34 citations · 36 across the 17 of their papers we have counts for
12 papers · 1 filter
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…
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…
Extremals for sharp Poincaré-Sobolev inequalities: periodically perforated sets and beyond
Lorenzo Brasco, Luca Briani, Francesca Prinari
We consider periodically perforated unbounded open sets and prove existence of extremals for the relevant sharp Poincaré-Sobolev embedding constant. The existence result holds no m…
Extremals for Poincaré-Sobolev sharp constants in Steiner symmetric sets
Lorenzo Brasco, Luca Briani, Francesca Prinari
We prove existence of minimizers for the sharp Poincaré-Sobolev constant in general Steiner symmetric sets, in the subcritical and superhomogeneous regime. The sets considered are…
On fractional Hardy-type inequalities in general open sets
Eleonora Cinti, Francesca Prinari
We show that, when , the sharp Hardy constant of the punctured space in the Sobolev-Slobodecki\uı space provides an optimal l…
On Morrey's inequality in Sobolev-Slobodecki\uı spaces
Lorenzo Brasco, Francesca Prinari, Firoj Sk
We study the sharp constant in the Morrey inequality for fractional Sobolev-Slobodecki\uı spaces on the whole . By generalizing a recent work by Hynd and Seuffert, we…
Asymptotic analysis of thin structures with point dependent energy growth
Michela Eleuteri, Francesca Prinari, Elvira Zappale
dimensional reduction for hyperelastic thin films modeled through energies with point dependent growth, assuming that the sample is clamped on the lateral boundary, is perf…
Sobolev embeddings and distance functions
Lorenzo Brasco, Francesca Prinari, Anna Chiara Zagati
On a general open set of the euclidean space, we study the relation between the embedding of the homogeneous Sobolev space into and the summability prop…
A comparison principle for the Lane-Emden equation and applications to geometric estimates
Lorenzo Brasco, Francesca Prinari, Anna Chiara Zagati
We prove a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the Laplacian, with subhomogeneous power in the right-hand side. The…
Some inequalities involving perimeter and torsional rigidity
L. Briani, G. Buttazzo, F. Prinari
We consider shape functionals of the form on the class of open sets of prescribed Lebesgue measure. Here is fixed, denotes the perimeter of and…
On the radiality of constrained minimizers to the Schroedinger-Poisson-Slater energy
Vladimir Georgiev, Francesca Prinari, Nicola Visciglia
We study the radial symmetry of minimizers to the Schroedinger-Poisson-Slater (S-P-S) energy.
On the Yamabe equation with rough potentials
Francesca Prinari, Nicola Visciglia
We study the existence of non--trivial solutions to the Yamabe equation: $$ u(x)=0 \h…