135 citations · 217 across the 18 of their papers we have counts for
5 papers · 2 filters
Asymptotic expansions of the contact angle in nonlocal capillarity problems
Serena Dipierro, Francesco Maggi, Enrico Valdinoci
We consider a family of nonlocal capillarity models, where surface tension is modeled by exploiting the family of fractional interaction kernels , with and…
A bridge between Sobolev and Escobar inequalities and beyond
Francesco Maggi, Robin Neumayer
The classical Sobolev and Escobar inequalities are embedded into the same one-parameter family of sharp trace-Sobolev inequalities on half-spaces. Equality cases are characterized…
Capillarity problems with nonlocal surface tension energies
Francesco Maggi, Enrico Valdinoci
We explore the possibility of modifying the classical Gauss free energy functional used in capillarity theory by considering surface tension energies of nonlocal type. The correspo…
A quantitative analysis of metrics on with almost constant positive scalar curvature, with applications to fast diffusion flows
Giulio Ciraolo, Alessio Figalli, Francesco Maggi
We prove a quantitative structure theorem for metrics on that are conformal to the flat metric, have almost constant positive scalar curvature, and cannot concentrat…
The sharp quantitative Euclidean concentration inequality
Alessio Figalli, Francesco Maggi, Connor Mooney
The Euclidean concentration inequality states that, among sets with fixed volume, balls have -neighborhoods of minimal volume for every . On an arbitrary set, the deviation…