Carlo Mercuri

activity

20242026

most citedVariational methods for scaled functionals with applications to the Schrödinger-Poisson-Slater equation

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2026

New solutions to Schrödinger-Poisson-Slater equations in Coulomb-Sobolev spaces

Artur Jorge Marinho, Carlo Mercuri, Kanishka Perera

We prove existence and multiplicity results for the nonlinear and nonlocal PDE $- Δ u + (I_{α} ⋆ ∣ u ∣^{p}) ∣ u ∣^{p - 2} u = f (∣ x ∣, u) in R^{N},$ where $…

math.AP2025

Fractional Schrödinger-Poisson-Slater equations in Coulomb-Sobolev spaces

Elisandra Gloss, Carlo Mercuri, Kanishka Perera +1

We prove existence and multiplicity results for the fractional Schroedinger--Poisson--Slater equation $(- Δ)^{s} u + (I_{α} * u^{2}) u = f (∣ x ∣, u)$ in $R^{N}$ , where $0 < s < 1$ and $α\in…

math.AP2024★ 1 cited

Variational methods for scaled functionals with applications to the Schrödinger-Poisson-Slater equation

Carlo Mercuri, Kanishka Perera

We develop novel variational methods for solving scaled equations that do not have the mountain pass geometry, classical linking geometry based on linear subspaces, or $\mathbb Z_2…