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

By B. Sharp, P. Topping. 2011

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We derive a selection of energy estimates for a generalisation of a critical equation on the unit disc in ℝ2 introduced by Riviere. 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

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/00a464f5c7f572866707209d1895438656c859ba