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Grupos de tranças de superfícies e espaços de recobrimento
(Universidade Federal de São Carlos, 2021-08-09)
Given M a compact and connected surface without boundary, we define the braid groups of M, denoted by B_n(M), geometrically. We also explore its relation with the configuration space and the mapping class group of the same ...
Soluções normalizadas para equações de Schrödinger de massa supercrítica com potencial
(Universidade Federal de São Carlos, 2024-08-05)
In this work, we are interested in proving the existence of normalized solutions to the Schrödinger equation -∆u+V(x)u+λu=|u|^(p-2)u, in R^N, in the supercritical mass case and subcritical Sobolev case, 2+4/N < p < 2^* ...