M. Bonforte

activity

20072026

most citedExistence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains

175 citations · 580 across the 34 of their papers we have counts for

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Showing 2011 · math.APShow all

2 papers · 2 filters

math.AP2011

Total Variation Flow and Sign Fast Diffusion in one dimension

Matteo Bonforte, Alessio Figalli

We consider the dynamics of the Total Variation Flow (TVF) $u_{t} = \div (D u /∣ D u ∣)$ and of the Sign Fast Diffusion Equation (SFDE) $u_t=Δ\sign(u)$ in one spatial dimension. We find the exp…

math.AP2011★ 1 cited

Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space

Matteo Bonforte, Filippo Gazzola, Gabriele Grillo +1

We study the Emden-Fowler equation $- Δ u = ∣ u ∣^{p - 1} u$ on the hyperbolic space $H^{n}$ . We are interested in radial solutions, namely solutions depending only on the geodesic…