Publications (M. C. Pereira)

Articles

53. M. C. Pereira and L. Pires. Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and C1 variation of the domain. J. Evol. Equ. 24, 5 (2024). https://doi.org/10.1007/s00028-023-00934-7

52. J. C. Nakasato and M. C. Pereira. Quasilinear problems with nonlinear boundary conditions in higher dimensional thin domains with corrugated boundaries. Advanced Nonlinear Studies, v. 23, p. 20230101, 2023.

51. Rafael D. Benguria, Marcone C. Pereira and Mariel Saez, The Hadamard formula for nonlocal eigenvalue problems. Math. Ann. (2023). https://doi.org/10.1007/s00208-023-02673-z

50. Jean C. Nakasato, Igor Pazanin and Marcone C. Pereira, On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary. J. of Math. Anal. and Applications, v. 524, p. 127062, 2023.

49. Larissa M. Sartori, Marcone C. Pereira, Sergio M. Oliva, Time-Scale Analysis and Parameter Fitting for Vector-Borne Diseases with Spatial Dynamics. Bull. of Math. Biology, v. 84, p. 84:124, 2022. (pdf)

48. Monia Capanna, Jean C. Nakasato, Marcone C. Pereira and Julio D. Rossi, Homogenization for nonlocal evolution problems with three different smooth kernels. J Dyn Diff Equat (2023). https://doi.org/10.1007/s10884-023-10248-4 (pdf)

47. J. C. Nakasato and M. C. Pereira. The p-Laplacian in thin channels with locally periodic roughness and different scales. Nonlinearity, v. 35, p. 2474-2512, 2022. (pdf)

46. J. C. Nakasato and M. C. Pereira. An optimal control problem in a tubular thin domain with rough boundary. J. of Diff. Equations 313 (2022) 188-243. (pdf)

45. Rafael D. Benguria and Marcone C. Pereira, Remarks on the spectre of a nonlocal Dirichlet problem. Bull. Lon. Math. Society 53 (2021) 2777-2808. (pdf)

44. Monia Capanna, Jean C. Nakasato, Marcone C. Pereira and Julio D. Rossi, Homogenization for nonlocal problems with smooth kernels. DCDS v. 41, p. 2777-2808, 2021. (pdf)

43. Jean C. Nakasato, Igor Pazanin and Marcone C. Pereira, Roughness-induced effects on the convection-diffusion-reaction problem in a thin domain, Applicable Analysis , v. 100, p. 1107-1120, 2021. (pdf)

42. José M. Arrieta, Jean C. Nakasato and Marcone C. Pereira, The p-Laplacian equation in thin domains: The unfolding approach. J. of Diff. Eq. 274 (15) (2021) 1-34. (pdf)

41. Marcone C. Pereira and Silvia Sastre-Gomez, Nonlocal and nonlinear evolution equations in perforated domains. J. Math. Anal. Appl. 495 (2) (2021) 124729. (pdf)

40. Jean C. Nakasato, Igor Pazanin and Marcone C. Pereira, Reaction–diffusion problem in a thin domain with oscillating boundary and varying order of thickness. Z. Angew. Math. Phys. (2021) 72:5 (pdf)

39. J. C. Nakasato, M. C. Pereira. A classical approach for the p-laplacian in oscillating thin domains. Topological Methods in Nonlinear Analysis 58 (2021) 209-231. (pdf)

38. Jaqueline da C. Ferreira and Marcone C. Pereira, A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions. Comptes Rendus Mathématique Tome 358 (2020) no. 11-12, pp. 1119-1128. (pdf)

37. Marcone C. Pereira, Sergio Oliva and Larissa M. Sartori, Time-scale analysis non-local diffusion systems, applied to disease models. Math. Meth. in Appl. Science 43 (15) (2020) 8632-8643. (pdf)

36. Ariadne Nogueira, Jean C. Nakasato and Marcone C. Pereira, Concentrated reaction terms on the boundary of rough domains for a quasilinear equation. Appl. Math. Letters 102 (2020) 106120. (pdf)  

