On a generalized Timoshenko-Kirchhoff equation with sublinear nonlinearities

Autor(es)

Santos, Jr., J. R. ^[1] ; Siciliano, G. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Para, Inst Ciencias Exatas & Nat, Fac Matemat, Ave Augusto Correa 01, BR-66075110 Belem, PA - Brazil

^[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, 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

In this paper we consider a generalized fourth order nonlinear Kirchhoff equation in a bounded domain in R-N, N >= 2 under Navier boundary conditions and with sublinear nonlinearity. We employ a change of variable which reduces the problem to a semilinear one. Then variational tools are used in order to prove the existence of a solution. (C) 2019 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 18/17264-4 - Existência de soluções para equações elípticas não-lineares
• Beneficiário: Gaetano Siciliano
• Modalidade de apoio: Auxílio à Pesquisa - Regular