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math.AP2025
Normalized ground states for NLS equations with mass critical nonlinearities
Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1
We study normalized solutions to nonlinear Schrödinger equations $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\…
math.AP2025
Quantitative and exact concavity principles for parabolic and elliptic equations
Marco Gallo, Riccardo Moraschi, Marco Squassina
Goal of this paper is to study classes of Cauchy-Dirichlet problems which include parabolic equations of the type with $Ω\subse…
math.AP2025
A Pohožaev minimization for normalized solutions: fractional sublinear equations of logarithmic type
Marco Gallo, Jacopo Schino
In this paper, we search for normalized solutions to a fractional, nonlinear, and possibly strongly sublinear Schrödinger equation $$(-Δ)^s u + μu = g(u) \quad \hbox{in $\mathbb{R}…