M. Squassina

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math.AP2026★ 2 cited

Power law convergence and concavity for the Logarithmic SchrÃ¶dinger equation

Marco Gallo, Sunra Mosconi, Marco Squassina

We study concavity properties of positive solutions to the Logarithmic SchrÃ¶dinger equation $- I^ u = u lo g u^{2}$ in a general convex domain with Dirichlet conditions. To this aim,…

math.AP2025

Quantitative and exact concavity principles for parabolic and elliptic equations

Marco Gallo, Riccardo Moraschi, Marco Squassina

Goal of this paper is to study classes of Cauchy-Dirichlet problems which include parabolic equations of the type $u_{t} - I^ u = a (x, t) f (u) in I^c ◯ \times (0, T)$ with $Î©\su…

math.AP2025

Concavity and perturbed concavity for $p$ -Laplace equations

Marco Gallo, Marco Squassina

In this paper we study convexity properties for quasilinear Lane-Emden-Fowler equations of the type $$\begin{cases} -Î_p u = a(x) u^q & \quad \hbox{ in $I^c ◯$ },\\ u >0 & \quad \hbox…

Power law convergence and concavity for the Logarithmic SchrÃ¶dinger equation

Quantitative and exact concavity principles for parabolic and elliptic equations

Concavity and perturbed concavity for p-Laplace equations

Concavity and perturbed concavity for $p$ -Laplace equations