On the boundedness and compactness of weighted Green operators of second-order elliptic operators

Some new aspects of perturbation theory of positive solutions of second-order linear elliptic equations

“…it follows that G µ is a positive invariant solution of the equation (P −W µ )u = 0 in M (see [22,26] and references therein). Without loss of generality, we assume that 0 ∈ M , and we denote G(x) := G M P (x, 0).…”

“…The statement concerning the symmetric case follows from Theorem 2.11. We note that by [26], the continuous extension ψ k of ϕ k /ϕ 0 satisfies for k ≥ 1…”