Local Palais-Smale Sequences for the Willmore Functional

Details Local Palais-Smale Sequences for the Willmore Functional Local Palais-Smale Sequences for the Willmore Functional

2009-04-02

arxiv.org/abs/0904.0360v1

Mathematics

Differential Geometry

35 pages

Scientific paper

Using 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.

Affiliated with

Also associated with

No associations

Rating

Local Palais-Smale Sequences for the Willmore Functional does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local Palais-Smale Sequences for the Willmore Functional, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local Palais-Smale Sequences for the Willmore Functional will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63792