1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2023
Weighted Eigenvalue Problems for Fourth-Order Operators in Degenerating Annuli
Alexis Michelat, Tristan Rivière
We obtain a nigh optimal estimate for the first eigenvalue of two natural weighted problems associated to the bilaplacian (and of a continuous family of fourth-order elliptic opera…
math.DG2023★ 1 cited
Morse Index Stability of Willmore Immersions I
Alexis Michelat, Tristan Rivière
In a recent work, F. Da Lio, M. Gianocca, and T. Rivière developped a new method to show upper semi-continuity results in geometric analysis, which they applied to conformally inva…
math.AP2021
Quantization of the Willmore Energy in Riemannian Manifolds
Alexis Michelat, Andrea Mondino
We show that the quantization of energy for Willmore spheres into closed Riemannian manifolds holds provided that the Willmore energy and the area are uniformly bounded. The analog…