I am reading the following proof of Cao-Yan's 2010 CVPDE Paper. It's a property for solutions of Laplace equation with Hardy potential $|x|^{-2}.$ The space dimension $N \geq 3.$ Their proof is in the following 5 pictures.
Question: how do the authors get (A.25) (in the last picture)? That is, how can they get rid of the term $\|w\|_{L^p(B_R(y))}$ in the RHS of (A.24)?
