“…• We prove Theorem 1.1 assuming that the L ∞ norm of the coupling field X is small, depending on n, g, h, f, π, σ (see Section 2). This assumption is harmless, since smallness conditions on X are necessary for solutions of (1.1) to exist: see [26,37,38]. • Our choice of the coefficients (h, f, π, σ, X, Y ) is driven by the a priori stability analysis of [39].…”