3 citations · 4 across the 2 of their papers we have counts for
5 papers
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 fractional version of Rivière's GL(N)-gauge
Francesca Da Lio, Katarzyna Mazowiecka, Armin Schikorra
We prove that for antisymmetric vectorfield with small -norm there exists a gauge such that ${\rm div}_{\frac12}…
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…
Remarks on Neumann boundary problems involving Jacobians
Francesca Da Lio, Francesco Palmurella
In this short note we explore the validity of Wente-type estimates for Neumann boundary problems involving Jacobians. We show in particular that such estimates do not in general ho…
A Pohozaev-type formula and Quantization of Horizontal Half-Harmonic Maps
Francesca Da Lio, Paul Laurain, Tristan Rivière
In a recent paper the first and the third authors introduced the notion of horizontal α-harmonic map, with respect to a given C^1 planes distribution P_T on all R^m. The goal of th…