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arXiv.org e-Print Archive
Preprint . 2017
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2017
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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On a generalized timoshenko-kirchhoff equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2017 Italy
Authors: Santos Júnior, João R.; Siciliano, Gaetano;

doi: 10.48550/arxiv.1705.03334

arXiv: 1705.03334

handle: 11586/473784

On a generalized timoshenko-kirchhoff equation

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.

16 pages

Country
Italy
Related Organizations
Keywords

35J30, 35J50, 35J57, Mathematics - Analysis of PDEs, FOS: Mathematics, sublinear nonlinearity, Timoshenko-Kirchhoff equations, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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