OPERATEURS MAXIMAUX, EQUATIONS D'ORDRE QUATRE ET DERIVE-DIFFUSION QUANTIQUE
Coopération franco-chilienne - Contrat ECOS no. C05E09
Publications


Contract C02E08

• J. Dolbeault and I. Flores. Geometry of phase space and solutions of semilinear elliptic equations in a ball. Trans. Amer. Math. Soc., 359: 4073-4087, 2007: pdf, offprint
• J. Busca, M.J. Esteban, A. Quaas. Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator. Ann. I. H. Poincaré, Analyse non linéaire 22 (2005), p. 187-206: pdf, offprint
• M. J. Esteban, P. Felmer et A. Quaas. Large critical exponents for some second order uniformly elliptic operators, Communications in Partial Differential Equations, Volume 32, Issue 4 April 2007, pages 543 - 556: pdf, offprint
• J. Dolbeault, P. Felmer, M. Loss, and E. Paturel. Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems. J. Funct. Anal., 238(1):193-220, 2006: pdf, offprint
• J.-P. Bartier, J. Dolbeault, R. Illner, and M. Kowalczyk. A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Math. Models Methods Appl. Sci., 17 (3): 327-362, 2007 (*): pdf, offprint
• A. Quaas, B. Sirakov, Principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Adv. in Mathematics, Volume 218, Issue 1, 1 May 2008, Pages 105-135: pdf, offprint
• A. Quaas, B. Sirakov. Existence results for nonproper elliptic equation involving the Pucci's Operator. Communications in Partial Differential Equations, Volume 31, Issue 7 June 2006 , pages 987-1003: pdf, offprint
• A. Quaas, B. Sirakov, Solvability of monotone systems of fully nonlinear elliptic PDE's. C. R. Acad. Sci. Paris, Ser. I 346 (2008): pdf, offprint

Contract C05E09

• R. Benguria, J. Dolbeault, R. Monneau. Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions, Journal of Statistical Physics, 134 (1): 27-51, 01, 2009: pdf, offprint
• M. Esteban, P. Felmer, A. Quaas. Super-linear elliptic equation for the Pucci operator without growth restrictions for the data. Proc. Roy. Soc. Edinburgh, to appear: pdf
• P. Felmer, A. Quaas, B. Sirakov. Resonance phenomena for second-order stochastic control equations, submitted: pdf
• P. Felmer, A. Quaas, B. Sirakov. Landesman-Lazer type conditions for fully nonlinear elliptic equations, work in progress.
• M. Esteban, P. Felmer, A. Quaas. Eigenvalue problems for non-variational operators: one-dimensional radial case, work in progress.
• J. Dolbeault, P. Felmer, and J. Mayorga-Zambrano. Compactness properties for trace-class operators and applications to quantum mechanics. Monatshefte für Mathematik, 155(1):43-66, 2008: pdf, offprint
• J. Dolbeault, P. Felmer, M. Lewin. Stability of the Hartree-Fock model with temperature, Preprint Ceremade no. 0801, (2008), to appear in Math. Models Methods Appl. Sci: pdf
• R. D. Benguria, I. Catto, J. Dolbeault, Optimal Gagliardo-Nirenberg inequalities and fourth order elliptic equations in one dimension, work in progress.
• A. Blanchet, J. Dolbeault, and M. Kowalczyk, Travelling fronts in stochastic Stokes' drifts, Physica A: Statistical Mechanics and its Applications, 387 (2008), pp. 5741-5751: pdf, offprint
• A. Blanchet, J. Dolbeault and M. Kowalczyk. Stochastic Stokes drift, homogenized functional inequalities, and large time behaviour of Brownian ratchets, Preprint Ceremade no. 0804, (2008), to appear in SIAM Math. Analysis: pdf
• A. Quaas, B. Sirakov, On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators. C. R. Acad. Sci. Paris, Ser. I 342 (2006) (*), offprint

(*) le numéro du contrat n'a pas été mentionné.