1. "Eigenvalue
Problems for Nonsmoothly Perturbed Domains"
Journal of Differential Equations, Vol 91 (1991) 24-52
(with
J. Hale and Q. Han)
2. "A
damped hyperbolic equation with critical exponent"
Communications in Partial Differential Equations17 (5
& 6),
841-866 (1992). (with A. Carvalho and J. Hale)
4. "Rates
of
Eigenvalues on a Dummbell Domain. Simple Eigenvalue Case"
Transactions of the A.M.S. Vol. 347, No. 9, (1995) 3503-3531.
5. "Elliptic
Equations, Principal Eigenvalue and Dependence on the Domain"
Communications in Partial Differential Equations, 21
(5\&6),
971-991 (1996)
6. "Domain
Dependence
of Elliptic Operators in Divergence Form"
Resenhas IME-USP, Vol. 3, No. 1, 107 - 123 (1997).
7. "Critical
Nonlinearities at the Boundary"
C.R. Acad. Sci.Paris, t. 327, Série I, p. 353-358, (1998)
(with
A. Carvalho and A. Rodríguez-Bernal)
8. "Abstract
Parabolic Equations with Critical Nonlinearities and Applications to
Navier-Stokes
and Heat Equations"
Transactions of the A.M.S 352, pp. 285-310 (2000)
(with
A. Carvalho)
9. "Parabolic
Problems with Nonlinear Boundary Conditions and Critical Nonlinearities"
Journal of Differential Equations 156, pp. 376-406
(1999) (with
A. Carvalho and A. Rodríguez-Bernal)
10. "Perturbations
of the Diffusion and Upper Semicontinuity of Attractors"
Applied Mathematics Letters 12, pp 37-42 (1999) (with A.
Carvalho
and A. Rodríguez-Bernal)
11. "Attractors
of Parabolic Problems with Critical Nonlinearities. Uniform Bounds"
Communications in Partial Differential Equations25, 1&2, pp.
1-37
(2000) (with A. Carvalho and A. Rodríguez-Bernal)
12. "Uppersemicontinuity
of Attractors for Parabolic Problems with Localized Large Diffusion and
Nonlinear
Boundary Conditions"
Journal of Differential Equations 168, pp 33-59 (2000). (with
A.
Carvalho
and
A.
Rodríguez-Bernal)
13. "Spectral
Behavior and Uppersemicontinuity of Attractors"
International Conference on Differential Equations
(EQUADIFF'99)
Berlin. World Scientific.pp 615-621 (2000).
14. "Parabolic
Problems with Dynamical Boundary Condition and Singular Initial Data"
Differential and Integral Equations 14, pp. 1487-1510 (2001)
(with
P. Quittner and A. Rodríguez-Bernal)
15. "Magnetic
Properties of Diruthenium (II,III)Carboxilate Compounds with Large
Zero-Field
Splitting and Strong Antiferromagnetic Coupling"
Inorganic Chemistry, 40, 613-619, (2001)
(with R.
Jiménez-Aparicio and F.A. Urbanos)
16. "Pattern
Formation from Boundary Reaction"
Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc.,
Providence,
RI, (2002). (with N. Consul and A. Rodriguez-Bernal)
17. "Asymptotic
Behavior and Attractors for Reaction Diffusion Equations in Unbounded
Domains"
Nonlinear Analysis, 56, pp. 515-554 (2004)
(with
J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal)
18. "Stable
boundary layers in a diffusion problem with nonlinear reaction at
the
boundary"
Z. angew. Math. Phys. 55, pp. 1-14 (2004)
(with N.
Consul and A. Rodriguez-Bernal)
19. "Linear
parabolic equations in locally uniform spaces"
Mathematical Models and Methods in Applied Sciences, 14, n. 2,
253-294
(2004) (with J.W. Cholewa, T. Dlotko and A.
Rodríguez-Bernal)
20. "Boundedness
of Global Solutions for Nonlinear Parabolic Equations involving
Gradient
Blow-up Phenomena"
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.
Issue
1,
Volume
3/2004,
Series
5,
pp
1-15,
(2004)
(with
A.
