28 citations · 35 across the 8 of their papers we have counts for
8 papers
Sign-changing multi-peak standing waves of the NLSE with a point interaction
Gustavo de Paula Ramos
Consider the following semilinear problem with a point interaction in : \[- Δ_αu + ωu = u |u|^{p - 2},\] where ; ; denotes the Hamiltoni…
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 : \[ \begin{cases} - Δv + v + ϕv = v |v|^{p - 2}; \\ β^2 Δ^2 ϕ- Δϕ= 4 πv^2, \end{cases} \] wher…
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…
On the existence of ground states to Hartree-type equations in with a delta potential
Gustavo de Paula Ramos
Consider the Hartree-type equation in with a delta potential formally described by where $α\in \m…
Cluster semiclassical states of the nonlinear Schrödinger-Bopp-Podolsky system
Gustavo de Paula Ramos
Consider the following nonlinear Schrödinger-Bopp-Podolsky system in : $$ \begin{cases} -\varepsilon^2 Δu + (V + ϕ) u = u |u|^{p-1}; \\ a^2 Δ^2 ϕ- Δϕ= 4 πu^2, \end{ca…
Concentrated solutions to the Schrödinger--Bopp--Podolsky system with a positive potential
Gustavo de Paula Ramos
Consider the Schrödinger--Bopp--Podolsky system \[ \begin{cases} -ε^2Δu+(V+Kϕ)u=u|u|^{p-1};\newline Δ^2ϕ-Δϕ=4πK u^2 \end{cases} ~\text{in}~\mathbb{R}^3 \] for sufficiently small $ε…
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold
Gustavo de Paula Ramos
We employ the photography method to obtain a lower bound for the number of solutions to a nonlinear elliptic problem on a Riemannian orbifold in function of the Lusternik--Schnirel…
Existence and limit behavior of least energy solutions to constrained Schrödinger-Bopp-Podolsky systems in
Gustavo de Paula Ramos, Gaetano Siciliano
Consider the following Schrödinger-Bopp-Podolsky system in under an -norm constraint, \[ \begin{cases} -Δu + ωu + ϕu = u|u|^{p-2},\newline -Δϕ+ a^2Δ^2ϕ=4πu^2,\n…