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Volume 36, Issue 2
Properties of Solutions to Fractional Laplace Equation with Singular Term

Xinjing Wang

DOI: 10.4208/jpde.v36.n2.4

J. Part. Diff. Eq., 36 (2023), pp. 191-202.

Published online: 2023-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35A01, 35J57, 35D99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-36-191, author = {Wang , Xinjing}, title = {Properties of Solutions to Fractional Laplace Equation with Singular Term}, journal = {Journal of Partial Differential Equations}, year = {2023}, volume = {36}, number = {2}, pages = {191--202}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n2.4}, url = {http://global-sci.org/intro/article_detail/jpde/21828.html} }
TY - JOUR T1 - Properties of Solutions to Fractional Laplace Equation with Singular Term AU - Wang , Xinjing JO - Journal of Partial Differential Equations VL - 2 SP - 191 EP - 202 PY - 2023 DA - 2023/06 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n2.4 UR - https://global-sci.org/intro/article_detail/jpde/21828.html KW - Fractional Laplace equation, extension method, method of moving planes, symmetry. AB -

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.

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