E. Cinti

most citedSharp energy estimates for nonlinear fractional diffusion equations

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2012★ 1 cited

Sharp energy estimates for nonlinear fractional diffusion equations

Xavier Cabre, Eleonora Cinti

We study the nonlinear fractional equation $(- Δ)^{s} u = f (u)$ in $R^{n}$ , for all fractions $0 < s < 1$ and all nonlinearities $f$ . For every fractional power $s \in (0, 1)$ , we o…

math.AP2011

Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

Eleonora Cinti

We establish existence and qualitative properties of saddle-shaped solutions of the elliptic fractional equation $(- Δ)^{1/2} u = f (u)$ in all the space $\re^{2m}$, where $f$ is of bis…