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- W4302585851 abstract "We prove the compactness of solutions to general fourth order elliptic equations which are L^1-perturbations of the Q-curvature equation on compact Riemannian 4-maniods. Consequently, we prove the global existence and convergence of the Q-curvature flow on a generic class of Riemannian 4-manifolds. As a by product, we give a positive answer to an open question by A. Malchiodi on the existence of bounded Palais-Smale sequences for the Q-curvature problem when the Paneitz operator is positive with trivial kernel." @default.
- W4302585851 created "2022-10-06" @default.
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- W4302585851 date "2014-04-30" @default.
- W4302585851 modified "2023-09-26" @default.
- W4302585851 title "Compactness Properties for Geometric Fourth order Elliptic equations with Application to the Q-curvature Flow" @default.
- W4302585851 doi "https://doi.org/10.48550/arxiv.1405.0024" @default.
- W4302585851 hasPublicationYear "2014" @default.
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