Properties of Solutions to Fractional Laplace Equation with Singular Term

Xinjing Wang

doi:10.4208/jpde.v36.n2.4

Properties of Solutions to Fractional Laplace Equation with Singular Term

Authors

Xinjing Wang

DOI:

https://doi.org/10.4208/jpde.v36.n2.4

Keywords:

Fractional Laplace equation, extension method, method of moving planes, symmetry.

Abstract

The aim of the paper is to study the properties of positive classical solutions to the fractional Laplace equation with the singular term. Using the extension method, we prove the nonexistence and symmetric of solutions to the singular fractional equation.

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Published

2023-06-28

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Issue

Vol. 36 No. 2 (2023)

Section

Articles

How to Cite

Properties of Solutions to Fractional Laplace Equation with Singular Term. (2023). Journal of Partial Differential Equations, 36(2), 191-202. https://doi.org/10.4208/jpde.v36.n2.4