Search results for " inequalities"
showing 10 items of 160 documents
Peut-on diminuer les inégalités sociales à l'école ?
2006
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Pathways to higher education for first and second generation immigrants in France, Switzerland and Canada: how educational tracks and aspirations mat…
2014
Despite their different histories as countries of immigration, Switzerland, France and Canada all have a sizeable immigrant population, some of which do experience obstacles in their educational and professional careers. However, both access rates of immigrant students as well as institutional routes to higher education vary remarkably between the three countries. On the one hand, France and Switzerland offer both academic and vocational routes to higher education, whereas academic routes prevail in Canada. On the other hand, immigrant students are underrepresented in Swiss and French higher education, while they generally seem to be much more successful in Canada. In this paper we wish to …
Migration history and risk of psychosis: results from the multinational EU-GEI study.
2022
The European Network of National Schizophrenia Networks Studying Gene-Environment Interactions (EU-GEI) Project was funded by grant agreement Health-F2-2010-241909 (Project EU-GEI) from the European Community’s Seventh Framework programme.
Hardy inequalities and Assouad dimensions
2017
We establish both sufficient and necessary conditions for weighted Hardy inequalities in metric spaces in terms of Assouad (co)dimensions. Our sufficient conditions in the case where the complement is thin are new even in Euclidean spaces, while in the case of a thick complement we give new formulations for previously known sufficient conditions which reveal a natural duality between these two cases. Our necessary conditions are rather straight-forward generalizations from the unweighted case, but together with some examples they indicate the essential sharpness of our results. In addition, we consider the mixed case where the complement may contain both thick and thin parts.
Symmetry for positive critical points of Caffarelli–Kohn–Nirenberg inequalities
2022
Abstract We consider positive critical points of Caffarelli–Kohn–Nirenberg inequalities and prove a Liouville type result which allows us to give a complete classification of the solutions in a certain range of parameters, providing a symmetry result for positive solutions. The governing operator is a weighted p -Laplace operator, which we consider for a general p ∈ ( 1 , d ) . For p = 2 , the symmetry breaking region for extremals of Caffarelli–Kohn–Nirenberg inequalities was completely characterized in Dolbeault et al. (2016). Our results extend this result to a general p and are optimal in some cases.
Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality
2016
We provide a sharp quantitative version of the Gaussian concentration inequality: for every $r>0$, the difference between the measure of the $r$-enlargement of a given set and the $r$-enlargement of a half-space controls the square of the measure of the symmetric difference between the set and a suitable half-space. We also prove a similar estimate in the Euclidean setting for the enlargement with a general convex set. This is equivalent to the stability of the Brunn-Minkowski inequality for the Minkowski sum between a convex set and a generic one.
In between the inequalities of Sobolev and Hardy
2015
We establish both sufficient and necessary conditions for the validity of the so-called Hardy-Sobolev inequalities on open sets of the Euclidean space. These inequalities form a natural interpolating scale between the (weighted) Sobolev inequalities and the (weighted) Hardy inequalities. The Assouad dimension of the complement of the open set turns out to play an important role in both sufficient and necessary conditions.
Some remarks on nonsmooth critical point theory
2006
A general min-max principle established by Ghoussoub is extended to the case of functionals f which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function, when f satisfies a compactness condition weaker than the Palais-Smale one, i.e., the so-called Cerami condition. Moreover, an application to a class of elliptic variational-hemivariational inequalities in the resonant case is presented. © Springer Science+Business Media B.V. 2007.
Selective versions of chain condition-type properties
2015
We study selective and game-theoretic versions of properties like the ccc, weak Lindel\"ofness and separability, giving various characterizations of them and exploring connections between these properties and some classical cardinal invariants of the continuum.
Impact de l'âge dans le cancer du sein : du diagnostic à la qualité de vie des patientes
2014
Numerous studies have shown that older women with breast cancer are undertreated in comparison with the youngest. Although several reports suggest strong socio-economic and geographic inequalities in the disease stage at diagnosis and in quality of life in breast cancer patients, the effects of these factors according to age are largely unknown in France. The objectives of this work were to determine the impact of socio-economic and geographic disparities on disease stage in breast cancer patients according to age, to describe treatments and relative survival factors in breast cancer patients according to age, and to identify age-related socioeconomic and clinical determinants of quality of…