Søren Fournais

  1. 2017
  2. Published

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

    In: Mathematical Physics, Analysis and Geometry, Vol. 20, No. 2, 11, 01.06.2017.

    Research output: Research - peer-reviewJournal article

  3. Published

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

    In: Annales Henri Poincare, Vol. 18, No. 4, 01.04.2017, p. 1371-1383.

    Research output: Research - peer-reviewJournal article

  4. Published

    Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. / Fournais, Søren; Raymond, N.T.; Le Treust, Loïc; van Schaftingen, Jean.

    In: Mathematical Society of Japan. Journal, Vol. 69, No. 4, 2017, p. 1667-1714.

    Research output: Research - peer-reviewJournal article

  5. 2016
  6. Published

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

    In: Physical Review A, Vol. 93, No. 6, 062510, 2016.

    Research output: Research - peer-reviewJournal article

  7. Published

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

    In: l'Institut Henri Poincare. Annales (C). Analyse Non Lineaire, Vol. 33, No. 5, 2016, p. 1199-1222.

    Research output: Research - peer-reviewJournal article

  8. 2015
  9. Published

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

    In: Communications in Mathematical Physics, Vol. 337, No. 1, 13.01.2015, p. 191-224.

    Research output: Research - peer-reviewJournal article

  10. Published

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

    In: Journal of Spectral Theory, Vol. 5, No. 2, 2015, p. 235-249.

    Research output: Research - peer-reviewJournal article

  11. Published

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

    2 ed. Singapore : World Scientific Publishing Co Pte Ltd, 2015. 414 p.

    Research output: EducationBook

  12. 2013
  13. Published

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

    In: Institut Fourier. Annales, Vol. 63, No. 6, 2013, p. 2457-2513.

    Research output: Research - peer-reviewJournal article

  14. Published

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

    In: European Mathematical Society. Journal, Vol. 15, No. 6, 2013, p. 2093-2113.

    Research output: Research - peer-reviewJournal article

  15. Published

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

    In: Journal de Mathematiques Pures et Appliquees, Vol. 99, No. 3, 2013, p. 343-374.

    Research output: Research - peer-reviewJournal article

  16. 2012
  17. Published

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

    In: Analysis & PDE, Vol. 5, No. 3, 2012, p. 657-691.

    Research output: Research - peer-reviewJournal article

  18. Published

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

    In: Journal of Mathematical Physics, Vol. 53, No. 9, 2012, p. 095202.

    Research output: Research - peer-reviewJournal article

  19. Published

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

    In: Communications in Mathematical Physics, Vol. 312, No. 3, 2012, p. 847-882.

    Research output: Research - peer-reviewJournal article

  20. Published

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

    In: Annales Henri Poincare, Vol. 13, No. 4, 2012, p. 671-730.

    Research output: Research - peer-reviewJournal article

  21. Published

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

    In: Communications in Partial Differential Equations, Vol. 38, No. 2, 2012, p. 339-383.

    Research output: Research - peer-reviewJournal article

  22. 2011
  23. Published

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

    In: Advances in Mathematics, Vol. 226, No. 2, 2011, p. 1213-1258.

    Research output: Research - peer-reviewJournal article

  24. Published

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

    In: Asymptotic Analysis, Vol. 72, No. 1-2, 2011, p. 77-123.

    Research output: Research - peer-reviewJournal article

  25. Published

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

    In: Journal of Spectral Theory, Vol. 1, No. 3, 2011, p. 273-298.

    Research output: Research - peer-reviewJournal article

  26. 2010
  27. Published

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

    In: European Mathematical Society. Journal, Vol. 12, No. 2, 2010, p. 461-470.

    Research output: Research - peer-reviewJournal article

  28. Published

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

    In: Communications in Partial Differential Equations, Vol. 35, No. 7, 2010, p. 1276-1291.

    Research output: Research - peer-reviewJournal article

  29. 2009
  30. Published

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

    In: Communications in Mathematical Physics, Vol. 289, No. 1, 2009, p. 291-310.

    Research output: Research - peer-reviewJournal article

  31. Published

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

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 31, 2009.

    Research output: Research - peer-reviewJournal article

  32. Published

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

    In: Communications on Pure and Applied Mathematics, Vol. 62, No. 2, 2009, p. 215-241.

    Research output: Research - peer-reviewJournal article

  33. Published

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

    In: London Mathematical Society. Journal, Vol. 80, 2009, p. 233-255.

    Research output: Research - peer-reviewJournal article

  34. Published

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

    In: Journal of Differential Equations, Vol. 247, No. 6, 2009, p. 1637-1672.

    Research output: Research - peer-reviewJournal article

  35. Published

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

    Birkhäuser Verlag GmbH, 2009. 324 p.

