Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Federico Tournier"'
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38:577-600
We establish local C 1 , α estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d6e83a3eebfe7b7149c986f2f6ecf2f
https://doi.org/10.1016/j.anihpc.2020.08.002
https://doi.org/10.1016/j.anihpc.2020.08.002
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::187077f8d22fc2bef417937bdf34ef4f
https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a01
https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a01
Publikováno v:
Communications in Partial Differential Equations. 36:2103-2116
We consider degenerate elliptic equations of the form where X i, j are defined with the Heisenberg vector fields, and the matrix coefficient is uniformly elliptic. We obtain an invariant Harnack's inequality on metric balls for nonnegative solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::591a902f84eedde96d037c392b59ccf8
https://doi.org/10.1080/03605302.2011.618210
https://doi.org/10.1080/03605302.2011.618210
Publikováno v:
Proceedings of the American Mathematical Society. 138:2001-2014
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d86b59122154d2d539d641108549edf
https://doi.org/10.1090/s0002-9939-10-10255-x
https://doi.org/10.1090/s0002-9939-10-10255-x
Publikováno v:
Communications in Analysis and Geometry. 12:853-886
A classical theorem states that a convex function in R admits second derivatives at a.e. point. This result was first proved by Busemann and Feller [BF] for functions in the plane, and subsequently generalized by A.D. Alexandrov [A] to arbitrary dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4af8f0d9b0cb90b6a55721351a54931
https://doi.org/10.4310/cag.2004.v12.n4.a5
https://doi.org/10.4310/cag.2004.v12.n4.a5
The problem of designing an optical interface surface separating two media with different refractive indices that focuses monochromatic collimated radiation, from a plane domain Ω so that each ray has a prescribed destination in Ω′ lying in 3d-sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3eb96de86da7d8e71eae6ffa7886180
http://www.sciencedirect.com/science/article/pii/S0362546X14002016
http://www.sciencedirect.com/science/article/pii/S0362546X14002016
We prove local $C^{1,\alpha}$ estimates of solutions for the parallel refractor and reflector problems under local assumptions on the target set $\Sigma$, and no assumptions are made on the smoothness of the densities.
Comment: 32 pages, three f
Comment: 32 pages, three f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b3df17eb882005ab3109c374f6109f9
http://arxiv.org/abs/1404.4011
http://arxiv.org/abs/1404.4011
Publikováno v:
From Fourier Analysis and Number Theory to Radon Transforms and Geometry ISBN: 9781461440741
Given two homogenous and isotropic media I and II with different refractive indices n I and n II , respectively, we have a source Ω surrounded by media I and a target screen Σ surrounded by media II. We prove existence of interface surfaces between
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36e0bc594f995345357daafe06047677
https://doi.org/10.1007/978-1-4614-4075-8_14
https://doi.org/10.1007/978-1-4614-4075-8_14
We describe necessary and sufficient conditions for image transformations so that surfaces refracting or reflecting collimated beams exist. The surfaces are given by explicit formulas. When these conditions are not satisfied, we show that a surface c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ace0b8db7b4d28bf14dd3a35710253b1
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-28-9-1860
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-28-9-1860
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Let Ω ⊆ R n \Omega \subseteq \mathbb {R}^n be a strictly convex domain and let ϕ ∈ C 2 ( Ω ) \phi \in C^2(\Omega ) be a convex function such that λ ≤ det D 2 ϕ ≤ Λ \lambda \leq \text {det}D^2\phi \leq \Lambda in Ω \Omega . The lineariz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1aa26e3a0a876135f622c3290de96a5
http://www.ams.org/journals/tran/2006-358-11/S0002-9947-06-04189-4/
http://www.ams.org/journals/tran/2006-358-11/S0002-9947-06-04189-4/