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Topological arguments for an elliptic equation involving the fractional Laplacian
Journal article   Open access  Peer reviewed

Topological arguments for an elliptic equation involving the fractional Laplacian

Mohammed Ali Al-Ghamdi, Wael Abdelhedi and Hichem Chtioui
Boundary value problems, Vol.2014(1), pp.1-17
26/09/2014
DOI: https://doi.org/10.1186/s13661-014-0187-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider a fractional Nirenberg-type problem involving sigma-exponent of the Laplacian on the standard n-dimensional spheres S-n. 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 sigma-curvature on n-dimensional sphere.
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https://doi.org/10.1186/s13661-014-0187-2View
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