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math.AP2006★ 1 cited
Conservation laws for fourth order systems in four dimensions
Tobias Lamm, Tristan Riviere
Following an approach of the second author for conformally invariant variational problems in two dimensions, we show in four dimensions the existence of a conservation law for four…
math.AP2006★ 1 cited
Partial regularity for harmonic maps, and related problems
Tristan Riviere, Michael Struwe
Via Gauge theory, we give a new proof of partial regularity for harmonic maps in dimension m>2 into arbitrary targets. This proof avoids the use of adapted frames and permits to co…
math.AP2006★ 4 cited
Conservation laws for conformal invariant variational problems
Riviere Tristan
We succeed in writing 2-dimensional conformally invariant non-linear elliptic PDE (harmonic map equation, prescribed mean curvature equations...etc) in divergence form. This diverg…