14 citations · 46 across the 21 of their papers we have counts for
3 papers · 1 filter
Moduli of continuity and absolute continuity: any relation?
Matteo Muratori, Jacopo Somaglia
We construct a monotone, continuous, but not absolutely continuous function whose minimal modulus of continuity is absolutely continuous. In particular, we establish that there is…
Nonexistence of solutions to parabolic problems with a potential on weighted graphs
Dario D. Monticelli, Fabio Punzo, Jacopo Somaglia
We investigate nonexistence of nontrivial nonnegative solutions to a class of semilinear parabolic equations with a positive potential, posed on weighted graphs. Assuming an upper…
A note on smooth rotund norms which are not midpoint locally uniformly rotund
Carlo Alberto De Bernardi, Alessandro Preti, Jacopo Somaglia
We prove that every separable infinite-dimensional Banach space admits a Gâteaux smooth and rotund norm which is not midpoint locally uniformly rotund. Moreover, by using a similar…