On a generalized Timoshenko-Kirchhoff equation with sublinear nonlinearities

[摘要] 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.

[发布日期] 2019-12-15

[关键词] Timoshenko-Kirchhoff type equation;Sublinear nonlinearity;Topological and variational methods