Concentration-compactness phenomena in the higher order Liouville's equation

Simple item page
dc.creatorMartinazzi, Luca
dc.date2008-09-12
dc.date2009-02-19
dc.date.accessioned2026-07-07T13:05:28Z
dc.date.available2026-07-07T13:05:28Z
dc.descriptionWe investigate different concentration-compactness phenomena related to the Q-curvature in arbitrary even dimension. We first treat the case of an open domain in $R^{2m}$, then that of a closed manifold and, finally, the particular case of the sphere $S^{2m}$. In all cases we allow the sign of the Q-curvature to vary, and show that in the case of a closed manifold, contrary to the case of open domains in $R^{2m}$, concentration phenomena can occur only at points of positive Q-curvature. As a consequence, on a locally conformally flat manifold of non-positive Euler characteristic we always have compactness.
dc.description26 pages, revised version
dc.identifierhttps://arxiv.org/abs/0809.2172
dc.identifierhttp://arxiv.org/abs/0809.2172
dc.identifierJ. Funct. Anal. 256 (2009), 3743-3771
dc.identifierdoi:10.1016/j.jfa.2009.02.017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227498
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.titleConcentration-compactness phenomena in the higher order Liouville's equation
dc.typetext

Files

Collections

arXiv