Existence and multiplicity of periodic solutions to one-dimensional $p$-Laplacian

Existence and multiplicity of periodic solutions to one-dimensional $p$-Laplacian

This paper deals with the existence and multiplicity of periodic solutions for the one-dimensional $p$-Laplacian. The minimization argument and extended Clark’s theorem are applied to prove our results. The corresponding impulsive problem is considered as well.

Bibliographic Details
Main Authors: Pavel Drábek, Martina Langerova, Stepan Tersian
Format: Article
Language:English
Published: University of Szeged 2016-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
periodic solution
$p$-laplacian
minimization theorem
clark’s theorem
weak solution
impulsive problem
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4855

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4855

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