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math.AP2026
Sharp Makai-type inequalities for the best Poincaré-Sobolev constants
Giovanni Pisante, Francesca Prinari
Given a bounded convex open set , we prove that the Poincaré-Sobolev constants can be bounded from below by the -power of the ratio between…
math.OC2026
Stochastic homogenization of nonconvex unbounded integral functionals with generalized Orlicz growth
Davide Aruta, Francesca Prinari, Francesco Solombrino
We consider the homogenization of random integral functionals which are possibly unbounded, that is, the domain of the integrand is not the whole space and may depend on the space-…
math.AP2026
Low eigenvalues of the Laplacian in general open sets
Lorenzo Brasco, Luca Briani, Francesca Prinari
We consider the minmax Ljusternik-Schnirelmann levels of the constrained Dirichlet integral, on a general open set of the Euclidean space. We show that, whenever one of these l…