Søren Fournais

  1. 2017
  2. Udgivet

    Spectral Gaps of Dirac Operators Describing Graphene Quantum Dots. / Benguria, Rafael D.; Fournais, Søren; Stockmeyer, Edgardo; Van Den Bosch, Hanne.

    I: Mathematical Physics, Analysis and Geometry, Vol. 20, Nr. 2, 11, 01.06.2017.

    Publikation: Forskning - peer reviewTidsskriftartikel

  3. Udgivet

    Self-Adjointness of Two-Dimensional Dirac Operators on Domains. / Benguria, Rafael D.; Fournais, Søren; Stockmeyer, Edgardo; Van Den Bosch, Hanne.

    I: Annales Henri Poincare, Vol. 18, Nr. 4, 01.04.2017, s. 1371-1383.

    Publikation: Forskning - peer reviewTidsskriftartikel

  4. 2016
  5. Udgivet

    Coulomb potentials and Taylor expansions in time-dependent density-functional theory. / Fournais, Søren; Lampart, Jonas; Lewin, Mathieu; Sørensen, Thomas Østergaard.

    I: Physical Review A (Atomic, Molecular and Optical Physics), Vol. 93, Nr. 6, 062510, 2016.

    Publikation: Forskning - peer reviewTidsskriftartikel

  6. Udgivet

    Optimal magnetic Sobolev constants in the semiclassical limit. / Fournais, S.; Raymond, N.T.

    I: l'Institut Henri Poincare. Annales (C). Analyse Non Lineaire, Vol. 33, Nr. 5, 2016, s. 1199-1222.

    Publikation: Forskning - peer reviewTidsskriftartikel

  7. 2015
  8. Udgivet

    Lack of Diamagnetism and the Little–Parks Effect. / Fournais, Søren; Sundqvist, Mikael Persson.

    I: Communications in Mathematical Physics, Vol. 337, Nr. 1, 13.01.2015, s. 191-224.

    Publikation: Forskning - peer reviewTidsskriftartikel

  9. Udgivet

    A uniqueness theorem for higher order anharmonic oscillators. / Fournais, Soren; Sundqvist, Mikael Persson.

    I: Journal of Spectral Theory, Vol. 5, Nr. 2, 2015, s. 235-249.

    Publikation: Forskning - peer reviewTidsskriftartikel

  10. Udgivet

    Complex analysis : An invitation. / Rao, Murali; Stetkær, Henrik; Fournais, Søren; Møller, Jacob Schach.

    2 udg. Singapore : World Scientific Publishing Co Pte Ltd, 2015. 414 s.

    Publikation: UndervisningBog

  11. 2013
  12. Udgivet

    Sharp trace asymptotics for a class of 2D-magnetic operators. / Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard.

    I: Institut Fourier. Annales, Vol. 63, Nr. 6, 2013, s. 2457-2513.

    Publikation: Forskning - peer reviewTidsskriftartikel

  13. Udgivet

    Stability and semiclassics in self-generated fields. / Erdös, Laszlo; Fournais, Søren; Solovej, Jan Philip.

    I: European Mathematical Society. Journal, Vol. 15, Nr. 6, 2013, s. 2093-2113.

    Publikation: Forskning - peer reviewTidsskriftartikel

  14. Udgivet

    The ground state energy of the three dimensional Ginzburg-Landau functional. Part II : Surface regime. / Fournais, S.; Kachmar, A.; Persson, M.

    I: Journal de Mathematiques Pures et Appliquees, Vol. 99, Nr. 3, 2013, s. 343-374.

    Publikation: Forskning - peer reviewTidsskriftartikel

  15. 2012
  16. Udgivet

    Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals. / Dall'Acqua, Anna; Fournais, Søren; Sørensen, Thomas Østergaard; Stockmeyer, Edgardo.

    I: Analysis & P D E, Vol. 5, Nr. 3, 2012, s. 657-691.

    Publikation: Forskning - peer reviewTidsskriftartikel

  17. Udgivet

    Relativistic Scott correction in self-generated magnetic fields. / Erdös, Laszlo; Fournais, Søren; Solovej, Jan Philip.

    I: Journal of Mathematical Physics, Vol. 53, Nr. 9, 2012, s. 095202.

