Carlo Mercuri

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20202026

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

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2026

Unique continuation, nonexistence and bubbling for the critical $p$ -Laplace equation in the plane

Carlo Mercuri

For $1 < p < 2$ we prove weak and strong unique continuation properties for the solutions to $Δ_{p} u + f (u) = 0$ in a planar domain, with $f$ continuous and such that $∣ f (s) ∣ \leq C ∣ s ∣^{p - 1}$ …

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 $…

Unique continuation, nonexistence and bubbling for the critical p-Laplace equation in the plane

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

Unique continuation, nonexistence and bubbling for the critical $p$ -Laplace equation in the plane