34 citations · 120 across the 17 of their papers we have counts for
17 papers
Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces
Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf
We study the stability of the extended Morse index, defined as the number of negative and zero eigenvalues of the Jacobi operator, for sequences of harmonic maps on degenerating Ri…
Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere
Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf
In this paper we consider sequences of -harmonic maps, , from a closed Riemann surface into the -dimensional sphere with uniform bounded energy. These…
Bergman-Bourgain-Brezis-type Inequality
Francesca Da Lio, Tristan Rivière, Jerome Wettstein
In this note, we prove a fractional version in -D of the Bourgain-Brezis inequality \cite{bourgain1}. We show that such an inequality is equivalent to the fact that a holomorphi…
3-Commutators Revisited
Francesca Da Lio, Tristan Rivière
We present a class of Pseudo-differential elliptic systems with anti-self-dual potentials on satisfying compensation phenomena similar to the ones for elliptic system…
Some Remarks on Pohozaev-Type Identities
Francesca Da Lio
The aim of this note is to discuss in more detail the Pohozaev-type identities that have been recently obtained by the author, Paul Laurain and Tristan Rivière in the framework of…
Free boundary minimal surfaces: a nonlocal approach
Alessandro Pigati, Francesca Da Lio
Given a -smooth closed embedded manifold , with , and a compact connected smooth Riemannian surface with $\partial S\neq\emptys…