Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Francesca Da Lio"'
Autor:
Francesca Da Lio
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 9, Iss 1, Pp 115-136 (2018)
In this note we present some Pohozaev-type identities that have been recently established in a joint work with Paul Laurain and Tristan Rivière in the framework of half-harmonic maps defined either on the real line or on the unit circle with values
Externí odkaz:
https://doaj.org/article/bce04d1a0aa444ad87862d690d9228e9
Autor:
Tristan Rivière, Francesca Da Lio
Publikováno v:
Communications in Partial Differential Equations. 45:931-969
We present a class of pseudo-differential elliptic systems with anti-self-dual potentials on R satisfying compensation phenomena similar to the ones discovered by the second author for elliptic sys...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8de027aa112832357edc4125624a9104
https://doi.org/10.1080/03605302.2020.1748055
https://doi.org/10.1080/03605302.2020.1748055
Publikováno v:
Annali di matematica pura ed applicata 201(4), 1817-1853 (2022). doi:10.1007/s10231-021-01180-9
We prove that for antisymmetric vector field $$\Omega $$ Ω with small $$L^2$$ L 2 -norm there exists a gauge $$A \in L^\infty \cap {\dot{W}}^{1/2,2}({\mathbb {R}}^1,GL(N))$$ A ∈ L ∞ ∩ W ˙ 1 / 2 , 2 ( R 1 , G L ( N ) ) such that $$\begin{align
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f7bb9b69c270a3baf086f1a59d3b9c8
https://publications.rwth-aachen.de/record/837731
https://publications.rwth-aachen.de/record/837731
Publikováno v:
Journal of Functional Analysis, 281 (9)
In this note, we prove a fractional version in 1-D of the Bourgain-Brezis inequality [1]. We show that such an inequality is equivalent to the fact that a holomorphic function f:D→C belongs to the Bergman space A2(D), namely f∈L2(D), if and only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33dc3bb53ed32fb9eaea286049539c9f
https://hdl.handle.net/20.500.11850/529971
https://hdl.handle.net/20.500.11850/529971
Autor:
Francesca Da Lio, Francesco Palmurella
Publikováno v:
Communications in Partial Differential Equations. 42:1497-1509
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 hold under the same hypotheses on the data for Dirichlet boundary proble
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c20beac29a8f015505407b5698bb86bc
https://doi.org/10.1080/03605302.2017.1377231
https://doi.org/10.1080/03605302.2017.1377231
Autor:
Tristan Rivière, Francesca Da Lio
We establish the regularity in 2 dimension of L 2 solutions to critical elliptic systems in divergence form involving chirality operators of finite W 1 , 2 -energy.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60adaad039653680f3513eb1442f22eb
http://arxiv.org/abs/1907.10520
http://arxiv.org/abs/1907.10520
The Poisson problem consists in finding an immersed surface $\Sigma\subset\mathbb{R}^m$ minimising Germain's elastic energy (known as Willmore energy in geometry) with prescribed boundary, boundary Gauss map and area which constitutes a non-linear mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e90650eff8aff40144422de3491a20f
Autor:
Francesca Da Lio
Publikováno v:
Recent Developments in Nonlocal Theory
Recent Developments in Nonlocal Theory
ISBN:978-3-11-057156-1
ISBN:978-3-11-057156-1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9704a9d496d8e6be09d08523e126569f
Autor:
Francesca Da Lio
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 32:201-224
In this paper we study compactness and quantization properties of sequences of 1/2-harmonic maps u k : R → S m − 1 such that ‖ u k ‖ H ˙ 1 / 2 ( R , S m − 1 ) ⩽ C . More precisely we show that there exist a weak 1/2-harmonic map u ∞ :
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3d81953255de3f0025144b4b18387b7
https://doi.org/10.1016/j.anihpc.2013.11.003
https://doi.org/10.1016/j.anihpc.2013.11.003
Autor:
Luca Martinazzi, Francesca Da Lio
Publikováno v:
Calculus of Variations and Partial Differential Equations. 56
In this paper we perform a blow-up and quantization analysis of the fractional Liouville equation in dimension 1. More precisely, given a sequence $$u_k :\mathbb {R}\rightarrow \mathbb {R}$$ of solutions to 1 $$\begin{aligned} (-\Delta )^\frac{1}{2}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c25492f2fe504ddd235b673582fde82
https://doi.org/10.1007/s00526-017-1245-2
https://doi.org/10.1007/s00526-017-1245-2