Zobrazeno 1 - 10
of 2 079
pro vyhledávání: '"Cabre P"'
We consider nonconstant periodic constrained minimizers of semilinear elliptic equations for integro-differential operators in $\mathbb{R}$. We prove that, after an appropriate translation, each of them is necessarily an even function which is decrea
Externí odkaz:
http://arxiv.org/abs/2404.06462
In this article we build a null-Lagrangian and a calibration for general nonlocal elliptic functionals in the presence of a field of extremals. Thus, our construction assumes the existence of a family of solutions to the Euler-Lagrange equation whose
Externí odkaz:
http://arxiv.org/abs/2312.11636
Autor:
Cufí-Cabré, Clara, Fontich, Ernest
We consider analytic maps and vector fields defined in $\mathbb{R}^2 \times \mathbb{T}^d$, having a $d$-dimensional invariant torus $\mathcal{T}$. The map (resp. vector field) restricted to $\mathcal{T}$ defines a rotation of frequency $\omega$, and
Externí odkaz:
http://arxiv.org/abs/2310.05630
Publikováno v:
Lifestyle Genomics, Vol 17, Iss 1, Pp 93-101 (2024)
Background: Women can spend up to 40% of their lives in the postmenopausal state. As women begin to transition into menopause, known as perimenopause, changes in hormonal concentrations and body composition dramatically increase overall cardiometabol
Externí odkaz:
https://doaj.org/article/e7ccdb031efa4f16a09de5191b91ae10
Publikováno v:
Clinical Ophthalmology, Vol 2013, Iss default, Pp 1145-1153 (2013)
Harold Merle,1 Stéphane Olindo,2 Séverine Jeannin,2 Rabih Hage,1 Angélique Donnio,1 Raymond Richer,1 Philippe Cabre2 1Service d'Ophtalmologie, 2Service de Neurologie, Centre Hospitalier Universitaire de Fort de France, Fort-de-France, Martinique,
Externí odkaz:
https://doaj.org/article/d32ecba1a77e4a2c8877860bd0bfbcae
Publikováno v:
Ecological Indicators, Vol 167, Iss , Pp 112708- (2024)
As the mussel farming industry moves offshore, there is a need to fill evidence gaps on its ecological impacts. Over eight years, this research presents the results of a long-term monitoring study of the UK’s first large scale offshore mussel farm
Externí odkaz:
https://doaj.org/article/d67ac6593ccd4d578a10b683dfe46bb2
In this paper we extend, for the first time, part of the Weierstrass extremal field theory in the Calculus of Variations to a nonlocal framework. Our model case is the energy functional for the fractional Laplacian (the Gagliardo-Sobolev seminorm), f
Externí odkaz:
http://arxiv.org/abs/2211.16536
Autor:
Cabre, Xavier
We establish two new estimates which control a function (after subtracting its average) in $L^1$ by only the $L^1$ norm of its radial derivative. While the interior estimate holds for all superharmonic functions, the boundary version is much more del
Externí odkaz:
http://arxiv.org/abs/2211.13033
Autor:
Thomas, Fanny, Gallea, Cécile, Moulier, Virginie, Bouaziz, Noomane, Valero-Cabré, Antoni, Januel, Dominique
Auditory verbal hallucinations (AVH) in schizophrenia (SZ) have been associated with abnormalities of the left arcuate fasciculus and transcallosal white matter projections linking homologous language areas of both hemispheres. While most studies hav
Externí odkaz:
http://arxiv.org/abs/2211.09608
This paper provides the first variational proof of the existence of periodic nonlocal-CMC surfaces. These are nonlocal analogues of the classical Delaunay cylinders. More precisely, we show the existence of a set in $\mathbb{R}^n$ which is periodic i
Externí odkaz:
http://arxiv.org/abs/2210.15590