    Publikation: Forskning - peer reviewTidsskriftartikel

  18. Udgivet

    Scott correction for large atoms and molecules in a self-generated magnetic field. / Erdös, Laszlo ; Fournais, Søren; Solovej, Jan Philip.

    I: Communications in Mathematical Physics, Vol. 312, Nr. 3, 2012, s. 847-882.

    Publikation: Forskning - peer reviewTidsskriftartikel

  19. Udgivet

    Second order semiclassics with self-generated magnetic fields. / Erdös, Laszlo ; Fournais, Søren; Solovej, Jan Philip.

    I: Annales Henri Poincare, Vol. 13, Nr. 4, 2012, s. 671-730.

    Publikation: Forskning - peer reviewTidsskriftartikel

  20. Udgivet

    The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional. Part I : Bulk Regime. / Fournais, S.; Kachmar, Ayman.

    I: Communications in Partial Differential Equations, Vol. 38, Nr. 2, 2012, s. 339-383.

    Publikation: Forskning - peer reviewTidsskriftartikel

  21. 2011
  22. Udgivet

    Nucleation of bulk superconductivity close to critical magnetic fields. / Fournais, Søren; Kachmar, Ayman.

    I: Advances in Mathematics, Vol. 226, Nr. 2, 2011, s. 1213-1258.

    Publikation: Forskning - peer reviewTidsskriftartikel

  23. Udgivet

    Strong diamagnetism for the ball in three dimensions. / Fournais, Søren; Persson, Mikael.

    I: Asymptotic Analysis, Vol. 72, Nr. 1-2, 2011, s. 77-123.

    Publikation: Forskning - peer reviewTidsskriftartikel

  24. Udgivet

    Superconductivity between HC2 and HC3. / Fournais, Søren; Helffer, Bernard; Persson, Mikael.

    I: Journal of Spectral Theory, Vol. 1, Nr. 3, 2011, s. 273-298.

    Publikation: Forskning - peer reviewTidsskriftartikel

  25. 2010
  26. Udgivet

    Bulk superconductivity in Type II superconductors near the second critical field. / Fournais, Søren; Helffer, Bernard.

    I: European Mathematical Society. Journal, Vol. 12, Nr. 2, 2010, s. 461-470.

    Publikation: Forskning - peer reviewTidsskriftartikel

  27. Udgivet

    The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei. / Fournais, Søren; Sørensen, Thomas Ø.

    I: Communications in Partial Differential Equations, Vol. 35, Nr. 7, 2010, s. 1276-1291.

    Publikation: Forskning - peer reviewTidsskriftartikel

  28. 2009
  29. Udgivet

    Analytic structure of many-body Coulombic wave functions. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard.

    I: Communications in Mathematical Physics, Vol. 289, Nr. 1, 2009, s. 291-310.

    Publikation: Forskning - peer reviewTidsskriftartikel

  30. Udgivet

    Analytic structure of solutions to multiconfiguration equations. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Thomas Østergaard, Thomas.

    I: Journal of Physics A: Mathematical and Theoretical, Vol. 42, Nr. 31, 2009.

    Publikation: Forskning - peer reviewTidsskriftartikel

  31. Udgivet

    On the energy of bound states for magnetic Schrödinger operators. / Fournais, Søren; Kachmar, Ayman.

    I: London Mathematical Society. Journal, Vol. 80, 2009, s. 233-255.

    Publikation: Forskning - peer reviewTidsskriftartikel

  32. Udgivet

    On the Ginzburg-Landau critical field in three dimensions. / Fournais, Søren; Helffer, Bernard.

    I: Communications on Pure and Applied Mathematics, Vol. 62, Nr. 2, 2009, s. 215-241.

    Publikation: Forskning - peer reviewTidsskriftartikel

  33. Udgivet

    On the transition to the normal phase for superconductors surrounded by normal conductors. / Fournais, Søren; Kachmar, Ayman.

    I: Journal of Differential Equations, Vol. 247, Nr. 6, 2009, s. 1637-1672.

    Publikation: Forskning - peer reviewTidsskriftartikel

  34. Udgivet

    Spectral Methods in Surface Superconductivity. / Fournais, Søren; Helffer, Bernard.

