Establishes sharp L^p Sobolev well-posedness and regularity for scalar elliptic equations on minimally regular closed manifolds via localization to Euclidean space and duality/Fredholm methods.
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$\mathrm{L}^p$-based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations
Establishes sharp L^p Sobolev well-posedness and regularity for scalar elliptic equations on minimally regular closed manifolds via localization to Euclidean space and duality/Fredholm methods.