14 citations · 51 across the 22 of their papers we have counts for
23 papers · 1 filter
Existence and non-existence results for a fractional Lane-Emden equation with nonlocal Neumann conditions
Eleonora Cinti, Matteo Talluri, Tobias Weth
We consider the fractional Lane-Emden equation with a nonlocal Neumann condition in a half-space. We establish the existence of non-constant solutions for the critical problem in a…
A strong quantitative form of the fractional isoperimetric inequality
Eleonora Cinti, Enzo Maria Merlino, Berardo Ruffini
We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of osc…
On a fractional semilinear Neumann problem arising in Chemotaxis
Eleonora Cinti, Matteo Talluri
We study a semilinear and nonlocal Neumann problem, which is the fractional analogue of the problem considered by Lin--Ni--Takagi in the '80s. The model under consideration arises…
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…
Optimal regularity of isoperimetric sets with Hölder densities
Lisa Beck, Eleonora Cinti, Christian Seis
We establish a regularity result for optimal sets of the isoperimetric problem with double density under mild (-)Hölder regularity assumptions on the density functions. Our main…
Existence and non-existence results for a semilinear fractional Neumann problem
Eleonora Cinti, Francesca Colasuonno
We establish a priori -estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-con…