Recent progress on the fractional Laplacian in conformal geometry
Maria del Mar Gonzalez
TL;DR
This paper reviews recent advances in the study of the conformal fractional Laplacian, highlighting developments in analysis and geometry, and emphasizing its relevance to the PDE community.
Contribution
It provides a comprehensive overview of recent progress on the conformal fractional Laplacian from analytic and geometric perspectives, focusing on PDE applications.
Findings
Enhanced understanding of the conformal fractional Laplacian's properties
Connections established between geometric analysis and PDE theory
New techniques developed for studying fractional operators in conformal geometry
Abstract
The aim of this paper is to report on recent development on the conformal fractional Laplacian, both from the analytic and geometric points of view, but especially towards the PDE community.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Analytic and geometric function theory