$Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods$

Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods

In this paper, we apply critical point theory and variational methods to study the multiple solutions of boundary value problems for an impulsive fractional differential equation with p-Laplacian. Some new criteria guaranteeing the existence of multiple solutions are established for the considered p...

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Veröffentlicht in:	Boundary value problems 2017-08, Vol.2017 (1), p.1-15, Article 123
Hauptverfasser:	Zhao, Yulin, Tang, Liang
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Boundary value problems Critical point Difference and Functional Equations Differential equations fractional p-Laplacian impulsive effects Mathematics Mathematics and Statistics multiple solutions Ordinary Differential Equations Partial Differential Equations Variational methods
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Zusammenfassung:	In this paper, we apply critical point theory and variational methods to study the multiple solutions of boundary value problems for an impulsive fractional differential equation with p-Laplacian. Some new criteria guaranteeing the existence of multiple solutions are established for the considered problem.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-017-0855-0