Artigos de pesquisa

  • Equivariant bifurcations in a nonlocal evoluton model, (with Andréia S. Coutinho).

  • Existence and continuity of global attractors and nonhomogeneous equilibria for a class of evolution equation with non local terms, (with Flank D. M. Bezerra and Severino H. da Silva), J. Math. Anal. Appl. 396 (2012), no. 2, 590-600.

  • Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary , (with Gleiciane S. Aragão e Marcone C. Pereira) Math. Methods Appl. Sci. 35 (2012), no. 9, 1110-1116.

  • The tangential variation of a localized flux-type eigenvalue problem, (with Rosa Pardo and J. Sabina de Lis) J. Differential Equations 252 (2012), no. 3, 2104-2130.

  • Exponential trichotomies and continuity of invariant manifolds. (with Severino Horácio da Silva), São Paulo J. Math. Sci. 5 (2011), no. 2, 11-134.

  • Stability Analysis with applications of a two-dimensional dynamical system arising from a stochastic model for an asset market (with Vladimir Belitsy and Fernando P. de Almeida Prado), Stoch. Dyn. 11 (2011), no. 4, 715-752.
  • Continuity of global attractors for a class of nonlocal evolution equations, (with Severino Horácio da Silva), Discrete Contin. Dyn. Syst. 26 (2010), no. 3, 1073-1100.

  • Global attractors for neural fields in a weighted space (with Severino Horácio da Silva), Mat. Contemp. 36 (2009), 139-153.

  • Existence of global attractors and gradient property for a class of nonlocal evolution equations (with Severino Horácio da Silva), São Paulo J. Math. Sci. 2 (2008), no. 1,1-20.

  • An eigenvalue problem for the biharmonic operator on Z2-symmetric regions, (with Marcone C. Pereira), J. Lond. Math. Soc. (2) 77 (2008), no. 2, 424-442..

  • Continuity of attractors for a reaction diffusion problem with nonlinear boundary conditions with respect to variations of the domain, (with Marcone C. Pereira) J. Differential Equations 239 (2007), no. 2, 343-370.

  • Global attractor and non homogeneous equilibria for a non local evolution equation in an unbounded domain J. Differential Equations 226 (2006), no. 1, 352-372.

  • Pereira, A. L.; Pereira, M. C. Generic simplicity for the solutions of a nonlinear plate equation. Contributions to nonlinear analysis, 443â463, Progr. Nonlinear Differential Equations Appl., 66, Birkhäuser, Basel, 2006

  • De Oliveira, Luiz A. F.; Pereira, Antônio L.; Pereira, Marcone C. Continuity of attractors for a reaction-diffusion problem with respect to variations of the domain. Electron. J. Differential Equations 2005, No. 100, 18 pp. (electronic).

  • Antônio L.; Pereira, Marcone C. An extension of the method of rapidly oscillating solutions. Mat. Contemp. 27 (2004).

  • Generic hyperbolicity for the equilibria of the one-dimensional parabolic equation ut = (a(x)ux)x + f(u) (2004).

  • Esteves, Luis G.; Wechsler, Sergio; Iglesias, Pilar L.; Pereira, Antônio L. A variant version of the Pólya-Eggenberger urn model. Bayesian statistics, 7 (Tenerife, 2002).

  • de Cássia D. S. Broche, Rita; de Oliveira, L. Augusto F.; Pereira, Antônio L. Global attractor for an equation modelling a thermostat. Electron. J. Differential Equations 2003, No. 100, 7 pp. (electronic).

  • Spatially periodic equilibria for a nonlocal evolution equation, (with S.M. Barros, C. Possani and A. Simonis) (2003).

  • Pereira, Antônio Luiz; Pereira, Marcone Corrêa A generic property for the eigenfunctions of the Laplacian. Topol. Methods Nonlinear Anal. 20 (2002), no. 2, 283â313.

  • Oliva, Sergio Muniz; Pereira, Antônio Luiz Attractors for parabolic problems with nonlinear boundary conditions in fractional power spaces. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 9 (2002), no. 4, 551â562.

  • Corrêa Eidam, J. C.; Pereira, A. L.; Piccione, P.; Tausk, D. V. On the equality between the Maslov index and the spectral index for the semi-Riemannian Jacobi operator. J. Math. Anal. Appl. 268 (2002), no. 2, 564â589

  • Pereira, Antônio L.; de Oliveira, Luiz A. F. Invariant manifolds and limiting equations for a hyperbolic problem. Dynam. Contin. Discrete Impuls. Systems 7 (2000), no. 4, 503â524

  • Upper semicontinuity of attractors for a hyperbolic equation, ,/a> (with Luiz A. F. Oliveira) (2000).

  • Nonlinear flux trhough the boundary versus nonlinear heating, (with Sergio M. Oliva) (1998).

  • Oliva, Sérgio Muniz; Pereira, Antônio Luiz Attractors for parabolic problems with nonlinear boundary conditions in fractional power spaces. International Conference on Differential Equations (Lisboa, 1995), 453â457, World Sci. Publ., River Edge, NJ, 1998.

  • Carvalho, Alexandre N.; Oliva, Sergio M.; Pereira, Antônio L.; Rodriguez-Bernal, Aníbal Attractors for parabolic problems with nonlinear boundary conditions. J. Math. Anal. Appl. 207 (1997), no. 2, 409-461.

  • Eigenvalues of the Laplacian on symmmetric regions, NoDEA Nonlinear Differential Equations Appl. 2 (1995), no. 1, 63-109.

    Artigos de divulgação

    1. O problema dos bodes.
    2. A prova vazada do Enem: lado B (com Severino Toscano Melo).
    3. Contando áreas (O teorema de Pick) (com Severino Toscano Melo).
    alpereir@ime.usp.br