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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On a generalized Timoshenko-Kirchhoff equation with sublinear nonlinearities

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Author(s):
Santos, Jr., J. R. [1] ; Siciliano, G. [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 480, n. 2 DEC 15 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 18/17264-4 - Existence of solutions for nonlinear elliptic equations
Grantee:Gaetano Siciliano
Support Opportunities: Regular Research Grants