Matheus C. Santos

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20132026

most citedDisplacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equations

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

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math.AP2016★ 1 cited

Displacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equations

José A. Carrillo, Ansgar Jüngel, Matheus C. Santos

The displacement $λ$ -convexity of a nonstandard entropy with respect to a nonlocal transportation metric in finite state spaces is shown using a gradient flow approach. The constan…

math.AP2013

Existence and symmetry for elliptic equations in R^n with arbitrary growth in the gradient

Lucas C. F. Ferreira, Marcelo Montenegro, Matheus C. Santos

We study the semilinear elliptic equation $Δ u + g (x, u, D u) = 0$ in $R^{n}$ . The nonlinearities $g$ can have arbitrary growth in $u$ and $D u$ , including in particular the exponential…