On local behavior of singular positive solutions to nonlocal elliptic equations
Tianling Jin, Olivaine S. de Queiroz, Yannick Sire, Jingang Xiong
TL;DR
This paper investigates the local behavior of positive solutions to a fractional Yamabe equation, especially near singular sets with zero fractional capacity, providing insights into their structure and properties.
Contribution
It offers new analysis of positive solutions to nonlocal elliptic equations with singularities of zero fractional capacity, advancing understanding of their local behavior.
Findings
Characterization of solutions near singular sets
Insights into the structure of solutions with fractional capacity zero
Extensions to nonlocal elliptic equations with singularities
Abstract
We study local behavior of positive solutions to the fractional Yamabe equation with a singular set of fractional capacity zero.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis · Advanced Mathematical Modeling in Engineering