    Research output: ResearchBook

  36. 2008
  37. Published

    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.

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

    Research output: Research - peer-reviewConference article

  38. Published

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

    In: Mathematische Zeitschrift, Vol. 259, No. 1, 2008, p. 123-130.

    Research output: Research - peer-reviewJournal article

  39. Published

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

    In: Annales Henri Poincare, Vol. 9, No. 7, 2008, p. 1387-1412.

    Research output: Research - peer-reviewJournal article

  40. 2007
  41. Published

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

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

    Research output: Research - peer-reviewJournal article

  42. Published

    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.

    In: Annales Henri Poincare, Vol. 8, No. 4, 2007, p. 731-748.

    Research output: Research - peer-reviewJournal article

  43. Published

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

    In: Contemporary Mathematics, 2007, p. 83-102.

    Research output: Research - peer-reviewConference article

  44. Published

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

    In: Advances in Mathematics, Vol. 212, No. 2, 2007, p. 407-457.

    Research output: Research - peer-reviewJournal article

  45. Published

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

    In: Institut Fourier. Annales, Vol. 57, No. 7, 2007, p. 2389-2400.

    Research output: Research - peer-reviewJournal article

  46. Published

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

    In: Reviews in Mathematical Physics, Vol. 19, No. 6, 2007, p. 607-637.

    Research output: Research - peer-reviewJournal article

  47. 2006
  48. Published

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

    In: Institut Fourier. Annales, Vol. 56, No. 1, 2006, p. 1-67.

    Research output: Research - peer-reviewJournal article

  49. Published

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

    In: Comm. Math. Phys., Vol. 266, No. 1, 2006, p. 153-196.

    Research output: Research - peer-reviewJournal article

  50. Published

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

    In: Oberwolfach Reports, No. 4, 2006, p. 2822-2825.

    Research output: Research - peer-reviewConference article

  51. 2005
  52. Published

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

    In: Calc. Var. Partial Differential Equations, Vol. 24, No. 3, 2005, p. 341-376.

    Research output: Research - peer-reviewJournal article

  53. Published

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

    In: Comm. Math. Phys., Vol. 255, No. 1, 2005, p. 183-227.

    Research output: Research - peer-reviewJournal article

  54. Published

    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. ed. / Jean-Claude Zambrini. World Scientific Publishing Co Pte Ltd, 2005. p. 611-618.

    Research output: ResearchArticle in proceedings

  55. 2004
  56. Published

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

    In: Arkiv för Matematik, Vol. 42, No. 1, 2004, p. 87-106.

    Research output: Research - peer-reviewJournal article

  57. Published

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

    In: Math. Z., Vol. 248, No. 3, 2004, p. 593-633.

    Research output: Research - peer-reviewJournal article

  58. 2003
  59. Published

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

    In: Rev. Math. Phys., Vol. 15, No. 10, 2003, p. 1219-1253.

    Research output: Research - peer-reviewJournal article

  60. 2002
  61. Published

    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. ed. / Ricardo Weder; Pavel Exner; Bernoit Grébert. American Mathematical Society, 2002. p. 143-148.

    Research output: Research - peer-reviewArticle in proceedings

  62. Published

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

    In: Lett. Math. Phys., Vol. 59, No. 1, 2002, p. 33-45.

    Research output: Research - peer-reviewJournal article

  63. Published

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

    In: Institut Fourier. Annales, Vol. 52, No. 6, 2002, p. 1901-1945.

    Research output: Research - peer-reviewJournal article

  64. Published

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

    In: Comm. Math. Phys., Vol. 228, No. 3, 2002, p. 401-415.

    Research output: Research - peer-reviewJournal article

  65. 2001
  66. Published

    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.

    In: Annales Henri Poincare, Vol. 2, No. 6, 2001, p. 1189-1212.

    Research output: Research - peer-reviewJournal article

  67. Published

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

    In: Comm. Partial Differential Equations, Vol. 26, No. 7-8, 2001, p. 1427-1496.

    Research output: Research - peer-reviewJournal article

  68. Published

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

    In: Comm. Math. Phys., Vol. 216, No. 2, 2001, p. 375-393.

    Research output: Research - peer-reviewJournal article

  69. Published

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

    In: J. Differential Equations, Vol. 173, No. 1, 2001, p. 145-159.

    Research output: Research - peer-reviewJournal article

  70. 1999
  71. Published

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

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

    Research output: ResearchPh.D. thesis

  72. 1998
  73. Published

    Semiclassics of the quantum current. / Fournais, Søren.

    In: Comm. Partial Differential Equations, Vol. 23, No. 3-4, 1998, p. 601-628.

    Research output: Research - peer-reviewJournal article