35. Marcone C. Pereira, Julio D. Rossi and Nicolás Saintier, Fractional problems in thin domains, Nonlinear Analysis 193 (2020) 111471. (pdf)

34. Marcone C. Pereira and Julio D. Rossi, Nonlocal problems in perforated domains, Proc. A Royal Soc. Edinburgh 150 (2020) 305-335. (pdf)

33. José M. Arrieta, Ariadne Nogueira and Marcone C. Pereira, Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary, Discrete and Continuous Dyn. Systems - Series B 24(8) (2019) 4217-4246. (pdf)

32. José M. Arrieta, Ariadne Nogueira and Marcone C. Pereira, Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries, Computers & Mathematics with Applications 77 (2019) 536-554. (pdf)

31. M. C. Pereira, Nonlocal evolution equations in perforated domains. Math. Methods Appl. Sciences 41 (2018) 6368-6377. (pdf)

30. Marcone C. Pereira and Julio D. Rossi, Nonlocal evolution problems in thin domains, Applicable Analysis 97 (2018) 2059-2070. (pdf)

29. Pedro T. P. Lopes and Marcone C. Pereira, Nonautonomous Dirichlet-to-Neumann operators with form methods, J. of Math. Analysis and Appl. v. 465, p. 379-402 (2018). (pdf)

28. Igor Pazanin and Marcone C. Pereira, On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption, Comm. Pure and Appl. Analysis v. 17, p. 579-592 (2018). (pdf)

27. Marcone C. Pereira and Julio D. Rossi, An obstacle problem for nonlocal equations in perforated domains, Potential Analysis v. 48, p. 361-373 (2018). (pdf)

26. Marcone C. Pereira and Julio D. Rossi, Nonlocal problems in thin domains, J. of Diff. Equations v. 263 (2017) 1725-1754. (pdf)

25. Pricila S. Barbosa, Antônio L. Pereira and Marcone C. Pereira, Continuity of attractors for a family of C^1-perturbations of the square,  Annali di Matematica Pura ed Applicata v. 196 (2017) 1365-1398. (pdf)

24. Igor Pazanin, Marcone C. Pereira and Francisco J. Suárez - Grau, Asymptotic Approach to the Generalized Brinkman’ s Equation with Pressure - Dependent Viscosity and Drag Coefficient, J. of Appl. Fluid Mech. 9 (6) (2016) 3101-3107.

23. Marcone C. Pereira, Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains, Zeitschrift fur Angewandte Mathematik und Physik, 67 (2016) 1-14. (pdf)

22. Saulo R. M. Barros and Marcone C. Pereira, Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary, J. of Math. Analysis and Appl. 441 (1) (2016) 375-392. (pdf)

21. Marcone C. Pereira and Ricardo P. da Silva, Remarks on the p-Laplacian on thin domains, Progress in Nonlinear Diff. Eq. and Their Appl.(2015) 389-403. (pdf)

20. Marcone C. Pereira and Ricardo P. da Silva, Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure, Quarterly of Applied Mathematics 73 (2015) 537-552. (pdf)

19. Marcone C. Pereira, Parabolic problems in highly oscillating thin domains, Annali di Matematica Pura ed Applicata v. 194 (2015) 1203-1244. (pdf)

18. Gleiciane S. Aragão, Antônio L. Pereira and Marcone C. Pereira, Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary, Journal of Dynamics and Differential Equations v .26 (4) (2014) 871-888. (pdf)

17. José M. Arrieta and Marcone C. Pereira, Thin domain with extremely high oscillatory boundaries, Journal of Mathematical Analysis and Applications 404 1 (2013) 86-104. (pdf)

16. Marcone C. Pereira, Remarks on Semilinear Parabolic Systems with terms concentrating in the boundary, Nonlinear Analysis Series B: Real World Applications 14 4 (2013) 1921-1930.

15. Marcone C. Pereira and Ricardo P. da Silva, Error estimatives for a Neumann problem in highly oscillating thin domain, Discrete and Contiuous Dynamical Systems 33 (2013) 803-817.

