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arXiv · 1705.03334

On a generalized timoshenko-kirchhoff equation

João R. Santos Júnior·Gaetano Siciliano
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Abstract

In this paper we consider a generalized fourth order nonlinear Kirchhoff equation in a bounded domain in $\mathbb R^{N}, N\geq2$ 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.

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João R. Santos Júnior, Gaetano Siciliano. 2017-05-09. On a generalized timoshenko-kirchhoff equation. https://arxiv.org/abs/1705.03334

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