The multidimensional view of well-being is receiving growing attention, both in academic research and policy-oriented analysis. This paper examines empirical strategies to measure poverty and inequality in multiple domains, concentrating on two problems in the use of synthetic multidimensional indices: the weighting structure of different functionings and the functional form of the index. These...

In this paper, we consider a frictional contact problem with normal compliance. The problem is formulated as a variational inequality, and is shown to possess a unique solution. The nite element approximation is analyzed, with a Cee alike inequality proved. A major diiculty in actually solving the problem is caused by the presence of a non-diierentiable functional in the formulation of the prob...

The robust exponential stability is investigated for a class of uncertain neutral-type neural networks with discrete and distributed time-varying delays. By introducing a new vector Lyapunov-Krasovskii functional, using Jensen integral inequality, free-weighting matrix method and linear matrix inequality techniques, delay-dependent sufficient conditions are obtained for exponential stability of...

Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of Blaschke–Santaló inequality and affine isoperimetric inequalities for many sets functions. We derive it an entropy bound total Kantorovich cost appearing in problem. also establish “pointwise Prékopa–Leindler inequality” show monotonicity property multimarginal Blaschke–Santaó f...