Rodríguez-Bernal
and
P.
Souplet)
21. "Spectral
Convergence and Nonlinear Dynamics for Reaction-Diffusion Equations
under
Perturbations of the Domain"
Journal of Differential Equations 199, pp. 143-178 (2004)
(with
A. Carvalho)
22. "El Cálculo y la Modelización Matemática",
en
R. Rodríguez, E. Zuazua,
De la Aritmética al
Análisis:
Historia y Desarrollo reciente en Matemáticas, Aulas de
Verano, Instituto Superior
de
Formación del Profesorado, Ministerio de Educación y
Ciencia,
pp 11-57 (2004)
23. "Localization
on the boundary of
blow-up
for reaction-diffusion equations with nonlinear boundary conditions"
Communications in Partial Differential Equations 29, 7&8,
pp. 1127-1148
(2004) (with A. Rodríguez-Bernal)
24. "Non well posedness
of parabolic
equations
with supercritical nonlinearities"
Communications in Contemporary Mathematics 6, n
5,
pp. 733-764 (2004) (with A. Rodríguez-Bernal)
25. "Ill posed problems
with supercritical
nonlinearities''.
International Conference on Differential Equations
(EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 277-280,
(2005) , (with A.
Rodríguez-Bernal)
26. "Nonhomogenous flux
condition as limit of localized reactions''.
International Conference on Differential Equations
(EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 293-295, (2005),
(with
A.
Jiménez-Casas
and
A.
Rodríguez-Bernal)
27. "Problemas de valor de fronteira em domínios com
oscilaçōes na fronteira",
Seminario Brasileiro de
Análise, Edición nº 62, Noviembre (2005),
(with Simone M. Bruschi)
28. "Boundary
Oscillations and Nonlinear Boundary
Conditions",
C. R. Acad. Sci.
Paris, t. 343, Series I, pp. 99-104 (2006) (with
Simone M. Bruschi)
29. "Dynamics in
dumbbell
domains I. Continuity of the set of
equilibria"
Journal of
Differential Equations, 231, Issue 2, pp. 551-597, (2006),
(with A.N. Carvalho and G. Lozada-Cruz)
30. "Dynamics of a reaction-diffusion
equation with a discontinuous
nonlinearity",
International
Journal of Bifurcation and
Chaos 16, n. 10, pp. 2965-2984 (2006) ,
(with A. Rodríguez-Bernal
and J.
Valero)
31. "Bifurcation and
stability of
equilibria with asymptotically linear
boundary conditions at infinity",
Proceedings of the Royal Society of
Edinburgh A, Vol.137, Issue 02, 225-252.
(2007), (with R. Pardo and A.
Rodríguez-Bernal)
32. "Rapidly varying
boundaries in equations with nonlinear boundary conditions. The case of
a Lispschitz deformation"
Mathematical Models and Methods in Applied Sciences, vol 17,
No. 10, 1555-1585
(2007) (with Simone M. Bruschi)
33. "Dissipative parabolic
equations in
locally uniform spaces",
Mathematische
Nachrichten 280, Issue 15. pp. 1643-1663, (2007), (with
J.W.
Cholewa, T. Dlotko and A. Rodríguez-Bernal)
34. “Blow up versus global boundedness of solutions of reaction
diffusion equations with nonlinear boundary conditions”,
Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula,
M.Medved, P.Quittner and D.Sevcovic (2007). pp 1-7
(with A. Rodríguez-Bernal)
35. “Robin type conditions arising from concentrated potentials”,
Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula,
M.Medved, P.Quittner and D.Sevcovic (2007). pp 157-164
(with A.
Jiménez-Casas and A.
Rodríguez-Bernal)
36. “Dissipative dynamics of reaction diffusion equations in R^N”
Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula,
M.Medved, P.Quittner and D.Sevcovic (2007), pp 405-414, (with N.
Moya and A.
Rodríguez-Bernal)
37. "On boundedness of solutions
of
reaction-diffusion equations with nonlinear boundary conditions"
Proceedings of the American
Mathematical Society 136, Issue 1, pp. 151-160 (2008)