An ode approach to the existence of positive solutions for semilinear problems in R n , Indiana Univ, Math. J, pp.30-141, 1981. ,
Minimal rearrangements of Sobolev functions, Journal für die reine und angewandte Mathematik, pp.153-179, 1988. ,
Uniqueness of the ground state solution for ?u?u+u 3=0 and a variational characterization of other solutions, Archive for Rational Mechanics and Analysis, vol.46, issue.2, pp.81-95, 1972. ,
DOI : 10.1007/BF00250684
SYMMETRIC GROUND STATES FOR A STATIONARY RELATIVISTIC MEAN-FIELD MODEL FOR NUCLEONS IN THE NON-RELATIVISTIC LIMIT, Reviews in Mathematical Physics, vol.24, issue.10, pp.1250025-1250055, 2012. ,
DOI : 10.1142/S0129055X12500250
Ground States for a Stationary Mean-Field Model for a Nucleon, Annales Henri Poincar??, vol.83, issue.2, pp.1287-1303, 2013. ,
DOI : 10.1007/s00023-012-0211-y
URL : https://hal.archives-ouvertes.fr/hal-00723553
Minimal rearrangements of sobolev functions : a new proof, Annales de l'institut Henri Poincaré (C) Analyse non linéaire, pp.333-339, 2003. ,
Ground states of semi-linear pde. Lecture notes from the " Summerschool on Current Topics in Mathematical Physics, CIRM Marseille, 2013. ,
Symmetry of positive solutions of nonlinear elliptic equations in R n , in Mathematical analysis and applications, Adv. in Math, vol.7, pp.369-402, 1981. ,
The Implicit Function Theorem: History, Theory, and Applications , Modern Birkhäuser Classics, 2012. ,
Uniqueness of positive solutions of ?u ? u + u p = 0 in R n, Arch. Rational Mech. Anal, vol.105, pp.243-266, 1989. ,
Uniqueness of the positive solution of ?u + f (u) = 0 in an annulus, Differential Integral Equations, pp.583-599, 1991. ,
Symmetric excited states for a mean-field model for a nucleon, Journal of Differential Equations, vol.255, pp.3536-3563, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00755608
Uniqueness of ground states for pseudorelativistic Hartree equations, Analysis & PDE, vol.2, issue.1, pp.1-27, 2009. ,
DOI : 10.2140/apde.2009.2.1
The concentration-compactness principle in the calculus of variations. The locally compact case, Part I, Ann. Inst. H. Poincaré Anal The concentration-compactness principle in the calculus of variations. The locally compact case, Part II, Non Linéaire Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.118, issue.1, pp.109-149, 1984. ,
Uniqueness of positive radial solutions of ?u + f (u) = 0 in R n, II, Trans. Amer. Math. Soc, vol.339, pp.495-505, 1993. ,
Uniqueness of positive radial solutions of ??u+f(u)=0 in ???n, Archive for Rational Mechanics and Analysis, vol.26, issue.2, pp.115-145, 1987. ,
DOI : 10.1007/BF00275874
Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei, Progress in Particle and Nuclear Physics, pp.57-470, 2006. ,
DOI : 10.1016/j.ppnp.2005.06.001
On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior, American Journal of Mathematics, vol.80, issue.1, pp.198-218, 1958. ,
DOI : 10.2307/2372830
Uniqueness of positive solutions of semilinear equations in ?n, Archive for Rational Mechanics and Analysis, vol.81, issue.2, pp.81-181, 1983. ,
DOI : 10.1007/BF00250651
The relativistic mean-field description of nuclei and nuclear dynamics, Reports on Progress in Physics, vol.52, issue.4, pp.439-514, 1989. ,
DOI : 10.1088/0034-4885/52/4/002
Relativistic mean field theory in finite nuclei, Progress in Particle and Nuclear Physics, vol.37, pp.193-263, 1996. ,
DOI : 10.1016/0146-6410(96)00054-3
The relativistic nuclear manybody problem, of Advances in Nuclear Physics, p.212, 1986. ,
Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ, Math. J, vol.49, pp.897-923, 2000. ,
Nonlinear dispersive equations Local and global analysis, CBMS Regional Conference Series in Mathematics, Published for the Conference Board of the Mathematical Sciences, 2006. ,
The Dirac equation, Texts and Monographs in Physics, 1992. ,
A theory of highly condensed matter, Annals of Physics, vol.83, issue.2, pp.491-529, 1974. ,
DOI : 10.1016/0003-4916(74)90208-5
Theoretical Nuclear and Subnuclear Physics, 2004. ,
DOI : 10.1142/5500
Université de Cergy-Pontoise, F-95000 Cergy-Pontoise, France. E-mail address, Université Lille 1 Sciences et Technologies, F-59655 Villeneuve d'Ascq, France. E-mail address: Simona.Rota-Nodari@math.univ-lille1.fr ,