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：

暂无

中图分类号：

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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