 2016.
Web of Science Citations: 1
Abstract

We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for the steady-state equation and sub-supersolution method for the long time behavior for the time dependent problem. The results depend strongly on the size and sign of the parameters on the local and non-local terms. (AU)

FAPESP's process: 14/16136-1 - Study of semiclassical solutions to the stationary nonlinear Dirac equation
Grantee:Marcos Tadeu de Oliveira Pimenta
Support Opportunities: Regular Research Grants
FAPESP's process: 12/20160-0 - Existence, non-existence and concentration of solutions to some biharmonic problems and systems
Grantee:Marcos Tadeu de Oliveira Pimenta
Support Opportunities: Regular Research Grants