14. Gleiciane S. Aragão, Antônio L. Pereira and Marcone C. Pereira, A nonlinear elliptic problem with terms concentrating in the boundary, Mathematical Methods in the Applied Sciences 35 (2012) 1110-1116. (pdf)

13. Marcone C. Pereira and Ricardo P. da Silva, Rates of Convergence for a Homogenization Problem in Highly Oscillating Thin Domains, Proceeding of Dynamic Systems and Applications 6 (2012) 337-340.

12. José M. Arrieta and Marcone C. Pereira, Homogenization in a thin domain with an oscillatory boundary, Journal de Mathématiques Pures et Appliquées. 96 (2011) 29-57. (pdf)

11. José M. Arrieta, Alexandre N. Carvalho, Marcone C. Pereira and Ricardo P. da Silva, Semilinear parabolic problems in thin domains with a highly oscillatory boundary, Nonlinear Analysis 74 (2011) 5111-5132. (pdf)

10. José M. Arrieta and Marcone C. Pereira, Elliptic problems in thin domains with highly oscillating boundary, Boletín de la Sociedade Española de Matemática Aplicada 51 (2010) 17-24.

9. Rita C. D. S. Broche and Marcone C. Pereira, Generic hyperbolicity of stationary solutions of a reaction - diffusion system, Nonlinear Analysis 72 (2010) 4638-4648.

8. Antônio L. Pereira and Marcone C. Pereira, An eigenvalue problem for the biharmonic operator on Z2 - symmetric regions, Journal of the London Mathematical Society v.(2) 77 (2008) 424-442.

7. Antônio L. Pereira and Marcone C. Pereira, Continuity of attractors for a reaction-diffusion problem with nonlinear boundary conditions with respect to variations of the domain, Journal of Differential Equations 239/2 (2007) 343-370.

6. M. C. Pereira, Generic simplicity of the eigenvalues for a supported plate equation, Nonlinear Analysis 67 (2007) 889-900.

5. Antônio L. Pereira and Marcone C. Pereira, Generic simplicity for the solutions of a nonlinear plate equation, Progress in Nonlinear Differential Equations and Their Aplications 66 (2006) 443-463.

4. L. A. F. de Oliveira, A. L. Pereira and M. C. Pereira, Continuity of attractors for a reaction - diffusion problem with respect to variation of domain, Electr.Journ.Differ.Equation 100 (2005) 1-18.

3. Antônio L. Pereira and Marcone C. Pereira, An extension of the method of rapidly oscillating solutions, Matemática Contemporânea SBM 27 (2004) 225-241.

2. M. C. Pereira, Generic simplicity for the eigenvalues of the Dirichlet problem for the Bilaplacian, Electr. Jour. Differ. Equation 114 (2004) 1-21.

1. Antônio L. Pereira and Marcone C. Pereira, A Generic Property for the eigenfunctions of the Laplacian, Topological Methods in Nonlinear Analysis 20 (2002) 283-313.

Thesis

Perturbação de contorno do problema de Dirichlet para o Bilaplaciano. Tese apresentada ao Instituto de Matemática e Estatística da Universidade de São Paulo (2004).  Orientador : Antônio L. Pereira. (pdf)

Others

1. José M.Arrieta, Alexandre N.Carvalho, Marcone C.Pereira and Ricardo P.da Silva, Upper semicontinuity of attractors for a parabolic problems on thin domains with a highly oscillatory boundary.III Encontro Nacional de Análise Matemática e Aplicações, Maringá - Paraná, 2009.

2. José M.Arrieta and Marcone C.Pereira, Homogenization in thin domains. IV Encontro Nacional de Análise Matemática e Aplicações, Belém - Pará, 2010.

3. Rufino, P.O.; Honda, W.; Digampietri, L.A.; Pereira, M.C .. A Parallel PCA Neural Network Approach for Feature Extraction.In : X Congresso Brasileiro de Inteligência Computacional (CBIC 2011), 2011, Fortaleza.Anais do X Congresso Brasileiro de Inteligência Computacional (CBIC 2011), 2011.

4. Marcone C.Pereira, Domínios Finos e reações concentradas na fronteira. VIII Encontro Nacional de Análise Matemática e Aplicações, Recife - PE, 2014.

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