73 citations · 462 across the 55 of their papers we have counts for
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The Space of Weak Connections in High Dimensions
Mircea Petrache, Tristan Rivière
The space of Sobolev connections, as it has been introduced for studying the variation of Yang-Mills Lagrangian in the critical dimension , happens not to be weakly sequentially…
Lower Semi-Continuity of the Index in the Visosity Method for Minimal Surfaces
Tristan Rivière
The goal of the present work is twofold. First we prove the existence of an Hilbert Manifold structure on the space of immersed oriented closed surfaces with three derivatives in $…
A Resolution of the Poisson Problem for Elastic Plates
Francesca Da Lio, Francesco Palmurella, Tristan Rivière
The Poisson problem consists in finding an immersed surface minimising Germain's elastic energy (known as Willmore energy in geometry) with prescribed bounda…
A proof of the multiplicity one conjecture for min-max minimal surfaces in arbitrary codimension
Alessandro Pigati, Tristan Rivière
Given any admissible -dimensional family of immersions of a given closed oriented surface into an arbitrary closed Riemannian manifold, we prove that the corresponding min-max w…