English

On a generalized timoshenko-kirchhoff equation

Analysis of PDEs 2017-05-10 v1

Abstract

In this paper we consider a generalized fourth order nonlinear Kirchhoff equation in a bounded domain in RN,N2\mathbb R^{N}, N\geq2 under Navier boundary conditions and with sublinear nonlinearity. We employ a change of variable which reduces the problem to a semilinear one. Then variational and topological tools are used in order to prove the existence of a solution.

Keywords

Cite

@article{arxiv.1705.03334,
  title  = {On a generalized timoshenko-kirchhoff equation},
  author = {João R. Santos Júnior and Gaetano Siciliano},
  journal= {arXiv preprint arXiv:1705.03334},
  year   = {2017}
}

Comments

16 pages

R2 v1 2026-06-22T19:41:43.669Z