BR

Bruno Henrique Carvalho Ribeiro

Associate Professor · Department of Mathematics · Federal University of Paraíba

CNPq Research Productivity Fellow — Level 2 Partial Differential Equations Variational Methods

About

I am an Associate Professor in the Department of Mathematics at the Federal University of Paraíba, Brazil, and a CNPq Research Productivity Fellow, Level 2. My research focuses on nonlinear elliptic partial differential equations, with emphasis on variational methods, critical growth, eigenvalue problems, Ambrosetti-Prodi type problems, Trudinger-Moser inequalities, and Hamiltonian systems.

I received my Ph.D. in Mathematics from the University of Campinas in 2010. I also hold an M.Sc. in Mathematics from the Federal University of Paraíba. In 2025–2026 I was a postdoctoral visitor at Florida Institute of Technology.

Lattes CV ORCID Google Scholar

Research interests

Nonlinear elliptic PDEs

Variational methods for semilinear and quasilinear elliptic problems, including p-Laplacian type operators and Hamiltonian systems.

Critical growth

Critical Sobolev growth, Trudinger-Moser nonlinearities, exponential critical growth, and loss of compactness phenomena.

Weighted and singular problems

Hénon type equations, singular nonlinearities, weighted embeddings, and Caffarelli-Kohn-Nirenberg type inequalities.

Critical point theory

Mountain pass methods, linking structures, eigenvalue problems, resonance, and cohomological index techniques.

Overview

18

journal articles listed in the current Lattes CV.

3

Ph.D. supervisions, including current and completed work.

31

completed M.Sc. dissertations supervised.

Administrative service

I have served as Head of the Department of Mathematics at UFPB and as Academic Coordinator of PROFMAT/UFPB. I am currently a member of the Undergraduate Program Committee (Núcleo Docente Estruturante – NDE) of the Bachelor's Degree in Mathematics at UFPB.

See administrative and institutional service →

Selected publications

Fractional Schrödinger-Poisson-Slater Equations in Coulomb-Sobolev Spaces
E. Gloss, C. Mercuri, K. Perera, B. Ribeiro. Journal of Geometric Analysis, 2026.
Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions
J. M. do Ó, B. Ribeiro, B. Ruf. Discrete and Continuous Dynamical Systems — Series A, 41, 277–296, 2021.
The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity
B. Ribeiro. Journal of Mathematical Analysis and Applications, 363, 606–617, 2010.

See complete list of publications →

Contact

Department of Mathematics
Federal University of Paraíba
Centro de Ciências Exatas e da Natureza — Campus I
Sala 205, Cidade Universitária
58059-900 — João Pessoa, PB, Brazil

E-mail: bhcr@academico.ufpb.br

Phone: +55 83 3216-7434