Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation

Autor(es)

Arcoya, David ^[1] ; de Paiva, Francisco Odair ^[2] ; Mendoza, Jose M. ^[3]

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, SP - Brazil

^[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 480, n. 2 DEC 15 2019.
• Citações Web of Science: 0

Resumo

For a bounded domain Omega in R-N, a bounded Caratheodory function g in Omega x R, and a nonnegative and nonzero locally integrable measurable function h in Omega, we give sufficient conditions on the C-1-function M : {[}0, infinity) -> R for the existence of a solution of the nonlocal elliptic problem [ -(1 + gamma M' (integral(Omega )vertical bar del u vertical bar(2)))Delta u = lambda u +g(x,u) - h(x)vertical bar u vertical bar(p-1)u+f(x), x is an element of Omega u(x) = 0, x is an element of partial derivative Omega for every p > 1, gamma > 0, lambda is an element of R and f is an element of L-2 (Omega). (C) 2019 Elsevier Inc. 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