The upper and lower compensated convex transforms are `tight' one-sided approximations for a given function. We apply these transforms to the extraction of fine geometric singularities from general semiconvex/semiconcave ...

In this article we prove existence of positive solutions for the nonlinear elliptic equation ℳ λ,Λ + (D 2 u)-γu+f(u)=0inΩ,u=0on∂Ω, where ℳ λ,Λ + denote Pucci’s extremal operator with parameters 0<λ≤Λ and Ω is convex smooth ...

After a short introduction to the nonmesonic weak decay (NMWD) ΛN→nN of Λ-hypernuclei we discuss the long-standing puzzle on the ratio Γn/Γp, and some recent experimental evidences that signalized towards its final solution. ...

We consider the problem of finding positive solutions of the problem Δu − λu + u 5 = 0 in a bounded, smooth domain Ω in ℝ 3 , under zero Neumann boundary conditions. Here λ is a positive number. We analyze the role of ...

This is a study of fuzzy measures and fuzzy inte-grals; it presents some of the phenomena wherethey are used. It exposes how the concept of fuzzymeasure is introduced and from it, the notion offuzzy integral is presented. ...