Aarhus University Seal / Aarhus Universitets segl

Søren Fournais

  1. 2020
  2. Published

    The Scott Correction in Dirac–Fock Theory. / Fournais, Søren; Lewin, Mathieu; Triay, Arnaud.

    In: Communications in Mathematical Physics, Vol. 378, No. 1, 08.2020, p. 569-600.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  3. Published

    The magnetic Scott correction for relativistic matter at criticality. / Bley, Gonzalo A.; Fournais, Soren.

    In: Journal of Mathematical Physics, Vol. 61, No. 6, 062102, 01.06.2020.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  4. Published

    Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields. / Fournais, Søren; Madsen, Peter S.

    In: Annales Henri Poincare, Vol. 21, No. 5, 05.2020, p. 1401-1449.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  5. Published

    A Simple 2nd Order Lower Bound to the Energy of Dilute Bose Gases. / Brietzke, Birger; Fournais, Søren; Solovej, Jan Philip.

    In: Communications in Mathematical Physics, Vol. 376, 2020, p. 323–351.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  6. 2019
  7. Published

    Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional. / Fournais, Soren; Napiorkowski, Marcin; Reuvers, Robin; Solovej, Jan Philip.

    In: Journal of Mathematical Physics, Vol. 60, No. 7, 071903, 07.2019.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  8. Published

    Inequalities for the lowest magnetic Neumann eigenvalue. / Fournais, S.; Helffer, B.

    In: Letters in Mathematical Physics, Vol. 109, No. 7, 07.2019, p. 1683-1700.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  9. Published

    Concentration Behavior and Lattice Structure of 3D Surface Superconductivity in the Half Space. / Fournais, Søren; Miqueu, Jean Philippe; Pan, Xing Bin.

    In: Mathematical Physics Analysis and Geometry, Vol. 22, No. 2, 12, 2019.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  10. Published

    Hardy–Lieb–Thirring Inequalities for Fractional Pauli Operators. / Bley, Gonzalo A.; Fournais, Søren.

    In: Communications in Mathematical Physics, Vol. 365, No. 2, 2019, p. 651-683.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  11. 2018
  12. Published

    The semi-classical limit of large fermionic systems. / Fournais, Søren; Lewin, Mathieu; Solovej, Jan Philip.

    In: Calculus of Variations and Partial Differential Equations, Vol. 57, No. 4, 105, 01.08.2018.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  13. Published

    Existence of surface smectic states of liquid crystals. / Fournais, Søren; Kachmar, Ayman; Pan, Xing Bin.

    In: Journal of Functional Analysis, Vol. 274, No. 3, 01.02.2018, p. 900-958.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  14. 2017
  15. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  16. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  17. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  18. 2016
  19. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  20. Published

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

    In: Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, Vol. 33, No. 5, 2016, p. 1199-1222.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  21. 2015
  22. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  23. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  24. Published

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

    2 ed. Singapore : World Scientific, 2015. 414 p.

    Research output: Book/anthology/dissertation/reportBookEducation

  25. 2013
  26. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  27. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  28. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  29. 2012
  30. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  31. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  32. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  33. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  34. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  35. 2011
  36. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  37. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  38. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  39. 2010
  40. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  41. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  42. 2009
  43. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  44. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  45. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  46. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  47. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  48. Published

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

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

    Research output: Book/anthology/dissertation/reportBookResearch

  49. 2008
  50. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperConference articleResearchpeer-review

  51. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  52. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  53. 2007
  54. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  55. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  56. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperConference articleResearchpeer-review

  57. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  58. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  59. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  60. 2006
  61. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  62. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  63. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperConference articleResearchpeer-review

  64. 2005
  65. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  66. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  67. 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, 2005. p. 611-618.

    Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearch

  68. 2004
  69. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  70. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  71. 2003
  72. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  73. 2002
  74. 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 (Contemporary mathematics, Vol. 307).

    Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearchpeer-review

  75. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  76. Published

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

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  77. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  78. 2001
  79. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  80. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  81. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  82. 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: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  83. 1999
  84. 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: Book/anthology/dissertation/reportPh.D. thesisResearch

  85. 1998
  86. Published

    Semiclassics of the quantum current. / Fournais, Søren.

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

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review