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 2012 · math.APShow all

2 papers · 2 filters

math.AP2012★ 11 cited

Quantitative Local and Global A Priori Estimates for Fractional Nonlinear Diffusion Equations

Matteo Bonforte, Juan Luis Vazquez

We establish quantitative estimates for solutions $u (t, x)$ to the fractional nonlinear diffusion equation, $\partial_{t} u + (- Δ)^{s} (u^{m}) = 0$ in the whole range of exponents $m > 0$ , $0<…

math.AP2012

Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations

Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez

The purpose of this paper is to prove local upper and lower bounds for weak solutions of semilinear elliptic equations of the form $- Δ u = c u^{p}$ , with $0 < p < p_{s} = (d + 2) / (d - 2)$ , defined…