List of the publications and preprints of the MathAmSud project

54.  .  . 

53. M. Doumic, A. Marciniak-Czochra, B. Perthame, J.P. Zubelli . A Structured Population Model of Cell Differentiation . SIAM J. Appl. Math. 71(6), 1918-1940

52. Kowalczyk M, Liu Y, Pacard F. . The space of 4-ended solutions to the Allen-Cahn equation in the plane . Submitted

51. J. Terra and N. Wolanski . Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data . Discrete and Continuous Dynamical Systems, 31(2), (2011), 581–605

50. J. Terra and N. Wolanski . Asymptotic behavior for a nonlocal diffusion equation with absorption and nonintegrable initial data. The supercritical case . Proc. AMS 139(4), (2011), 1421–1432

49. J. F. Bonder, S. Martinez and N. Wolanski . A free boundary problem for the p(x)−Laplacian . Nonlinear Analysis, TMA 72, (2010), 1078–1103

48. C. Lederman and N. Wolanski . A local monotonicity formula for an inhomogeneous singular perturbation problem and applications II . Annali di Matematica Pura Appl. 189(1), (2010), 25–46

47. S. Martinez and N. Wolanski . A singular perturbation problem for a quasilinear operator satisfying the natural growth condition of Lieberman . SIAM J. Math. Anal. 41(1) (2009), 318–359

46. M.J. Esteban, P. Felmer, A. Quaas . Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data . Proceedings of the Edinburgh Mathematical Society (2010) 53, p. 125–141

45. M. del Pino, J. Dolbeault . The Euclidean Onofri inequality in higher dimensions . Submitted

44. J. Dolbeault . Relative equilibria in continuous stellar dynamics . Oberwolfach Reports (joint work with J. Campos and M. del Pino)

43. B. Perthame, P. Markowich, J.P. Zubelli . Mathematical methods and modelling of biophysical phenomena . Math. Comput. Modelling 53 (2011), no. 7-8, 1359–1362, 92-06

42. M.O. Souza, J.P. Zubelli . Global Stability for a Class of Virus Models with Cytotoxic T Lymphocyte Immune Response and Antigenic Variation . Bull. Math. Biol. 73 (2011), no. 3, 609–625

41. M.O. Souza, J.P. Zubelli . Strategic investment decisions under fast mean-reversion stochastic volatility . Appl. Stoch. Models Bus. Ind. 27 (2011), no. 1, 61–69

40. P. Felmer, A. Quaas, B. Sirakov . Existence and regularity results for fully nonlinear equations with singularities . Mathematische Annalen, to appear (Online First, 1 November 2011)

39. P. Felmer, A. Quaas, B. Sirakov . Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations . J. Funct. Anal. 258 (2010), no. 12, 4154–4182

38. P. Felmer, A. Quaas, B. Sirakov . Resonance phenomena for second-order stochastic control equations . SIAM J. Math. Anal. 42 (2010), no. 3, 997–1024

37. A. Quaas, B. Sirakov . Existence and non-existence results for fully nonlinear elliptic systems . Indiana University Mathematics Journal 58, 2 (2009) 751-788

36. M. del Pino, M. Kowalczyk and F. Pacard . Moduli space theory for the Allen-Cahn equation in the plane . To appear in Transactions of the AMS

35. M. Bendahmane, T. Lepoutre, B. Perthame . Conservative cross diffusions and pattern formation through relaxation . J. Maths Pures et Appl. 92 (2009) 651–667

34. J. Coville, J. Dávila, S. Martínez . Pulsating waves for nonlocal dispersion and KPP nonlinearity . Submitted

33. J. J. Manfredi, M. Parviainen, J.D. Rossi . An asymptotic mean value characterization for a class of nonlinear parabolic equations related to tug-of-war games . SIAM Journal of Mathematical Analysis. Vol.42 (5), 2058-2081, (2010)

32. J. Dávila, M. Montenegro . Concentration for an elliptic equation with singular nonlinearity . Submitted

31. J. García Melián, J. D. Rossi, J. Sabina . Large solutions to an anisotropic quasilinear elliptic problem . Annali di Matematica Pura ed Applicata. Vol.189 (4), 689-712, (2010)

30. A. Capella, J. Dávila, L. Dupaigne, Y. Sire . Regularity of radial extremal solutions for some non local semilinear equations . Comm. Partial Differential Equations 36 (2011), no. 8, 1353–1384

29. J. García Melián, J. D. Rossi, J. Sabina . Large solutions to an anisotropic quasilinear elliptic problem . Annali di Matematica Pura ed Applicata. Vol.189 (4), 689-712, (2010)

28. J. J. Manfredi, M. Parviainen, J.D.Rossi . An asymptotic mean value characterization for p-harmonic functions . Proceedings of the American Mathematical Society. Vol. 138, 881-889, (2010)

27. J.J.Manfredi, J.D.Rossi, J.M. Urbano . p-harmonic functions with unbounded exponent in a subdomain . Annales de l'Institut Henri Poincaré, C. Analyse Non Linéaire. Vol.26 (6), 2581-2595, (2009)

26. J. Campos, M. del Pino, J. Dolbeault . Relative equilibria in continuous stellar dynamics . Communications in Mathematical Physics, 300:765–788, 2010

25. M. del Pino, J. Dolbeault, S. Filippas, A. Tertikas . A logarithmic Hardy inequality . Journal of Functional Analysis, 259 (8): 2045-2072, 2010.

