73 citations · 462 across the 55 of their papers we have counts for
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Energy quantization for biharmonic maps
P. Laurain, T. Riviere
In the present work we establish an energy quantization (or energy identity) result for solutions to scaling invariant variational problems in dimension 4 which includes biharmonic…
Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications
Paul Laurain, Tristan Riviere
In the present work we establish a quantization result for the angular part of the energy of solu- tions to elliptic linear systems of Schrödinger type with antisymmetric potential…
Asymptotic Analysis of Branched Willmore Surfaces
Yann Bernard, Tristan Rivière
We consider a closed Willmore surface properly immersed in (m>2) with square-integrable second fundamental form, and with one point-singularity of finite arbitrary integer…
Energy Quantization for Willmore Surfaces and Applications
Yann Bernard, Tristan Rivière
We prove a bubble-neck decomposition together with an energy quantization result for sequences of Willmore surfaces into an arbitrary euclidian space with uniformly bounded energy…