A. Pinamonti

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20112026

most citedExistence and uniqueness theorems for some semi-linear equations on locally finite graphs

22 citations · 80 across the 66 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group

Laura Caravenna, Elio Marconi, Andrea Pinamonti

We prove Hölder regularity of any continuous solution $u$ to a $1$ -D scalar balance law $u_{t} + [f (u)]_{x} = g$ , when the source term $g$ is bounded and the flux $f$ is nonlinear of o…

math.AP2023

The asymptotic $p$ -Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces

Luca Capogna, Gianmarco Giovannardi, Andrea Pinamonti +1

In this paper we study the asymptotic behavior of solutions to the subelliptic $p$ -Poisson equation as $p \to + \infty$ in Carnot Carathéodory spaces. In particular, introducing a su…

Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group

The asymptotic p-Poisson equation as p→∞ in Carnot-Carathéodory spaces

The asymptotic $p$ -Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces