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

By Vincenzo Ambrosio, Teresa Isernia. Communications in Contemporary Mathematics, 2016

61 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/1dd00ca8d9ab19dd5bb06b55b9d72e1800528a02