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20042022
most citedUniqueness Results for Second Order Bellman-Isaacs Equations under Quadratic Growth Assumptions and Applications

87 citations · 203 across the 8 of their papers we have counts for

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math.AP2021

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}…

math.AP2017★ 8 cited

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…

math.AP2016★ 3 cited

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…

math.AP2012★ 36 cited

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…

math.AP2010★ 87 cited

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…

math.AP2004★ 19 cited

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…