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 | 205 | 1999 |
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 | 194 | 2000 |
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 | 109 | 2004 |
Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: dissipativity and blow-up A Rodríguez Bernal, A Tajdine Elsevier, 2001 | 109 | 2001 |
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 |
Attractors for partly dissipative reaction diffusion systems in Rn A Rodriguez-Bernal, B Wang Journal of Mathematical Analysis and Applications 252 (2), 790-803, 2000 | 85 | 2000 |
Attractors for parabolic problems with nonlinear boundary conditions AN Carvalho, SM Oliva, AL Pereira, A Rodriguez-Bernal Journal of Mathematical Analysis and Applications 207 (2), 409-461, 1997 | 69 | 1997 |
Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions JM Arrieta, AN Carvalho, A Rodriguez-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 | 57 | 2008 |
Parabolic problems with nonlinear dynamical boundary conditions and singular initial data JM Arrieta, P Quittner, A Rodríguez-Bernal | 55 | 2001 |
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 |
Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data A Rodrı́guez-Bernal Journal of Differential Equations 181 (1), 165-196, 2002 | 51 | 2002 |
Dynamics of a reaction–diffusion equation with a discontinuous nonlinearity JM Arrieta, A Rodríguez-Bernal, J Valero International Journal of Bifurcation and Chaos 16 (10), 2965-2984, 2006 | 50 | 2006 |
Inertial manifolds for dissipative semiflows in Banach spaces A Rodriguez Bernal Applicable Analysis 37 (1-4), 95-141, 1990 | 49 | 1990 |
Pullback attractors and extremal complete trajectories for non-autonomous reaction–diffusion problems JC Robinson, A Rodríguez-Bernal, A Vidal-López Journal of Differential Equations 238 (2), 289-337, 2007 | 45 | 2007 |
Permanence and asymptotically stable complete trajectories for nonautonomous Lotka–Volterra models with diffusion JA Langa, JC Robinson, A Rodríguez-Bernal, A Suárez SIAM journal on Mathematical Analysis 40 (6), 2179-2216, 2009 | 41 | 2009 |
Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity JM Arrieta, R Pardo, A Rodriguez-Bernal Proceedings of the Royal Society of Edinburgh Section A: Mathematics 137 (2 …, 2007 | 39 | 2007 |
Localized spatial homogenization and large diffusion A Rodríguez-Bernal SIAM journal on mathematical analysis 29 (6), 1361-1380, 1998 | 39 | 1998 |
Parabolic singular limit of a wave equation with localized boundary damping A Rodrıguez-Bernal, E Zuazua Discrete Contin. Dynam. Systems 1 (3), 303-346, 1995 | 38 | 1995 |
Asymptotic behavior of a parabolic problem with terms concentrated in the boundary Á Jiménez-Casas, A Rodríguez-Bernal Nonlinear Analysis: Theory, Methods & Applications 71 (12), e2377-e2383, 2009 | 37 | 2009 |