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math.AP2023
Morse Index Stability of Biharmonic Maps in Critical Dimension
Alexis Michelat
Furthering the development of Da Lio-Gianocca-Rivière's Morse stability theory (arXiv:2212.03124) that was first applied to harmonic maps between manifolds and later extended to th…
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…