Transition-Type Solutions for Allen-Cahn Equations

1. Some Results on Heteroclinic Solutions, Work in Progress, 2025 (with Claudianor O. Alves)

2. Existence and Classification of Connecting Orbits in Quasilinear Conservative Systems, Work in Progress, 2024 (with Piero Montecchiari)

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. Existence and Nonexistence of Spectral-Threshold Solutions for Equations on Finite Weighted Graphs, Work in Progress, 2025 (with Chao Ji and Olímpio H. Miyagaki)

2. Existence of Normalized Solutions for Nonlinear Schrödinger Equations on Metric Graphs, Preprint, 2025 (with Claudianor O. Alves)

Ordinary Differential Equations

1. [DOI] Estabilidade de Lyapunov e Aplicações, ReviSeM, 2025. (with Aldo Lourêdo)

2. Solutions with prescribed asymptotic behavior for a class of dissipative systems via Lyapunov method, Work in Progress, 2025 (with Eric B. Santiago and Severino Horácio)

Number Theory

1. Some results on the asymptotic density of sets of natural numbers, Preprint, 2025 (with V. L. Vieira and M. Aires)

2. Breve Discussão Sobre Densidade Assintótica de Subconjuntos de Números Naturais, Work in Progress, 2024 (with V. L. Vieira and M. Aires)

3. [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]

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

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

Functional Analysis

1. Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces, Preprint, 2025 (with Lucas Machado and Josias Baca) [arXvi]