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Moroz, V. and Van Schaftingen, J. (2013) Nonexistence and Optimal Decay of Supersolutions to Choquard Equations in Exterior Domains. Journal of Differential Equations, 254, 3089-3145.
https://doi.org/10.1016/j.jde.2012.12.019

has been cited by the following article:

• TITLE: Symmetry and Monotonicity of Positive Solutions for a Class of Choquard Equation with Hardy Potential

  AUTHORS: Ying Cai

  KEYWORDS: Choquad Equation, Hardy Potential, Positive Solutions, Moving Plane Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.3, March 25, 2025

  ABSTRACT: In this paper, a class of Choquard equation with Hardy potential in the whole space ℝ N will be considered, where the parameters p , q and α 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 D 1,2 ( ℝ N )∩C( ℝ N \{ 0 } ) to such an equation is obtained via some subtle integral estimates and moving plane techniques.