%0 Journal Article
%T Symmetry and Monotonicity of Positive Solutions for a Class of Choquard Equation with Hardy Potential
%A Ying Cai
%J Journal of Applied Mathematics and Physics
%P 871-888
%@ 2327-4379
%D 2025
%I Scientific Research Publishing
%R 10.4236/jamp.2025.133046
%X In this paper, a class of Choquard equation with Hardy potential in the whole space <math xmlns='http://www.w3.org/1998/Math/MathML'>
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 will be considered, where the parameters <math xmlns='http://www.w3.org/1998/Math/MathML'>
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, <math xmlns='http://www.w3.org/1998/Math/MathML'>
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 and <math xmlns='http://www.w3.org/1998/Math/MathML'>
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 in the convolution-nonlinearity term are under a suitable range. Without the hypothesis of pointwise decay estimates for solutions, the symmetry of positive solutions in <math xmlns='http://www.w3.org/1998/Math/MathML'>
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 to such an equation is obtained via some subtle integral estimates and moving plane techniques.
%K Choquad Equation
%K Hardy Potential
%K Positive Solutions
%K Moving Plane Method
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=141512