Paolo Malanchini

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20242026

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math.AP2026

Optimal data-driven solutions for a stationary diffusive model of population growth

Laura Baldelli, Paolo Malanchini, Wolfgang Reichel

We study optimal data-driven solutions for the stationary diffusive population growth model $- Δ u = r u$ in a bounded domain $Ω \subset R^{N}$ with Neumann boundary conditions.…

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

A note on critical problems involving the $p$ -Grushin Operator: existence of infinitely many solutions

Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi

We consider a critical problem in a bounded domain involving the $p$ -Grushin operator $Δ_{α}^{p}$ . After a truncation argument, we obtain infinitely many solutions to our problem via K…

Optimal data-driven solutions for a stationary diffusive model of population growth

Existence and regularity for an entire Grushin-Choquard equation

A note on critical problems involving the p-Grushin Operator: existence of infinitely many solutions

A note on critical problems involving the $p$ -Grushin Operator: existence of infinitely many solutions