TITLE:
The Existence of Solution of a Critical Fractional Equation
AUTHORS:
Hui Chen
KEYWORDS:
Variational Approach, Fractional Laplacian, Minimax Principle, Genus
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.1,
January
31,
2019
ABSTRACT: In this paper, we study the existence of solution of a critical fractional
equation; we will use a variational approach to find the
solution. Firstly, we will find a suitable functional to our problem; next, by
using the classical concept and properties of the genus, we construct a mini-max class of critical points.