Alexis Michelat

most citedHigher Regularity of Weak Limits of Willmore Immersions I

3 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2019★ 3 cited

Higher Regularity of Weak Limits of Willmore Immersions I

Alexis Michelat, Tristan Rivière

We obtain in arbitrary codimension a removability result on the order of singularity of weak limits and bubbles of Willmore immersions measured by the second residue. This permits…

math.AP2019★ 1 cited

Higher Regularity of Weak Limits of Willmore Immersions II

Alexis Michelat, Tristan Rivière

We obtain in arbitrary codimension a removability result on the order of singularity of Willmore surfaces realising the width of Willmore min-max problems on spheres. As a conseque…

math.DG2016

Morse Index of Willmore spheres in $S^{3}$

Alexis Michelat

We obtain an upper bound for the Morse index of Willmore spheres $Σ \subset S^{3}$ coming from an immersion of $S^{2}$ . The quantization of Willmore energy shows that there exists an in…

Higher Regularity of Weak Limits of Willmore Immersions I

Higher Regularity of Weak Limits of Willmore Immersions II

Morse Index of Willmore spheres in S3

Morse Index of Willmore spheres in $S^{3}$