87 citations · 203 across the 8 of their papers we have counts for
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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 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…
Blow-up analysis of a nonlocal Liouville-type equation
Francesca Da Lio, Luca Martinazzi, Tristan Rivière
In this paper we perform a blow-up and quantization analysis of the following nonlocal Liouville-type equation \begin{equation}(-Δ)^\frac12 u= κe^u-1~\mbox{in ,} \end{equation…