Raoní Cabral Ponciano

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Universidade Federal do ABC (UFABC). Centro de Matemática, Computação e Cognição (CMCC) (Institutional affiliation from the last research proposal)
Birthplace: Brazil

He holds a degree in Mathematics from the Universidade Federal da Paraíba (2017), a specialization in the Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio (2018), and a master's degree in Mathematics from the Universidade Federal da Paraíba (2019). Has completed the doctorate at Universidade Federal da Paraíba through the program: Programa de Pós-graduação em Matemática (PPGMAT) with a sandwich period at the University of Connecticut. He is currently doing a postdoctoral fellowship at FAPESP at UFABC under the supervision of Professor Stefano Nardulli. I am interested in working in the subfields of Nonlinear Analysis, Elliptic Partial Differential Equations, and Geometric Analysis. If you want my contact, here is my email: raoni.ponciano@ufabc.edu.br. (Source: Lattes Curriculum)

News published in Agência FAPESP Newsletter about the researcher

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Scholarships in Brazil

Completed (most recent)

Abstract
In this project, we would like to research the Van der Waals-Allen-Cahn-Hilliard equation and obtain multiple solutions for the systems involving this equation with a volume constraint using a photography map. One of our goals is to develop a Sobolev inequality with weights for non-radial functions using a weighted isoperimetric inequality. Also, we would appreciate developing some inequa…
Multiplicity solutions and qualitative properties for some classes of nonlinear elliptic equations and Sobolev embeddings on limit case, BP.PD

Scholarships abroad

Ongoing (most recent)

Abstract
This BEPE project outlines the scientific articles we plan to develop under the guidance of the esteemed researcher Aldo Pratelli from the Università di Pisa. Our goal is to bring to S\~ao Paulo the advanced techniques from his expertise in Geometric Measure Theory. Specifically, we aim to establish diameter bounds for small-volume isoperimetric clusters on Riemannian and Finsler manifold…
Isoperimetric Clusters on Riemannian and Finsler Manifolds: Properties and Applications via the Photographic Method, BE.EP.PD

Virtual Library in numbers * Updated data on August 16, 2025

Total / Available in English

1 / 1	Completed scholarships in Brazil
1 / 1	Ongoing scholarships abroad
2 / 2	All Scholarships

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Keywords used by the researcher

Mathematics Physical Sciences and Mathematics

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