Special Session 60: 

Existence of infinitely many solutions for equation with fractional Laplacian in the zero mass case

Norihisa Ikoma
Kanazawa University
Japan
Co-Author(s):    Norihisa Ikoma
Abstract:
This talk is concerned with the existence of infinitely many solutions of equation with fractional Laplacian in the zero mass case. The equation we consider here is a fractional counterpart of the classical scalar field equation studied by Berestycki--Lions (`83) and Struwe (`82), and we generalize the recent result by Ambrosio (`18). The proof is based on a symmetric mountain pass type argument which is slightly different from that of Ambrosio and gives another proof to the results by Berestycki--Lions and Struwe.