Thomas Bartsch

Articles in Scholarly Journals [Incomplete List]

  1. Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation
    Mathematische Annalen, vol. 338, no. 1, pp. 147–185, 2007
  2. Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities
    Calculus of Variations and Partial Differential Equations, vol. 30, no. 1, pp. 113–136, 2007
  3. On the Existence and the Profile of Nodal solutions of Elliptic Equations Involving Critical Growth
    Calculus of Variations and Partial Differential Equations, vol. 26, no. 3, pp. 265–282, 2006
  4. Existence and nonexistence results for critical growth polyharmonic elliptic systems
    Journal of Differential Equations, vol. 220, no. 2, pp. 531–543, 2006
  5. Solutions of nonlinear Dirac equations
    Journal of Differential Equations, vol. 226, no. 1, pp. 210–249, 2006
  6. Deformation theorems on non-metrizable vector spaces and applications to critical point theory
    Mathematische Nachrichten, vol. 279, no. 12, pp. 1267–1288, 2006
  7. Semiclassical symmetric Schrödinger equations: Existence of solutions concentrating simultaneously on several spheres
    Zeitschrift für angewandte Mathematik und Physik, vol. 58, no. 5, pp. 778–804, 2006
  8. Identifying reactive trajectories using a moving transition state
    The Journal of Chemical Physics, vol. 124, no. 24, p. 244310, 2006
  9. Extracting Multidimensional Phase Space Topology from Periodic Orbits
    Physical Review Letters, vol. 97, no. 10, 2006
  10. Nodal solutions of a p-Laplacian equation
    Proceedings of the London Mathematical Society, vol. 91, no. 1, pp. 129–152, 2005
  11. Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: closed orbit theory with bifurcating orbits
    Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 38, no. 2, pp. S219–S239, 2005
  12. Semiclassical ionization dynamics of the hydrogen molecular ion in an electric field of arbitrary orientation
    Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 38, no. 2, pp. S241–S260, 2005
  13. Stochastic transition states: Reaction geometry amidst noise
    The Journal of Chemical Physics, vol. 123, no. 20, p. 204102, 2005
  14. Three nodal solutions of singularly perturbed elliptic equations on domains without topology
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 22, no. 3, pp. 259–281, 2005
  15. Superstable Manifolds of Semilinear Parabolic Problems
    Journal of Dynamics and Differential Equations, vol. 17, no. 1, pp. 115–173, 2005
  16. Transition State in a Noisy Environment
    Physical Review Letters, vol. 95, no. 5, 2005
  17. Multiple solutions of a critical polyharmonic equation
    Journal f�r die reine und angewandte Mathematik (Crelles Journal), vol. 2004, no. 571, pp. 131–143, 2004
  18. Communications in Contemporary Mathematics, vol. 6, no. 2, p. 245, 2004
  19. On a superlinear elliptic p-Laplacian equation
    Journal of Differential Equations, vol. 198, no. 1, pp. 149–175, 2004
  20. Sign Changing Solutions of Superlinear Schr?dinger Equations
    Communications in Partial Differential Equations, vol. 29, no. 1&2, pp. 25–42, 2004
  21. Dielectronic Recombination of Very Heavy Lithiumlike Ions
    Hyperfine Interactions, vol. 146/147, no. 1-4, pp. 41–45, 2003
  22. The Kustaanheimo–Stiefel transformation in geometric algebra
    Journal of Physics A: Mathematical and General, vol. 36, no. 25, pp. 6963–6978, 2003
  23. The hydrogen atom in an electric field: closed-orbit theory with bifurcating orbits
    Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 36, no. 6, pp. 1231–1254, 2003
  24. Uniform semiclassical approximations on a topologically non-trivial configuration space
