Decay estimates for Rivière's equation, with applications to regularity and compactness

Details Decay estimates for Rivière's equation, with applications to regularity and compactness Decay estimates for Rivière's equation, with applications to regularity and compactness

2011-02-03

arxiv.org/abs/1102.0713v2

Mathematics

Analysis of PDEs

26 pages, updated bibliographic information and discussion of examples showing that the results are sharp

Scientific paper

We derive a selection of energy estimates for a generalisation of a critical
equation on the unit disc in $\mathbb{R}^2$ introduced by Rivi\`ere.
Applications include sharp regularity results and compactness theorems which
generalise a large amount of previous geometric PDE theory, including some of
the theory of harmonic and almost-harmonic maps from surfaces.

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