Local Palais-Smale Sequences for the Willmore Functional

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dc.creatorBernard, Yann
dc.creatorRiviere, Tristan
dc.date2009-04-02
dc.date.accessioned2026-07-07T12:59:35Z
dc.date.available2026-07-07T12:59:35Z
dc.descriptionUsing the reformulation in divergence form of the Euler-Lagrange equation for the Willmore functional as it was developed in "Analysis of the Willmore Functional" by T. Riviere (Invent. Math. 174), we study the limit of a local Palais-Smale sequence of weak Willmore immersions with locally square-integrable second fundamental form. We show that the limit immersion is smooth and that it satisfies the conformal Willmore equation: it is a critical point of the Willmore functional restricted to infinitesimal conformal variations.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0904.0360
dc.identifierhttp://arxiv.org/abs/0904.0360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225617
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A05; 53C42; 58E15; 53A30; 35Jxx
dc.titleLocal Palais-Smale Sequences for the Willmore Functional
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