| A damped hyerbolic equation with critical exponent JM Arrieta, AN Carvalho, JK Hale Communications in Partial Differential Equations 17 (5-6), 841-866, 1992 | 247 | 1992 |
| Parabolic problems with nonlinear boundary conditions and critical nonlinearities JM Arrieta, AN Carvalho, A Rodrı́guez-Bernal journal of differential equations 156 (2), 376-406, 1999 | 202 | 1999 |
| Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations JM Arrieta, AN Carvalho Transactions of the American Mathematical Society 352 (1), 285-310, 2000 | 201 | 2000 |
| Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds: Uniform Bounds JM Arrieta, AN Carvalho, A Rodríguez-Bernal Communications in Partial Differential Equations 25 (1-2), 1-37, 2000 | 191 | 2000 |
| Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain JM Arrieta, AN Carvalho Journal of Differential Equations 199 (1), 143-178, 2004 | 133 | 2004 |
| Dynamics in dumbbell domains I. Continuity of the set of equilibria JM Arrieta, AN Carvalho, G Lozada-Cruz Journal of Differential Equations 231 (2), 551-597, 2006 | 114 | 2006 |
| Linear parabolic equations in locally uniform spaces JM Arrieta, A Rodriguez-Bernal, JW Cholewa, T Dlotko Mathematical Models and Methods in Applied Sciences 14 (02), 253-293, 2004 | 108 | 2004 |
| Semilinear parabolic problems in thin domains with a highly oscillatory boundary JM Arrieta, AN Carvalho, MC Pereira, RP Silva Nonlinear Analysis: Theory, Methods & Applications 74 (15), 5111-5132, 2011 | 97 | 2011 |
| Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains JM Arrieta, JW Cholewa, T Dlotko, A Rodrı́guez-Bernal Nonlinear Analysis: Theory, Methods & Applications 56 (4), 515-554, 2004 | 97 | 2004 |
| Dynamics in dumbbell domains II. The limiting problem JM Arrieta, AN Carvalho, G Lozada-Cruz Journal of Differential Equations 247 (1), 174-202, 2009 | 83 | 2009 |
| Dynamics in dumbbell domains III. Continuity of attractors JM Arrieta, AN Carvalho, G Lozada-Cruz Journal of Differential Equations 247 (1), 225-259, 2009 | 81 | 2009 |
| Magnetic properties of diruthenium (II, III) carboxylate compounds with large zero-field splitting and strong antiferromagnetic coupling R Jiménez-Aparicio, FA Urbanos, JM Arrieta Inorganic chemistry 40 (4), 613-619, 2001 | 78 | 2001 |
| Neumann eigenvalue problems on exterior perturbations of the domain JM Arrieta Journal of differential equations 118 (1), 54-103, 1995 | 77 | 1995 |
| Homogenization in a thin domain with an oscillatory boundary JM Arrieta, MC Pereira Journal de mathématiques pures et appliquées 96 (1), 29-57, 2011 | 70 | 2011 |
| Eigenvalue problems for nonsmoothly perturbed domains JM Arrieta, JK Hale, Q Han Journal of differential equations 91 (1), 24-52, 1991 | 62 | 1991 |
| Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions JM Arrieta, AN Carvalho, A Rodríguez-Bernal Journal of Differential Equations 168 (1), 33-59, 2000 | 59 | 2000 |
| Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary JM Arrieta, A Jiménez-Casas, A Rodríguez-Bernal Revista Matemática Iberoamericana 24 (1), 183-211, 2008 | 57 | 2008 |
| Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena JM Arrieta, A Rodriguez-Bernal, P Souplet Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 3 (1), 1-15, 2004 | 54 | 2004 |
| Rates of eigenvalues on a dumbbell domain. Simple eigenvalue case JM Arrieta Transactions of the American Mathematical Society 347 (9), 3503-3531, 1995 | 54 | 1995 |
| Parabolic problems with nonlinear dynamical boundary conditions and singular initial data JM Arrieta, P Quittner, A Rodríguez-Bernal Differential and Integral Equations 14 (12), 1487-1510, 2001 | 53 | 2001 |
Anibal Rodriguez-BernalProfessor of Applied Mathematics, Universidad Complutense, Madrid, SpainVerified email at mat.ucm.es