    Birkhäuser Verlag GmbH, 2009. 324 s. (Progress in Nonlinear Differential Equations and Their Applications, Vol. 77).

    Publikation: ForskningBog

  35. 2008
  36. Udgivet

    Local and global properties of eigenfunctions and one-electron densities of Coulombic Schrödinger operators. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard.

    I: A I P Conference Proceedings Series, 2008, s. 70-84.

    Publikation: Forskning - peer reviewKonferenceartikel

  37. Udgivet

    Positivity of the spherically averaged atomic one-electron density. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas.

    I: Mathematische Zeitschrift, Vol. 259, Nr. 1, 2008, s. 123-130.

    Publikation: Forskning - peer reviewTidsskriftartikel

  38. Udgivet

    Third derivative of the one-electron density at the nucleus. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Sørensen, Thomas Østergaard.

    I: Annales Henri Poincare, Vol. 9, Nr. 7, 2008, s. 1387-1412.

    Publikation: Forskning - peer reviewTidsskriftartikel

  39. 2007
  40. Udgivet

    Le troisième champ critique en théorie de Ginzburg-Landau. / Fournais, Søren.

    I: Séminaire Equations aux Dérivées Partielles du Centre de Mathématiques de l'Ecole Polytechnique, Vol. 2006-2007, 2007, s. VI 1- VI 13.

    Publikation: Forskning - peer reviewTidsskriftartikel

  41. Udgivet

    Non-isotropic cusp condition and regularity of the electron density of molecules at the nuclei. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas.

    I: Annales Henri Poincare, Vol. 8, Nr. 4, 2007, s. 731-748.

    Publikation: Forskning - peer reviewTidsskriftartikel

  42. Udgivet

    Optimal uniform elliptic estimates for the Ginzburg-Landau system. / Fournais, Søren; Helffer, Bernard.

    I: Contemporary Mathematics, 2007, s. 83-102.

    Publikation: Forskning - peer reviewKonferenceartikel

  43. Udgivet

    Spectral confinement and current for atoms in strong magnetic fields. / Fournais, Søren.

    I: Advances in Mathematics, Vol. 212, Nr. 2, 2007, s. 407-457.

    Publikation: Forskning - peer reviewTidsskriftartikel

  44. Udgivet

    Strong diamagnetism for general domains and applications. / Fournais, Søren; Helffer, Bernard.

    I: Institut Fourier. Annales, Vol. 57, Nr. 7, 2007, s. 2389-2400.

    Publikation: Forskning - peer reviewTidsskriftartikel

  45. Udgivet

    Superconductivity in domains with corners. / Bonnaillie-Noel, Virginie; Fournais, Søren.

    I: Reviews in Mathematical Physics, Vol. 19, Nr. 6, 2007, s. 607-637.

    Publikation: Forskning - peer reviewTidsskriftartikel

  46. 2006
  47. Udgivet

    Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian. / Fournais, Søren; Helffer, Bernard.

    I: Institut Fourier. Annales, Vol. 56, Nr. 1, 2006, s. 1-67.

    Publikation: Forskning - peer reviewTidsskriftartikel

  48. Udgivet

    On the third critical field in Ginzburg-Landau theory. / Fournais, Søren; Helffer, Bernard.

    I: Comm. Math. Phys., Vol. 266, Nr. 1, 2006, s. 153-196.

    Publikation: Forskning - peer reviewTidsskriftartikel

  49. Udgivet

    Regularity properties of molecular eigenfunctions and densities. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard.

    I: Oberwolfach Reports, Nr. 4, 2006, s. 2822-2825.

    Publikation: Forskning - peer reviewKonferenceartikel

  50. 2005
  51. Udgivet

    Energy asymptotics for Type II superconductors. / Fournais, Søren; Helffer, Bernard.

    I: Calc. Var. Partial Differential Equations, Vol. 24, Nr. 3, 2005, s. 341-376.

    Publikation: Forskning - peer reviewTidsskriftartikel

  52. Udgivet

    Sharp regularity results for many-electron wave functions. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas.

    I: Comm. Math. Phys., Vol. 255, Nr. 1, 2005, s. 183-227.

    Publikation: Forskning - peer reviewTidsskriftartikel

  53. Udgivet

    Zero energy asymptotics of the resolvent in the long-range case. / Skibsted, E.; Fournais, Søren.

