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EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE PROBLEMS WITH KIRCHHOFF OPERATOR

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Autor(es):
Figueiredo, Giovany M. ; Massa, Eugenio ; Santos, Jefferson A.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: ANNALES FENNICI MATHEMATICI; v. 46, n. 2, p. 12-pg., 2021-01-01.
Resumo

In this work we show a result of existence of positive solution for the following nonlocal problem of Kirchhoff type -M (integral(Omega) vertical bar del u vertical bar(2) dx) Delta u = f(u) - a in Omega, u = 0 on partial derivative Omega, where Omega subset of R-N is a smooth bounded domain, M, f are continuous nonnegative functions and a > 0. By using mainly variational methods, we prove the existence of a solution for a small enough, under two different sets of hypotheses, which generalize the classical superlinear and sublinear problems. (AU)

Processo FAPESP: 19/19699-0 - Problemas de tipo côncavo-convexo, com operadores locais e não locais
Beneficiário:Eugenio Tommaso Massa
Modalidade de apoio: Bolsas no Exterior - Pesquisa