Filipe Oliveira

activity

20102023

most citedWeighted EGZ Constant for p-groups of rank 2

3 citations · 11 across the 13 of their papers we have counts for

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Showing 2018Show all

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math.NT2018★ 3 cited

Weighted EGZ Constant for p-groups of rank 2

Filipe Oliveira, Abílio Lemos, Hemar Godinho

Let $G$ be a finite abelian group of exponent $n$ , written additively, and let $A$ be a subset of $Z$ . The constant $s_{A} (G)$ is defined as the smallest integer $ℓ$ such…

math.AP2018

On a Schrödinger system arizing in nonlinear optics

Filipe Oliveira, Ademir Pastor

We study the nonlinear Schrödinger system \[ \begin{cases} \displaystyle iu_t+Δu-u+(\frac{1}{9}|u|^2+2|w|^2)u+\frac{1}{3}\overline{u}^2w=0,\\ i\displaystyle σw_t+Δw-μw+(9|w|^2+2|u|…