Gustavo de Paula Ramos

collaborators

4 papers

math.AP2025

Sign-changing multi-peak standing waves of the NLSE with a point interaction

Consider the following semilinear problem with a point interaction in $R^{N}$ : \[- Δ_αu + ωu = u |u|^{p - 2},\] where $N \in {2, 3}$ ; $ω > 0$ ; $- Δ_{α}$ denotes the Hamiltoni…

math.AP2024

Asymptotic profile of least energy solutions to the nonlinear Schrödinger-Bopp-Podolsky system

Gustavo de Paula Ramos

Consider the following nonlinear Schrödinger--Bopp--Podolsky system in $R^{3}$ : \[ \begin{cases} - Δv + v + ϕv = v |v|^{p - 2}; \\ β^2 Δ^2 ϕ- Δϕ= 4 πv^2, \end{cases} \] wher…

math.AP2024

Minimizers of mass-constrained functionals involving a nonattractive point interaction

Gustavo de Paula Ramos

We establish conditions to ensure the existence of minimizer for a class of mass-constrained functionals involving a nonattractive point interaction in three dimensions. The existe…

math.AP2024

On the existence of ground states to Hartree-type equations in $R^{3}$ with a delta potential

Gustavo de Paula Ramos

Consider the Hartree-type equation in $R^{3}$ with a delta potential formally described by $i \partial_{t} ψ = - Δ_{x} ψ + α δ_{0} ψ - (I_{β} * ∣ ψ ∣^{p}) ∣ ψ ∣^{p - 2} ψ$ where $α\in \m…

Sign-changing multi-peak standing waves of the NLSE with a point interaction

Asymptotic profile of least energy solutions to the nonlinear Schrödinger-Bopp-Podolsky system

Minimizers of mass-constrained functionals involving a nonattractive point interaction

On the existence of ground states to Hartree-type equations in R3 with a delta potential

On the existence of ground states to Hartree-type equations in $R^{3}$ with a delta potential