73 citations · 462 across the 55 of their papers we have counts for
69 papers
The Parametric Willmore Flow
Francesco Palmurella, Tristan Rivière
We establish a minimal positive existence time of the parametric Willmore flow for any smooth initial data (smooth immersion of a closed oriented surface). The minimal existence ti…
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…
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…
Area Variations under Legendrian Constraint
Tristan Rivière
In any 5 dimensional closed Sasakian manifold we prove that any minmax operation on the area among Legendrian surfaces is achieved by a continuous conformal Legendrian map from a c…
Morse Index Stability for Critical Points to Conformally invariant Lagrangians
Francesca Da Lio, Matilde Gianocca, Tristan Rivière
We prove the upper-semi-continuity of the Morse index plus nullity of critical points to general conformally invariant Lagrangians in dimension 2 under weak convergence. Precisely…
A variational approach to -harmonic maps and applications
Filippo Gaia, Tristan Rivière
We present a renormalization procedure of the Dirichlet Lagrangian for maps from surfaces with or without boundary into and whose finite energy critical points are the …