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Given (M, g) a compact Riemannian manifold of dimension n ≥ 3, we are interested in the existence of blowing-up sign-changing families (uε) ε>0 ∈ C 2,θ (M), θ ∈ (0, 1), of solutions to ∆guε + huε = |uε| 4 n−2 −ε uε in M ...