Comportamiento asintótico y dinámica de ecuaciones diferenciales
CADEDIF
Universidade de São Paulo
São Paulo, BrasilPublicacións en colaboración con investigadores/as de Universidade de São Paulo (26)
2025
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Homogenization in 3D thin domains with oscillating boundaries of different orders
Nonlinear Analysis, Theory, Methods and Applications, Vol. 251
2024
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BIFURCATION AND HYPERBOLICITY FOR A NONLOCAL QUASILINEAR PARABOLIC PROBLEM
Advances in Differential Equations, Vol. 29, Núm. 1-2, pp. 1-26
2021
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The p-Laplacian equation in thin domains: The unfolding approach
Journal of Differential Equations, Vol. 274, pp. 1-34
2019
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Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary
Discrete and Continuous Dynamical Systems - Series B, Vol. 24, Núm. 8, pp. 4217-4246
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Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries
Computers and Mathematics with Applications, Vol. 77, Núm. 2, pp. 536-554
2013
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Rate of convergence of global attractors of some perturbed reaction-diffusion problems
Topological Methods in Nonlinear Analysis, Vol. 41, Núm. 2, pp. 229-253
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The Neumann problem in thin domains with very highly oscillatory boundaries
Journal of Mathematical Analysis and Applications, Vol. 404, Núm. 1, pp. 86-104
2012
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Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations
Journal of Dynamics and Differential Equations, Vol. 24, Núm. 3, pp. 427-481
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The tangential variation of a localized flux-type eigenvalue problem
Journal of Differential Equations, Vol. 252, Núm. 3, pp. 2104-2130
2011
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Homogenization in a thin domain with an oscillatory boundary
Journal des Mathematiques Pures et Appliquees, Vol. 96, Núm. 1, pp. 29-57
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Semilinear parabolic problems in thin domains with a highly oscillatory boundary
Nonlinear Analysis, Theory, Methods and Applications, Vol. 74, Núm. 15, pp. 5111-5132
2010
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Cascades of Hopf bifurcations from boundary delay
Journal of Mathematical Analysis and Applications, Vol. 361, Núm. 1, pp. 19-37
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Elliptic problems in thin domains with highly oscillating boundaries
SeMA Journal, Vol. 51, Núm. 1, pp. 17-24
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On the supercriticality of the first Hopf bifurcation in a delay boundary problem
International Journal of Bifurcation and Chaos
2009
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Dynamics in dumbbell domains II. The limiting problem
Journal of Differential Equations, Vol. 247, Núm. 1, pp. 174-202
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Dynamics in dumbbell domains III. Continuity of attractors
Journal of Differential Equations, Vol. 247, Núm. 1, pp. 225-259
2007
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Atractores en dominios tipo dumbbell
XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas
2006
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Dynamics in dumbbell domains I. Continuity of the set of equilibria
Journal of Differential Equations, Vol. 231, Núm. 2, pp. 551-597
2004
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Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
Journal of Differential Equations, Vol. 199, Núm. 1, pp. 143-178
2000
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Abstract parabolic problems with critical nonlinearities and applications to navier-stokes and heat equations
Transactions of the American Mathematical Society, Vol. 352, Núm. 1, pp. 285-310