14 citations · 51 across the 22 of their papers we have counts for
4 papers · 1 filter
Interpolation inequalities in pattern formation
Eleonora Cinti, Felix Otto
We prove some interpolation inequalities which arise in the analysis of pattern formation in physics. They are the strong version of some already known estimates in weak form that…
Solution of the fractional Allen-Cahn equation which are invariant under screw motion
Eleonora Cinti, Juan Davila, Manuel Del Pino
We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in , which vanish on helicoids and are invariant under scre…
A nonlinear Liouville theorem for fractional equations in the Heisenberg group
Eleonora Cinti, Jinggang Tan
We establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional power of the sub-Laplacian in the Heisenberg group. To prove our result we will us…
Regularity of isoperimetric sets in with density
Eleonora Cinti, Aldo Pratelli
We consider the isoperimetric problem in with density for the planar case . We show that, if the density is , then the boundary of any isoperimetr…