Transition-Type Solutions for Allen-Cahn Equations

1. [DOI] Conexiones heteroclínicas para ecuaciones de doble pozo: Perfiles explícitos y construcciones variacionales, IV Seminario Internacional de Análisis No Lineal y Aplicaciones, Universidad Nacional de Trujillo, Peru, 2026. [Official version] 

2. [DOI] Prescribed-Energy Connecting Orbits for Quasilinear Conservative Systems, Journal of Differential Equations, 479, 114667, 2026 (with Piero Montecchiari) [arXvi]

3. [DOI] Uniqueness of heteroclinic solutions in a class of autonomous quasilinear ODE problems, Analysis and Applications, 23, no. 07, 1093-1128, 2025 (with C. O. Alves and P. Montecchiari) [arXiv]

4. [DOI] Saddle solutions for Allen-Cahn type equations involving the prescribed mean curvature operator, Milan Journal of Mathematics, 93, 221-261, 2025 (with César E. Torres Ledesma)

5. [DOI] Heteroclinic solutions for some classes of prescribed mean curvature equations in whole R^2, Nonlinear Differential Equations and Applications, 31, 71, 2024 (with C. O. Alves) [arXvi]

6. [DOI] Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole R^2, Communications in Contemporary Mathematics, V. 26(2), 2024 (with C. O. Alves and  P. Montecchiari) 

7. [DOI] Existence of heteroclinic solutions for the prescribed curvature equation. Journal of Differential Equations, v. 362, p. 484-513, 2023 (with C. O. Alves)

8. [DOI] Existence of saddle-type solutions for a class of quasilinear problems in R^2, Topological Methods in Nonlinear Analysis, Online. 16 July 2023. V. 61(2) pp. 825 - 868 (with C. O. Alves and P. Montecchiari) 

9. [PDF] Transition type solutions for some classes of quasilinear elliptic Allen-Cahn equations. Phd thesis, UFCG/UFPB, Campina Grande, 2023. 

10. [PDF] Existência de soluções heteroclínicas para algumas classes de equações elípticas semilineares. Master Dissertation, UFCG, Campina Grande, 2020. 

Equations on Metric and Weighted Graphs

1. Spectral structure and normalized solutions for the Phi-Laplacian on finite weighted graphs, Preprint, 2026 (with Leandro Del Pezzo)

2. [DOI] Spectral-Threshold and Normalized Solutions for Nonlinear Elliptic Equations on Finite Weighted Graphs, Applied Mathematics and Optimization, 93, no. 2, p. 49, 2026 (with Chao Ji and Olímpio H. Miyagaki)

3. Existence of Normalized Solutions for Nonlinear Schrödinger Equations on Metric Graphs, Preprint, 2026 (with Claudianor O. Alves)

Nonlinear Elliptic Equations and Variational Problems 

1. Existence of normalized solutions for Euclidean bosonic equations with Choquard-type nonlinearity, Preprint, 2026 (with César E. T. Ledesma and Alânnio B. Nóbrega).

Ordinary Differential Equations

1. Asymptotic behavior and existence of homoclinic solutions for damped second-order gradient systems, Preprint, 2026 (with Eric B. Santiago and Severino Horácio)

2. [DOI] Estabilidade de Lyapunov e Aplicações, ReviSeM, 10(2), 31-61, 2025. (with Aldo Lourêdo)

Number Theory

1. On Asymptotic Density via Gaps and Regular Parametrizations, Work in Progress, 2026 (with Georges Grekos and David Levi) 

2. Breve Discussão Sobre Densidade Assintótica de Conjuntos de Números Naturais, Preprint, 2026 (with V. L. Vieira and M. Aires)

3. [DOI] Some results on the asymptotic density of sets of natural numbers, The Ramanujan Journal, 68, no. 116, 1-25, 2025 (with V. L. Vieira and M. Aires)

4. [DOI] Uma prova da irracionalidade de \sqrt[2n]{p}, em que p é primo, por meio da Teoria dos Resíduos Quadráticos, ReviSeM, 9(1), 22-37, 2024.  (with V. L. Vieira and M. Aires) [arXiv]

5. [PDF] Infinidade dos triplos pitagóricos primitivos, Revista LER - Leituras Sociais e Contemporâneas, v. 1, p. 37-40, 2018. 

6. [PDF] Resíduos Quadráticos. Final Paper, UEPB, Campina Grande, 2017. 

Functional Analysis

1. Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces,Work in Progress, 2025 (with Lucas Machado and Josias Baca)

Expository and Historical Notes 

1. [DOI] On the origin of the Gibbons conjecture, Latin American Journal of Mathematics, 5, no. 1, 105-110, 2026 [arXvi]

2. Modelos Matemáticos para Programas de Cashback, 2026 (with Luiz Medeiros)