Search results for "INEQUALITY"

Thermodynamically consistent residual-based gradient plasticity theory and comparison

2006

A gradient plasticity theory for small deformations is presented within the framework of nonlocal continuum thermodynamics. The second principle (Clausius–Duhem inequality), enriched by an additional term named energy residual, is employed in conjunction with the concepts of insulation condition and locality recovery condition, in order to derive all the pertinent restrictions upon the constitutive equations. These include the expressions of the energy residual and of the plastic dissipation density, as well as the PDEs governing the gradient kinematic and isotropic hardening of the material, together with the related higher-order boundary conditions for both the fixed and the moving bounda…

Symmetry breaking in a constrained cheeger type isoperimetric inequality

2015

We study the optimal constant in a Sobolev inequality for BV functions with zero mean value and vanishing outside a bounded open set. We are interested in finding the best possible embedding constant in terms of the measure of the domain alone. We set up an optimal shape problem and we completely characterize the behavior of optimal domains.

A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter

2021

The aim of this paper is to prove a quantitative form of a reverse Faber-Krahn type inequality for the first Robin Laplacian eigenvalueλβwith negative boundary parameter among convex sets of prescribed perimeter. In that framework, the ball is the only maximizer forλβand the distance from the optimal set is considered in terms of Hausdorff distance. The key point of our stategy is to prove a quantitative reverse Faber-Krahn inequality for the first eigenvalue of a Steklov-type problem related to the original Robin problem.

Introduction: Time, Space and Economics in the History of Latin America

2020

This book represents a contribution in, at least, three dimensions: quantitative, historical and conceptual. From a quantitative point of view, the volume presents an extensive data set corresponding to 9 countries, 182 regions (states, provinces, departments) and around 14 benchmark years from the end of the nineteenth century to the beginning of the twenty-first century. This constitutes a substantial contribution to quantitatively analyse the economic development of Latin America, identifying the evolution of regional inequality and studying economic convergence and the formation of convergence clubs (clusters of poor and rich regions). Second, the volume combines a regional and supranat…

Convergence Theorems for Varying Measures Under Convexity Conditions and Applications

2022

AbstractIn this paper, convergence theorems involving convex inequalities of Copson’s type (less restrictive than monotonicity assumptions) are given for varying measures, when imposing convexity conditions on the integrable functions or on the measures. Consequently, a continuous dependence result for a wide class of differential equations with many interesting applications, namely measure differential equations (including Stieltjes differential equations, generalized differential problems, impulsive differential equations with finitely or countably many impulses and also dynamic equations on time scales) is provided.

On the Euler-Lagrange inequality of a convex variational integral in Orlicz spaces

1987

An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

2010

We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.

Understanding the effects of Covid-19 through a life course lens

2020

Available online 22 July 2020. Other co-authors: ANTONUCCI, T. C., DYKSTRA, P. A., HECKHAUSEN, J., KUH, D., MAYER, K. U., MOEN, P., MORTIMER, J. T., MULDER, C. H., SMEEDING, T. M., VAN DER LIPPE, T., HAGESTAD, G. O., KOHLI, Martin, LEVY, R., SCHOON, I., & THOMSON, E. The Covid-19 pandemic is shaking fundamental assumptions about the human life course in societies around the world. In this essay, we draw on our collective expertise to illustrate how a life course perspective can make critical contributions to understanding the pandemic’s effects on individuals, families, and populations. We explore the pandemic’s implications for the organization and experience of life transitions and trajec…

GDP Density Disparities in Old Europe: Theil Decomposition in Cross-Country Historical Perspective

2011

The political, social and economic aspects of Old Europe have experienced profound changes over the last century. The levels and variations of GDP provide a good, though partial, representation of these changes with specific reference to the economic development. According to historical data, GDP shows strong increases in Europe; among these countries also Italy. But, what can we say about the cross-country income inequality? In this paper, we analyze cross-country disparities of GDP density from 1870 to 2008 in fourteen western European countries. In particular, we use a Duro-Esteban decomposition of the Theil index to identify the separate contribution of GDP per capita and population den…

Mens sana in corpore exhausto. Emociones y gestión de sí en escuelas secundarias del sur global

2020

In recent years, emotional education has become a central element in a series of guidelines on a global scale that have been translated into various state initiatives aimed at education. Thus, Mens sana in corpore exhausto proposes to demonstrate the tension that is expressed between the growing series of discourses on emotional education and the school climate and the exhaustive bodies of teachers and directors of public secondary schools in the Metropolitan Region of Buenos Aires (RMBA). By way of hypothesis, these policies are considered to work on the bodies of teachers and directors, encouraging them to continue and not stop under the logic of management and self-management that throw …