In this paper we introduce a boundary value problem involving powers of the p-Laplace operator. We will then prove a variant of Talenti inequality which shows that the Schwarz symmetrization of the solution of the boundary value problem is majorized by the solution of the appropriately symmetrized version of the problem. The case of equality is also investigated. Finally, as an application, we ...

We prove that for any vacuum, maximal, asymptotically flat, axisymmetric initial data for Einstein equations close to extreme Kerr data, the inequality √ J ≤ m is satisfied, where m and J are the total mass and angular momentum of the data. The proof consists in showing that extreme Kerr is a local minimum of the mass.

Pervasive health games have a potential to impact health-related behaviors. And, similar to other types of interventions, engagement and adherence in health games is the keystone for examining their shortand long-term effects. Many health-based applications have turned to gamification principles specifically to enhance their engagement. However, according to many reports, only 41% of participan...

This essay briefly discusses neo-liberal approaches to the provision of social welfare, in synergy with reforms in public administration. It is the nuanced and dynamic interplay between these approaches that influences governance and business management activities of Indigenous community-controlled organisations within the Australian context. This paper draws on previous work identifying the ra...

This paper is devoted to a general equilibrium analysis of the relationship between the inequality in asset holdings and the aggregate levels of output and employment in a developing economy. Since luxuries and basic goods compete for the use of the same scarce resources, unemployment is conceived as a mechanism whereby the market demand for basic goods can be limited to a sufliciently low leve...

How does nancial integration impact capital accumulation, current-account dynamics, and cross-country inequality? This paper investigates this question within a two-country, generalequilibrium, incomplete-markets model that focuses on the importance of idiosyncratic entrepreneurial risk a risk that introduces, not only a precautionary motive for saving, but also a wedge between the interest rat...

Several inequalities are presented which, in part, generalize inequalities by Weinstein and Weiss, giving rise to new lower bounds for the Bayes risk under squared error loss. Consider a Bayesian setting in which y denotes the observed data and θ denotes an unknown scalar parameter. Suppose that E [ (θ − E(θ|y)) |y ] and E [ (θ − E(θ|y)) ] exist. For any estimator δ(y) of θ, E [ (θ − δ(y))|y ] ...

Gang members carry guns and twitter accounts. Media outlets nationally have reported on a new phenomenon of gang affiliates using social media sites such as Twitter, Facebook and YouTube to trade insults or make violence threats that lead homicide or victimization. We term this interaction internet banging. Police departments in metropolitan areas have increased resources in their gang violence...

The paper analyzes the joint evolution of accumulation and distribution of human capital in an OLG framework. Dynamics arises as a result of a continuous interplay between features of the human capital distribution and individual variables inherited human capital and inborn ability. Such interaction drives individual investment in human capital and accumulation in the economy. According to the ...

This research develops a theory about the role of inequality in the overtaking of growth performance across countries. The theory captures two opposing effects of inequality on factor accumulation and suggests that the qualitative change in their combined effect is a prime cause of overtaking. Due to the initial dominance of the positive effect of inequality, a less egalitarian economy undergoe...