Lichnerowicz-type equations on complete manifolds
classification
🧮 math.AP
gr-qcmath.DG
keywords
assumptionscompleteequationslichnerowicz-typemanifoldssolutionsanalysisappropriate
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Under appropriate spectral assumptions we prove two existence results for positive solutions of Lichnerowicz-type equations on complete manifolds. We also give a priori bounds and a comparison result that immediately yields uniqueness for certain classes of solutions. No curvature assumptions are involved in our analysis.
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