Cîrstea, F. and Fărcăşeanu, M. (2021) Sharp Existence and Classification Results for Nonlinear Elliptic Equations in with Hardy Potential. Journal of Differential Equations, 292, 461-500.
https://doi.org/10.1016/j.jde.2021.05.005

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.