Accepted/Published Papers 

1. [DOI] Some results on the asymptotic density of sets of natural numbers, The Ramanujan Journal , 2025 (with V. L. Vieira and M. Aires)

2. [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]

3. [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)

4. [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]

5. [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) 

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

7. [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) 

Preprints

1. Spectral-Threshold and Normalized Solutions for Nonlinear Elliptic Equations on Finite Weighted Graphs, 2025 (with Chao Ji and Olímpio H. Miyagaki)

2. Breve Discussão Sobre Densidade Assintótica de Conjuntos de Números Naturais, 2025 (with V. L. Vieira and M. Aires)

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

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

Work in Progress

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

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

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

Theses and Dissertations 

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

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

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

Papers in Portuguese

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

2. [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]

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