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math.AP2022
Einstein Type Systems on Complete Manifolds
Rodrigo Avalos, Jorge Lira, Nicolas Marque
In this paper, we study the coupled Einstein constraint equations on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. T…
math.AP2019★ 7 cited
Minimal Bubbling for Willmore Surfaces
Nicolas Marque
In this paper we build an explicit example of a minimal bubble on a Willmore surface, showing there cannot be compactness for Willmore immersions of Willmore energy above . A…
math.AP2019★ 1 cited
An -regularity result with mean curvature control for Willmore immersions and application to minimal bubbling
Nicolas Marque
In this paper we prove a convergence result for sequences of Willmore immersions with simple minimal bubbles. To this end we replace the total curvature control in T. Rivière's pro…