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math.AP2026
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…
math.AP2025
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…
math.AP2025
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…