Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations

We consider the Wulff-type energy functional $$\mathcal{W}_\Omega(u) := \int_\Omega B(H(\nabla u (x))) - F(u(x)) \, dx,$$ where $B$ is positive, monotone and convex, and $H$ is positive homogeneous of degree 1. The critical points of this functional satisfy a possibly singular or degenerate, quasilinear equation in an anisotropic medium. We prove that the gradient of the solution is bounded at any point by the potential $F(u)$ and we deduce several rigidity and symmetry properties

The evolution of ideology, fairness and redistribution

Ideas about what is "fair" above and beyond the individuals' position in the income ladder determine preferences for redistribution. We study the dynamic evolution of different economies in which redistributive policies, perception of fairness, inequality and growth are jointly determined. We show how including fairness explains various observed relationship between inequality, redistribution and growth. We also show how different beliefs about fairness can keep two otherwise identical countries in different development paths for a very long time.Inequality, Fairness, Redistribution, Ideology.

Monotonicity formulae and classifcation results for singular, degenerate, anisotropic PDEs

We consider possibly degenerate and singular elliptic equations in a possibly anisotropic medium. We obtain monotonicity results for the energy density, rigidity results for the solutions and classi?cation results for the singularity/degeneracy/anisotropy allowed. As far as we know, these results are new even in the case of non-singular and non- degenerate anisotropic equations

Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations

We consider the Wulff-type energy functional where B is positive, monotone and convex, and H is positive homogeneous of degree 1. The critical points of this functional satisfy a possibly singular or degenerate, quasilinear equation in an anisotropic medium. We prove that the gradient of the solution is bounded at any point by the potential F(u) and we deduce several rigidity and symmetry properties

The evolution of ideology, fairness and redistribution

Ideas about what is "fair" above and beyond the individuals' positionin the income ladder influence preferences for redistribution. We study the dynamic evolution of different economies in which redistributive policies, perception of fairness, inequality and growth are jointly determined. We show how including fairness explains various observed correlations between inequality, redistribution and growth. We also show how different beliefs about fairness can keep two otherwise identical countries in different development paths for a very long time

Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs

We consider possibly degenerate and singular elliptic equations in a possibly anisotropic medium. We obtain monotonicity results for the energy density, rigidity results for the solutions and classi?cation results for the singularity/degeneracy/anisotropy allowed. As far as we know, these results are new even in the case of non-singular and non- degenerate anisotropic equations

The Evolution of Ideology, Fairness and Redistribution

Ideas about what is "fair" above and beyond the individual's position in the income ladder influence preferences for redistribution. We study the dynamic evolution of different economies in which redistributive policies, perceptions of fairness, inequality and growth are jointly determined. We show how including fairness explains various observed correlations between inequality, redistribution and growth. We also show how different beliefs about fairness can keep two otherwise identical countries in different development paths for a very long time.

Development of a Background-Oriented Schlieren Technique with Telecentric Lenses for Supersonic Flow

Background oriented schlieren (BOS) is a quantitative optical technique which exploits light deflection occurring in non-homogeneous transparent media. It allows to indirectly measure the density gradients by analysing the apparent displacement of features of a background pattern when imaged through the investigated flow. Thanks to its simple set-up and to the consolidated data reduction technique based on cross-correlation algorithms the BOS technique has progressively attracted the interest of the researchers. In this work a BOS system using a telecentric lens system has been set up in order to improve measurement accuracy and to avoid 3D effects arising from using conventional entocentric lenses. The design of the telecentric lens system is reported along with an analysis of its performance in term of spatial resolution. Some preliminary tests on a supersonic flows are also reported

Fumonisin B2 by Aspergillus niger in the grape–wine chain: an additional potential mycotoxicological risk

Fumonisins are mycotoxins with cancer-promoting activity and are associated with a number of animal and human diseases. The potential risk of contamination by fumonisin B2 (FB2), although at low levels, has been demonstrated in must and wine. Black aspergilli in general and Aspergillus niger in particular are considered to be the major responsible agents of FB2 contamination in grape and its by-products. Contamination by FB2 therefore is yet another safety concern of grape and wine producers, as ochratoxin A, produced mainly by A. carbonarius, may prove to be a major mycotoxicological problem in the grape–wine chain