A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity-Reference-Cited by-同舟云学术

A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity

Published:2018-07-26 Issue:05 Volume:20 Page:1750054
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Ambrosio Vincenzo¹,Isernia Teresa²

Affiliation:

1. Dipartimento di Scienze Pure e Applicate (DiSPeA), Università Degli Studi di Urbino ‘Carlo Bo’, Piazza Della Repubblica, 13, 61029 Urbino, Pesaro e Urbino, Italy

2. Dipartimento di Matematica e Applicazioni ‘Renato Caccioppoli’, Università Degli Studi di Napoli ‘Federico II’, Via Cintia 1, 80126 Napoli, Italy

Abstract

In this paper, we deal with the following fractional Kirchhoff equation [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is a small positive parameter and [Formula: see text] is an odd function satisfying Berestycki–Lions type assumptions. By using minimax arguments, we establish a multiplicity result for the above equation, provided that [Formula: see text] is sufficiently small.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500547

Reference33 articles.

1. Positive solutions for a quasilinear elliptic equation of Kirchhoff type

2. Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

3. Kirchhoff systems with nonlinear source and boundary damping terms

4. Elliptic problems involving the fractional Laplacian inRN

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