    XIVth International Congress on Mathematical Physics: Lisbon 28 July -- 2 August 2003. red. / Jean-Claude Zambrini. World Scientific Publishing Co Pte Ltd, 2005. s. 611-618.

    Publikation: ForskningKonferencebidrag i proceedings

  54. 2004
  55. Udgivet

    Analyticity of the density of electronic wavefunctions. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas.

    I: Arkiv för Matematik, Vol. 42, Nr. 1, 2004, s. 87-106.

    Publikation: Forskning - peer reviewTidsskriftartikel

  56. Udgivet

    Zero energy asymptotics of the resolvent for a class of slowly decaying potentials. / Fournais, Søren; Skibsted, E.

    I: Math. Z., Vol. 248, Nr. 3, 2004, s. 593-633.

    Publikation: Forskning - peer reviewTidsskriftartikel

  57. 2003
  58. Udgivet

    Confinement to lowest Landau band and applications to quantum current. / Fournais, Søren.

    I: Rev. Math. Phys., Vol. 15, Nr. 10, 2003, s. 1219-1253.

    Publikation: Forskning - peer reviewTidsskriftartikel

  59. 2002
  60. Udgivet

    On the regularity of the density of electronic wavefunctions. / Fournais, Søren; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Østergaard Sørensen, T.

    Mathematical results in quantum mechanics. red. / Ricardo Weder; Pavel Exner; Bernoit Grébert. American Mathematical Society, 2002. s. 143-148 (Contemporary mathematics, Vol. 307).

    Publikation: Forskning - peer reviewKonferencebidrag i proceedings

  61. Udgivet

    On the total magnetic moment of large atoms in strong magnetic fields. / Fournais, Søren.

    I: Lett. Math. Phys., Vol. 59, Nr. 1, 2002, s. 33-45.

    Publikation: Forskning - peer reviewTidsskriftartikel

  62. Udgivet

    Semiclassics of the quantum current in very strong magnetic fields. / Fournais, Søren.

    I: Institut Fourier. Annales, Vol. 52, Nr. 6, 2002, s. 1901-1945.

    Publikation: Forskning - peer reviewTidsskriftartikel

  63. Udgivet

    The electron density is smooth away from the nuclei. / Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas.

    I: Comm. Math. Phys., Vol. 228, Nr. 3, 2002, s. 401-415.

    Publikation: Forskning - peer reviewTidsskriftartikel

  64. 2001
  65. Udgivet

    On the semiclassical asymptotics of the current and magnetic moment of a non-interacting electron gas at zero temperature in a strong constant magnetic field. / Fournais, Søren.

    I: Annales Henri Poincare, Vol. 2, Nr. 6, 2001, s. 1189-1212.

    Publikation: Forskning - peer reviewTidsskriftartikel

  66. Udgivet

    Semiclassics of the quantum current in a strong constant magnetic field. / Fournais, Søren.

    I: Comm. Partial Differential Equations, Vol. 26, Nr. 7-8, 2001, s. 1427-1496.

    Publikation: Forskning - peer reviewTidsskriftartikel

  67. Udgivet

    The magnetisation of large atoms in strong magnetic fields. / Fournais, Søren.

    I: Comm. Math. Phys., Vol. 216, Nr. 2, 2001, s. 375-393.

    Publikation: Forskning - peer reviewTidsskriftartikel

  68. Udgivet

    The nodal surface of the second eigenfunction of the Laplacian in RD can be closed. / Fournais, Søren.

    I: J. Differential Equations, Vol. 173, Nr. 1, 2001, s. 145-159.

    Publikation: Forskning - peer reviewTidsskriftartikel

  69. 1999
  70. Udgivet

    Semiclassics of the quantum current in weak and strong magnetic fields. / Fournais, Søren.

    Department of Mathematics , University of Aarhus, 1999. 109 s.

    Publikation: ForskningPh.d.-afhandling

  71. 1998
  72. Udgivet

    Semiclassics of the quantum current. / Fournais, Søren.

    I: Comm. Partial Differential Equations, Vol. 23, Nr. 3-4, 1998, s. 601-628.

    Publikation: Forskning - peer reviewTidsskriftartikel