Gustavo de Paula Ramos

collaborators

3 papers

math.AP2026

Ground states of the defocusing nonlinear Schrödinger equation with a point interaction in dimensions 2 and 3

Masahiro Ikeda, Gustavo de Paula Ramos

This paper is concerned with ground states of the defocusing nonlinear Schrödinger equation with a point interaction, \[ \mathrm{i} \partial_t ψ= -Δ_αψ+ ψ|ψ|^{p - 2} \quad \text{in…

math.AP2025

Ground states of the Schrödinger equation coupled with fourth-order gravitation -- Part 1: the case $K_{a, b} \leq 0$

Gustavo de Paula Ramos

We are interested in the existence and asymptotic behavior of ground states of the following normalized nonlocal semilinear problem: \[ \begin{cases} - Δu + (V - ω) u + (K_{a, b} \…

math.AP2025

Ground states of the defocusing NLSE with a point interaction

Gustavo de Paula Ramos

Suppose that either (i) $N = 2$ , $α \in R$ and $p > 2$ or (ii) $N = 3$ , $α < 0$ and $2 < p < 3$ . We prove that there exists an explicitly computable $μ_0 = μ_0 (N, α, p) > 0…

Ground states of the defocusing nonlinear Schrödinger equation with a point interaction in dimensions 2 and 3

Ground states of the Schrödinger equation coupled with fourth-order gravitation -- Part 1: the case Ka,b​≤0

Ground states of the defocusing NLSE with a point interaction

Ground states of the Schrödinger equation coupled with fourth-order gravitation -- Part 1: the case $K_{a, b} \leq 0$