Finite-energy solutions to Einstein-scalar field Lichnerowicz equations on complete Riemannian manifolds

By: Bartosz Bieganowski, Pietro d'Avenia, Jacopo Schino

Published: 2026-03-10

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Abstract

This paper examines singular elliptic problems related to Einstein-scalar field Lichnerowicz equations, proving the existence of nonnegative finite-energy supersolutions. This has implications for general relativity and understanding spacetime structures with scalar fields.

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