A Multiplicity Result for a Fractional Kirchhoff Equation with a General Nonlinearity

2020 ◽  
pp. 363-377
Author(s):  
Vincenzo Ambrosio
Keyword(s):  
Kirchhoff Equation ◽  
Multiplicity Result ◽  
Fractional Kirchhoff Equation ◽  
General Nonlinearity

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

2018 ◽  
Vol 20 (05) ◽  
pp. 1750054 ◽  
Author(s):  
Vincenzo Ambrosio ◽  
Teresa Isernia
Keyword(s):  
Kirchhoff Equation ◽  
Multiplicity Result ◽  
Positive Parameter ◽  
Small Positive Parameter ◽  
Fractional Kirchhoff Equation ◽  
General Nonlinearity

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.

Decay of solution for degenerate Kirchhoff equation with general nonlinearity

2020 ◽  
Vol 43 (5) ◽  
pp. 2695-2708 ◽  
Author(s):  
Fágner D. Araruna ◽  
Anderson L. A. Araujo ◽  
Aldo T. Lourêdo
Keyword(s):  
Kirchhoff Equation ◽  
General Nonlinearity
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