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    Desigualdade de Adams do tipo Adimurthi-Druet em todo o espaço Rn
    (Universidade Federal de Goiás, 2025-11-27) Rocha, Fábio Sodré; Macedo, Abiel Costa; http://lattes.cnpq.br/6413790814030608; Macedo, Abiel Costa; Oliveira, José Francisco Alves de; Melo Júnior, José Carlos de Albuquerque; Severo, Uberlandio Batista; Ubilla López, Pedro Eduardo
    Let Wm, n m (R n ) with 1 ≤ m < n be the standard higher order derivative Sobolev space in the critical exponential growth threshold. We investigate a new Adams-Adimurthi-Druet type inequality on the whole space R n which is strongly influenced by the vanishing phenomenon. Specifically, we prove sup u∈Wm, n m (Rn) ∥∇mu∥ n m n m +∥u∥ n m n m ≤1 Rn Φ   β   1 +α∥u∥ n m n m 1−γα∥u∥ n m n m   m n−m |u| n n−m   dx < +∞, where 0 ≤ α < 1, 0 < γ < 1 α − 1 for α > 0, ∇mu is the m-th order gradient for u, 0 ≤ β ≤ β0, with β0 being the Adams critical constant, and Φ(t) = et −∑ jm,n−2 j=0 t j j! with jm,n = min{j ∈ N : j ≥ n/m}. In addition, we prove that the constant β0 is sharp. In the subcritical case β < β0, we investigate both the existence and non-existence of extremal functions for the case n = 2m. In the critical case β = β0, attainability is established for n = 4 and m = 2. Our approach relies on blow-up analysis, together with a truncation method recently introduced by DelaTorre-Mancini [16], and incorporates ideas from Chen-Lu-Zhu [10], who studied the critical Adams inequality in R 4 . Moreover, we generalize these attainability results to arbitrary even dimensions by combining blow-up techniques with a suitable polyharmonic truncation and the construction of refined test functions, in the spirit of [11].
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    Novas faces do desmatamento no Estado de Goiás
    (Universidade Federal de Goiás, 2025-11-25) Teixeira, Lana Mara Silva; Silva, Elaine Barbosa da; http://lattes.cnpq.br/0056241036193048; Miziara, Fausto; http://lattes.cnpq.br/3275079358565458; Silva, Elaine Barbosa da; Ferreira, Nilson Clementino; Ribeiro, Noely Vicente
    Embargado
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    A robótica educacional como apoio à prática docente em matemática: um mapeamento teórico
    (Universidade Federal de Goiás, 2025-12-19) Pereira, Marcos Antonio Alvarenga; Faria, Elisabeth Cristina de; http://lattes.cnpq.br/5007480938176936; Faria, Elisabeth Cristina de; Souza, Marcelo Almeida de; Vieira, Vanda Domingos
    This study presents the use of Educational Robotics as a support tool for teaching practice in Mathematics education. It investigates the potential of Educational Robotics to overcome barriers in the learning of abstract mathematical concepts, often associated with a lack of practical contextualization. The general objective of this work is to identify ways to introduce Educational Robotics into Mathematics classes to assist teachers in teaching abstract content, addressing the central question of how Educational Robotics supports teachers in the teachinglearning process. The methodology employed is characterized as bibliographic research, developed under the modality of Theoretical Mapping, according to the procedures of Biembengut (2008). The theoretical framework articulates Libâneo’s (2013) discussions on the redefinition of the teaching role and the guidelines of the National Common Curricular Base (BNCC), which encourage Computational Thinking and the use of digital technologies in Mathematics teaching. The results of Theoretical Mapping, which analyzed twelve works (10 master's theses and two articles), indicate that, although the potential of Educational Robotics is recognized, most research focuses on the student as the protagonist. Thus, a significant gap was identified in studies and materials aimed directly at teacher support, specifically regarding planning and pedagogical mediation. In view of the identified gap, this dissertation proposes, as an educational product, a Didactic Sequence. This proposal is aligned with the BNCC and structured as a practical guide to assist the teacher in using Educational Robotics for the modeling and visualization of abstract mathematical concepts. It is concluded that Educational Robotics constitutes a viable pedagogical tool and that the developed product seeks to address the scarcity of direct support materials for teachers, facilitating the integration of this technology into pedagogical practice.
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    Perfil dos pacientes submetidos a aplicação de injeção intravítrea de anti-VEGF no Centro de Referência em Oftalmologia do Hospital das Clínicas da Universidade Federal de Goiás entre novembro de 2017 e janeiro de 2021
    (Universidade Federal de Goiás, 2025-09-24) Ximenes, Rodrigo Álvares Salum; Isaac, David Leonardo Cruvinel; http://lattes.cnpq.br/5474072354473614; Isaac, David Leonardo Cruvinel; Ávila, Marcos Pereira de; Mendonça, Luísa Salles de Moura
    Embargado
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    Análise das incompatibilidades urbanas no uso e ocupação nas imediações do rio Meia Ponte em Goiânia
    (Universidade Federal de Goiás, 2025-09-30) Paula, Felipe Veloso de; Kallas, Luana Miranda Esper; http://lattes.cnpq.br/5020008366113739; Kallas, Luana Miranda Esper; Salas, Juan Carlos Guillen; Resende, Sandra Catharinne Pantaleão
    This study analyzes the urban incompatibilities of land use and occupation in the vicinity of the Meia Ponte Riverin Goiânia, Goiás, exploring the impact of this on the infrastructure and urban fabric of the city. Focusing on the tension between urban expansion and the conservation of natural resources, the study highlights the relevance of land use and occupation legislation and public policies aimed at reducing these incompatibilities. Assessing the effectiveness of these policies in controlling environmental degradation and pollution, the research suggests the need for legislative revisions and urban management strategies adapted to the particularities of Goiânia. It proposes a critique of current urban planning parameters, recommending more sustainable and inclusive practices. The goal is to contribute to planning that promotes economic growth alongside the conservation of natural resources, emphasizing the importance of integrated policies that consider social, economic, and environmental aspects in urban management.