Gustavo de Paula Ramos

collaborators

4 papers

math.AP2026

Symmetry and classification of positive standing waves of nonlinear Hartree type equations

Eduardo de Souza BÃ¶er, Ederson Moreira dos Santos, Gustavo de Paula Ramos

This paper presents some qualitative properties of positive solutions to the strongly coupled system \[ \begin{cases} \displaystyle - Îu + Ïu = \frac{2 p}{p + q} \left( I_Î±\ast…

math.AP2026

Ground states of the defocusing nonlinear SchrÃ¶dinger 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 SchrÃ¶dinger equation with a point interaction, \[ \mathrm{i} \partial_t Ï= -Î_Î±Ï+ Ï|Ï|^{p - 2} \quad \…

math.AP2025

Ground states of the SchrÃ¶dinger 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} - Îu + (V - Ï) u + (K_{a, b}…

math.AP2025

Ground states of the defocusing NLSE with a point interaction

Gustavo de Paula Ramos

Suppose that either (i) $N = 2$ , $I^\pm \in R$ and $p > 2$ or (ii) $N = 3$ , $I^\pm < 0$ and $2 < p < 3$ . We prove that there exists an explicitly computable $Î¼_0 = Î¼_0 (N, Î±, p…

Symmetry and classification of positive standing waves of nonlinear Hartree type equations

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

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