Topological arguments for an elliptic equation involving the fractional Laplacian

被引：0
|
作者：
Mohammed Ali Al-Ghamdi
Wael Abdelhedi
Hichem Chtioui
机构：
[1] King Abdulaziz University,Department of Mathematics
[2] Sfax University,Department of Mathematics, Faculty of Sciences of Sfax
来源：
Boundary Value Problems | / 2014卷 / 1期
关键词：
fractional Laplacian; critical exponent; critical points at infinity; Nirenberg problem;
D O I：
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学科分类号：
摘要：
In this paper, we consider a fractional Nirenberg-type problem involving σ-exponent of the Laplacian on the standard n-dimensional spheres Sn. 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.
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