Existence of a positive solution and numerical solution for some elliptic superlinear problem

Autor(es)

Cecilio, D. L. ^[1] ; Cuevas, C. ^[2] ; Mesquita, J. G. ^[3] ; Ubilla, P. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Engn Estruturas, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Fed Pernambuco, Dept Matemat, Av Jornalista Anibal Fernandes SN, BR-50740560 Recife, PE - Brazil

^[3] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil

^[4] Univ Santiago Chile, Fac Ciencia, Dept Matemat & Ciencia Computac, Casilla 307, Correo 2, Santiago - Chile

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 266, n. 2-3, p. 1338-1356, JAN 15 2019.
• Citações Web of Science: 0

Resumo

In this paper, we prove the existence of positive solutions of an elliptic superlinear problem. Also, we are interested here in getting results concerning the existence of positive solutions for the discrete formulation of our problem. Therefore, in order to do it, we employ the radial solutions of the elliptic superlinear problem, obtaining a second-order dynamic equation on time scales, which encompasses discrete, continuous and hybrid formulations of our problem. This unified equation allows us to present numerical simulations, which give us a more precise analysis and description concerning the behavior of the solution according to the parameters. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 13/17104-3 - Equações dinâmicas funcionais impulsivas em escalas temporais e aplicações
• Beneficiário: Jaqueline Godoy Mesquita
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores