Topological arguments for an elliptic equation involving the fractional Laplacian
Mohammed Alghamdi, Wael Abdelhedi, Hichem Chtioui · Boundary Value Problems · 2014
In this paper, we consider a fractional Nirenberg-type problem involving σ-exponent of the Laplacian on the standard n-dimensional spheres . Using an algebraic topological method and the theory of the critical points at infinity, we provide a variety of classes of functions that can be realized as the σ-curvature on n-dimensional sphere. MSC: 35M30, 35Q74, 74A15, 74A60, 74M25.