87 citations · 203 across the 8 of their papers we have counts for
9 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…
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…
n/p-Harmonic maps: regularity for the sphere case
Francesca Da Lio, Armin Schikorra
We introduce n/p-harmonic maps as critical points of E(v) the Lp-Norm of the alpha-laplacian of v, where pointwise v maps Rn into a sphere, and alpha = n/p. This energy combines th…
Uniqueness Results for Second Order Bellman-Isaacs Equations under Quadratic Growth Assumptions and Applications
Francesca Da Lio, Olivier Ley
In this paper, we prove a comparison result between semicontinuous viscosity sub and supersolutions growing at most quadratically of second-order degenerate parabolic Hamilton-Jaco…
On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions
Guy Barles, Francesca Da Lio
We study nonlinear Neumann type boundary value problems related to ergodic phenomenas. The particularity of these problems is that the ergodic constant appears in the (possibly non…