    The European Physical Journal D - Atomic, Molecular and Optical Physics, vol. 25, no. 2, pp. 129–138, 2003
  25. A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
    Calculus of Variations and Partial Differential Equations, vol. 18, no. 3, pp. 253–268, 2003
  26. Autoionizing high-Rydberg states of very heavy Be-like ions: A tool for precision spectroscopy
    Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol. 205, pp. 66–69, 2003
  27. Homoclinic solutions of an infinite-dimensional Hamiltonian system
    Mathematische Zeitschrift, vol. 240, no. 2, pp. 289–310, 2002
  28. Dielectronic Recombination (via N?=?2?N'?=?2 Core Excitations) and Radiative Recombination of Fe xx: Laboratory Measurements and Theoretical Calculations
    The Astrophysical Journal Supplement Series, vol. 138, no. 2, pp. 337–370, 2002
  29. Dielectronic Recombination of Fe xix Forming Fe xviii: Laboratory Measurements and Theoretical Calculations
    The Astrophysical Journal, vol. 576, no. 2, pp. 1098–1107, 2002
  30. Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry
    Nonlinear Analysis, vol. 44, no. 6, pp. 727–748, 2001
  31. Communications in Contemporary Mathematics, vol. 3, no. 4, p. 549, 2001
  32. Critical Point Theory on Partially Ordered Hilbert Spaces
    Journal of Functional Analysis, vol. 186, no. 1, pp. 117–152, 2001
  33. Multiple positive solutions for a nonlinear Schrödinger equation
    Zeitschrift für angewandte Mathematik und Physik , vol. 51, no. 3, p. 366, 2000
  34. Multiple positive solutions for a nonlinear Schrödinger equation
    Zeitschrift für angewandte Mathematik und Physik, vol. 51, no. 3, pp. 366–384, 2000
  35. On the Morse indices of sign changing solutions of nonlinear elliptic problems
    Mathematische Zeitschrift, vol. 233, no. 4, pp. 655–677, 2000
  36. Dielectronic recombination of lithiumlike Ni^{25+} ions: High-resolution rate coefficients and influence of external crossed electric and magnetic fields
    Physical Review A, vol. 62, no. 2, 2000
  37. Recombination of bare Bi^{83+} ions with electrons
    Physical Review A, vol. 63, no. 1, 2000
  38. Influence of Magnetic Fields on Electron-Ion Recombination at Very Low Energies
    Physical Review Letters, vol. 84, no. 21, pp. 4822–4825, 2000
  39. Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 33, no. 12, pp. L453–L460, 2000
  40. Experimental search for interference effects in the total e^{-}+Sc^{3+} recombination rate
    Physical Review A, vol. 59, no. 4, pp. 3092–3094, 1999
  41. Dielectronic recombination of ground-state and metastable Li^{+} ions
    Physical Review A, vol. 60, no. 5, pp. R3350–R3353, 1999
  42. Experimental Evidence for Magnetic Field Effects on Dielectronic Recombination via High Rydberg States
    Physical Review Letters, vol. 82, no. 19, pp. 3779–3782, 1999
  43. Journal of Physics A: Mathematical and General, vol. 32, no. 16, pp. 3013–3027, 1999
  44. Dielectronic Recombination in Photoionized Gas. II. Laboratory Measurements for Fe xviii and Fe xix
    The Astrophysical Journal Supplement Series, vol. 123, no. 2, pp. 687–702, 1999
  45. On a nonlinear Schrödinger equation with periodic potential
    Mathematische Annalen, vol. 313, no. 1, pp. 15–37, 1999
  46. Uniform Approximations for Non-generic Bifurcation Scenarios Including Bifurcations of Ghost Orbits
    Annals of Physics, vol. 277, no. 1, pp. 19–73, 1999
  47. Periodic Solutions of a Wave Equation with Concave and Convex Nonlinearities
    Journal of Differential Equations, vol. 153, no. 1, pp. 121–141, 1999
  48. Recombination of F6+ with Free Electrons at Very Low Energies
    Physica Scripta, vol. T80, no. B, p. 298, 1999
  49. Field Enhanced Dielectronic Recombination of Si11+ and Cl14+ Ions
