Bruno Ribeiro

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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.AP2025

Critical p-biharmonic problems and applications to Hamiltonian systems

Kanishka Perera, Bruno Ribeiro

We study fourth-order quasilinear elliptic problems that involve the p-biharmonic operator and Navier boundary conditions. The nonlinear term grows at the critical Sobolev rate. St…