Laura Baldelli

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20232026

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math.AP2026

Qualitative properties of the fractional magnetic $p$ -Laplacian and applications to critical quasilinear problems

Laura Baldelli, Federico Bernini

We investigate the fractional magnetic $p$ -Laplacian operator in the physical dimension case $N = 3$ , with $0 < s < 1 < p$ and $s p < 3$ . Our goal is twofold. First, we define and study suita…

math.AP2024

Traveling waves for nonlinear Schrödinger equations

Laura Baldelli, Bartosz Bieganowski, Jarosław Mederski

We look for traveling wave solutions to the nonlinear Schrödinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our a…

math.AP2023

Normalized solutions to Born-Infeld and quasilinear problems

Laura Baldelli, Jarosław Mederski, Alessio Pomponio

The paper concerns the existence of normalized solutions to a large class of quasilinear problems, including the well-known Born-Infeld operator. In the mass subcritical cases, we…

Qualitative properties of the fractional magnetic p-Laplacian and applications to critical quasilinear problems

Traveling waves for nonlinear Schrödinger equations

Normalized solutions to Born-Infeld and quasilinear problems

Qualitative properties of the fractional magnetic $p$ -Laplacian and applications to critical quasilinear problems