Federico Bernini

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20212026

most citedGeneralized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities

5 citations · 9 across the 9 of their papers we have counts for

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Showing 2026 · math.APShow all

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math.AP2026

Existence and regularity for an entire Grushin-Choquard equation

Federico Bernini, Paolo Malanchini

We consider the following Choquard equation $- Δ_{γ} u + u = (d (z)^{- μ} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u, in R^{N},$ where $Δ_{γ}$ is the Grushin operator. For a suit…

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…

Existence and regularity for an entire Grushin-Choquard equation

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

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