24. P. Amster, P. de Nápoli and J. Zubelli . Towards a generalization of Dupire's equation for several assets . Journal of Mathematical Analysis and Applications, 355(1):170–179, 2009.

23. M.J. Esteban, P. Felmer, A. Quaas . Eigenvalues for radially symmetric non-variational fully nonlinear operators .  Comm. Partial Differential Equations 35 (2010), no. 9, 1716–1737

22. M. Musso, F. Pacard, and J. Wei . Finite energy, sign changing solutions with dihedral symmetry for the stationary non linear Schrödinger equation . To appear in J. Eur. Math. Soc

21. M. del Pino, M. Kowalczyk, F. Pacard, and J. Wei . Multiple-end solutions to the Allen-Cahn equation in R^2 . J. Functional Analysis 258, 2010, 458-503

20. M. del Pino, M. Kowalczyk, F. Pacard et J. Wei . The Toda system and multiple-end solutions of autonomous planar elliptic problems . Adv. Mathematics 224, No 4, (2010), 1462-1516

19. M. Doumic, F. Duboc, F. Golse, R. Sentis .  Simulation of Laser Beam Propagation With a Paraxial Model in a Tilted Frame . Journal of Computational Physics, vol.228, Issue 3 (2009), 861-880

18. M. Doumic . Boundary Value Problem for an Oblique Paraxial Model of Light Propagation . Methods Appl. Anal. 16 (2009), no. 1, 119–137

17. M. Doumic, P. Gabriel . Eigenelements of a General Aggregation-Fragmentation Model . Math. Models Methods Appl. Sci. 20 (2010), no. 5, 757–783

16. M. Doumic, T. Goudon, T. Lepoutre . Scaling Limit of a Discrete Prion Dynamics Model . Commun. Math. Sci. 7 (2009), no. 4, 839–865

15. M. Doumic, P.S. Kim, B. Perthame . Stability Analysis of a Simplified Yet Complete Model for Chronic Myelogenous Leukemia .  Bull. Math. Biol. 72 (2010), no. 7, 1732–1759

14. M. Doumic, J.P. Zubelli, P. Maia . On the Calibration of a Size-Structured Population Model from Experimental Data . Acta Biotheoretica. Electronic version published online / Print version to appear, 2010

13. L. I. Ignat, J. D. Rossi . Decay estimates for nonlocal problems via energy methods . Journal de Mathematiques Pures et Appliquees. Vol. 92(2), 163-187, (2009)

12. J. Garcia Melian, J. D. Rossi, J. Sabina . Large solutions for the Laplacian with a power nonlinearity given by a variable exponent . Annales de l’Institut Henri Poincaré, C. Analyse Non Linéaire. Vol. 26(3), 889-902, (2009)

11. F. Andreu, J. M. Mazon, J. D. Rossi, J. Toledo . The limit as p->infty in a nonlocal p-Laplacian evolution equation. A nonlocal approximation of a model for sandpiles . Calculus of Variations and Partial Differential Equations. Vol. 35 (3), 279-316, (2009)

10. F. Andreu, J. M. Mazon, J. D. Rossi, J. Toledo . A nonlocal p-Laplacian evolution equation with non homogeneous Dirichlet boundary conditions .  SIAM Journal on Mathematical Analysis. Vol. 40 (5), 1815-1851, (2009)

9. J. García-Melián, J. D. Rossi . On the principal eigenvalue of some nonlocal diffusion problems . Journal of Differential Equations. Vol. 246(1), 21-38, (2009)

8. L. Del Pezzo, J. Fernández Bonder . Some optimization problems for p-Laplacian type equations . Appl. Math. Optim., 59 (2009), 365-381.

7. J. Fernández Bonder, P. Groisman . Time-space white noise eliminates global solutions in reaction diffusion equations . Physica D, 238 (2009), 209-215.

6. Mostafa Bendahmane, Thomas Lepoutre, Americo Marrocco, Benoit Perthame . Conservative cross diffusions and pattern formation through relaxation .  J. Maths Pures et Appl. (2009)

5. Marie Doumic, Benoit Perthame, Jorge P. Zubelli . Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics . Inverse Problems 25 (2009) 045008 (25pp)

4. Jean Dolbeault, Patricio Felmer, and Mathieu Lewin . Orbitally stable states in generalized Hartree-Fock theory . Mathematical Models and Methods in Applied Sciences, 19 (3): 347-367, 2009

3. Rafael Benguria, Jean Dolbeault, Régis Monneau . Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions . Journal of Statistical Physics, 134 (1): 01 (2009) pp. 27-51

2. Adrien Blanchet, Jean Dolbeault and Michal Kowalczyk . Stochastic Stokes' drift, homogenized functional inequalities, and large time behaviour of Brownian ratchets . SIAM Journal on Mathematical Analysis, 41 (2009), pp. 46-76

1. Adrien Blanchet, Jean Dolbeault, and Michal Kowalczyk . Travelling fronts in stochastic Stokes' drifts . Physica A: Statistical Mechanics and its Applications, 387 (2008), pp. 5741-5751