The Brezis-Coron maps are the unique weak harmonic maps from the unit disk to S^2 with boundary trace g_R.
Conservation laws for conformally invariant variational problems , volume =
3 Pith papers cite this work. Polarity classification is still indexing.
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A Campanato-type discrete iteration scheme proves local Holder continuity for almost harmonic maps with L^q tension fields and related systems under the condition that div Omega is in L^q, without using H^1-BMO duality or moving frames.
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
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Prescribing geodesics and a variational problem for Riemannian metrics
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.