Giacomo Maria Leccese

activity

20202026

collaborators

4 papers

math.AP2026

Existence and Blow-Up for Nonlinear Fokker-Planck with Controlled Drift Divergence

Giacomo Maria Leccese

We extend the global existence results for critical parameters of [Bianchini and Leccese, J. Math. Anal. Appl. (2024)] to the multidimensional problem \begin{equation*} \partial_t…

math.AP2023

Existence and Blow-up for Non-autonomous Scalar Conservation Laws With Viscosity

Stefano Bianchini, Giacomo Maria Leccese

We consider a question posed in [GSZZ22], namely the blow-up of the PDE $u_{t} + (b (t, x) u^{1 + k})_{x} = u_{xx}$ when $b$ is uniformly bounded, Lipschitz and $k = 2$ . We give a comple…

math.MG2022

On the Hausdorff Measure of $R^{n}$ with the Euclidean Topology

Marco Bagnara, Luca Gennaioli, Giacomo Maria Leccese +1

In this paper we answer a question raised by David H. Fremlin about the Hausdorff measure of $R^{2}$ with respect to a distance inducing the Euclidean topology. In particula…

math.MG2020

A study of measure-theoretic area formulas

Giacomo M. Leccese, Valentino Magnani

We present a complete study of measure-theoretic area formulas in metric spaces, providing different measurability conditions.

Existence and Blow-Up for Nonlinear Fokker-Planck with Controlled Drift Divergence

Existence and Blow-up for Non-autonomous Scalar Conservation Laws With Viscosity

On the Hausdorff Measure of Rn with the Euclidean Topology

A study of measure-theoretic area formulas

On the Hausdorff Measure of $R^{n}$ with the Euclidean Topology