Existence of solutions for a nonhomogeneous semilinear elliptic equation

Autor(es)

Arcoya, David ^[1] ; de Paiva, Francisco Odair ^[2] ; Mendoza, Jose M. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Granada, Dept Math Anal, E-18071 Granada - Spain

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

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 195, JUN 2020.
• Citações Web of Science: 0

Resumo

For a bounded domain Omega, a bounded Caratheodory function g in Omega x R, p > 1 and a nonnegative locally integrable function h in Omega which is strictly positive in a set of positive measure we prove that, contrarily with the case h equivalent to 0, there exists a solution of the semilinear elliptic problem [-Delta u = lambda u + g(x, u) - h vertical bar u vertical bar(p-1)u + f, in Omega u = 0, on partial derivative Omega, for every lambda is an element of R and f is an element of L-2(Omega). (C) 2019 Elsevier Ltd. All rights reserved. (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
• Processo FAPESP: 18/12881-5 - Problemas elípticos localmente coercivos.
• Beneficiário: Jose Miguel Mendoza Aranda
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado