Abstract
We investigate stability issues for Einstein-scalar field Lichnerowicz equations in the inhomogeneous context of a compact Riemannian manifold. We prove that stability holds true when the dimension n is such that n ≤ 5 and fails to hold in general when n ≥ 6.
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Druet, O., Hebey, E. Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Math. Z. 263, 33–67 (2009). https://doi.org/10.1007/s00209-008-0409-3
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DOI: https://doi.org/10.1007/s00209-008-0409-3