    Physica Scripta, vol. T80, no. B, p. 305, 1999
  50. Photorecombination of Sc3+ and Ti4+ Ions: Search for Interference Effects and Recombination at low Energies
    Physica Scripta, vol. T80, no. B, p. 314, 1999
  51. Recombination Measurements of the Heaviest Ions
    Physica Scripta, vol. T80, no. B, p. 318, 1999
  52. Hyperfine Interactions, vol. 114, no. 1/4, pp. 273–276, 1998
  53. Hyperfine Interactions, vol. 114, no. 1/4, pp. 229–235, 1998
  54. Hyperfine Interactions, vol. 114, no. 1/4, pp. 251–256, 1998
  55. Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 31, no. 21, pp. 4873–4886, 1998
  56. Field Enhanced Dielectronic Recombination of Si^{11+} Ions
    Physical Review Letters, vol. 79, no. 12, pp. 2233–2236, 1997
  57. Hyperfine Interactions, vol. 108, no. 1/3, pp. 177–183, 1997
  58. Hyperfine Interactions, vol. 108, no. 1/3, pp. 149–154, 1997
  59. Dielectronic Recombination in Photoionized Gas: The Importance of Fine-structure Core Excitations
    The Astrophysical Journal, vol. 489, no. 1, pp. L115–L118, 1997
  60. Periodic Solutions of Spatially Periodic, Even Hamiltonian Systems
    Journal of Differential Equations, vol. 135, no. 1, pp. 103–128, 1997
  61. Periodic solutions of even Hamiltonian systems on the torus
    Mathematische Zeitschrift, vol. 224, no. 1, pp. 65–76, 1997
  62. A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 14, no. 6, pp. 691–718, 1997
  63. Even Hamiltonian systems on Tori and cotangent spaces of Tori
    Nonlinear Analysis, vol. 30, no. 7, pp. 4123–4134, 1997
  64. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
    Nonlinear Analysis, vol. 28, no. 3, pp. 419–441, 1997
  65. Critical Point Theory for Indefinite Functionals with Symmetries
    Journal of Functional Analysis, vol. 138, no. 1, pp. 107–136, 1996
  66. Existence and multiplicity results for some superlinear elliptic problems on RN
    Communications in Partial Differential Equations, vol. 20, no. 9, pp. 1725–1741, 1995
  67. On an Elliptic Equation with Concave and Convex Nonlinearities
    Proceedings of the American Mathematical Society, vol. 123, no. 11, p. 3555, 1995
  68. A simple proof of the degree formula for (Z/p)-equivariant maps/p)-equivariant maps
    Mathematische Zeitschrift, vol. 212, no. 1, pp. 285–292, 1993
  69. Infinitely Many Nonradial Solutions of a Euclidean Scalar Field Equation
    Journal of Functional Analysis, vol. 117, no. 2, pp. 447–460, 1993
  70. Infinitely many radial solutions of a semilinear elliptic problem on ?N
    Archive for Rational Mechanics and Analysis, vol. 124, no. 3, pp. 261–276, 1993
  71. Infinitely many solutions of a symmetric Dirichlet problem
    Nonlinear Analysis, vol. 20, no. 10, pp. 1205–1216, 1993
  72. On the existence of Borsuk-Ulam theorems
    Topology, vol. 31, no. 3, pp. 533–543, 1992
  73. The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces
    Mathematische Annalen, vol. 293, no. 1, pp. 523–542, 1992
  74. The Conley index over a space
    Mathematische Zeitschrift, vol. 209, no. 1, pp. 167–177, 1992
  75. The global structure of the zero set of a family of semilinear Fredholm maps
    Nonlinear Analysis, vol. 17, no. 4, pp. 313–331, 1991
  76. The Leray-Schauder degree of -equivariant operators associated to autonomous neutral equations in spaces of periodic functions
    Journal of Differential Equations, vol. 92, no. 1, pp. 90–99, 1991
  77. Bifurcation theory for symmetric potential operators and the equivariant cup-length
    Mathematische Zeitschrift, vol. 204, no. 1, pp. 341–356, 1990
  78. On the genus of representation spheres
    Commentarii Mathematici Helvetici, vol. 65, no. 1, pp. 85–95, 1990