E. N. Dancer

Articles in Scholarly Journals [Incomplete List]

  1. Supercritical finite Morse index solutions
    Nonlinear Analysis, vol. 66, no. 1, pp. 268–269, 2007
  2. Transactions of the American Mathematical Society, vol. 359, no. 04, pp. 1765–1791, 2007
  3. On Multiple Radial Solutions of a Singularly Perturbed Nonlinear Elliptic System
    SIAM Journal on Mathematical Analysis, vol. 38, no. 6, p. 2005, 2007
  4. UNIQUENESS AND NONEXISTENCE OF POSITIVE SOLUTIONS TO SEMIPOSITONE PROBLEMS
    Bulletin of the London Mathematical Society, vol. 38, no. 06, p. 1033, 2006
  5. Solutions with interior and boundary peaks for the Neumann problem of an elliptic system of FitzHugh-Nagumo type
    Indiana University Mathematics Journal, vol. 55, no. 1, pp. 217–258, 2006
  6. Interior peak solutions for an elliptic system of FitzHughâ??Nagumo type
    Journal of Differential Equations, vol. 229, no. 2, pp. 654–679, 2006
  7. Proceedings of the American Mathematical Society, vol. 134, no. 11, pp. 3223–3231, 2006
  8. Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type
    Mathematische Annalen, vol. 335, no. 3, pp. 527–569, 2006
  9. Conley indices on convex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations
    Journal of Fixed Point Theory and Applications, vol. 1, no. 1, pp. 47–60, 2006
  10. On the Superlinear Lazerâ??McKenna Conjecture: Part II
    Communications in Partial Differential Equations, vol. 30, no. 9, pp. 1331–1358, 2005
  11. On the superlinear Lazer?McKenna conjecture
    Journal of Differential Equations, vol. 210, no. 2, pp. 317–351, 2005
  12. Multipeak solutions for the Neumann problem of an elliptic system of Fitzhugh–Nagumo type
    Proceedings of the London Mathematical Society, vol. 90, no. 1, pp. 209–244, 2005
  13. Transactions of the American Mathematical Society, vol. 357, no. 03, pp. 1225–1244, 2005
  14. Stable and finite Morse Index solutions on R^n or on bounded domains with small diffusion II
    Indiana University Mathematics Journal, vol. 53, no. 1, pp. 97–108, 2004
  15. Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
    Nonlinear Analysis: Real World Applications, vol. 5, no. 4, pp. 645–665, 2004
  16. A minimization problem associated with elliptic systems of FitzHugh–Nagumo type
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 21, no. 2, pp. 237–253, 2004
  17. A minimization problem associated with elliptic systems ofBFitzHugh?Nagumo type*1
    Annales de l?Institut Henri Poincare (C) Non Linear Analysis, vol. 21, no. 2, pp. 237–253, 2004
  18. Construction of various types of solutions for an elliptic problem
    Calculus of Variations and Partial Differential Equations, vol. 20, no. 1, pp. 93–118, 2004
  19. Real analyticity and non-degeneracy
    Mathematische Annalen, vol. 325, no. 2, pp. 369–392, 2003
  20. Multi-layer solutions for an elliptic problem
    Journal of Differential Equations, vol. 194, no. 2, pp. 382–405, 2003
  21. Proceedings of the American Mathematical Society, vol. 131, no. 06, pp. 1891–1900, 2003
  22. On a free boundary problem arising from population biology
    Indiana University Mathematics Journal, vol. 52, no. 1, pp. 51–68, 2003
  23. Effects of Certain Degeneracies in the Predator-Prey Model
    SIAM Journal on Mathematical Analysis, vol. 34, no. 2, p. 292, 2002
  24. Transactions of the American Mathematical Society, vol. 354, no. 09, pp. 3573–3601, 2002
  25. BIFURCATION FROM SIMPLE EIGENVALUES AND EIGENVALUES OF GEOMETRIC MULTIPLICITY ONE
    Bulletin of the London Mathematical Society, vol. 34, no. 5, pp. 533–538, 2002
  26. MULTIBUMP SOLUTIONS FOR AN ELLIPTIC PROBLEM IN EXPANDING DOMAINS
    Communications in Partial Differential Equations, vol. 27, no. 1-2, pp. 23–55, 2002
  27. Journal of Dynamics and Differential Equations, vol. 14, no. 2, pp. 405–441, 2002
  28. Dynamics in the neighbourhood. of a continuum of fixed points
    Annali di Matematica Pura ed Applicata, vol. 180, no. 4, pp. 483–492, 2002
  29. Dynamics of Lotka–Volterra Competition Systems with Large Interaction
    Journal of Differential Equations, vol. 182, no. 2, pp. 470–489, 2002
  30. Some Remarks on the Fucík Spectrum of the p-Laplacian and Critical Groups
    Journal of Mathematical Analysis and Applications, vol. 254, no. 1, pp. 164–177, 2001
  31. Communications in Contemporary Mathematics, vol. 3, no. 1, p. 1, 2001
  32. The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations
    Abstract and Applied Analysis, vol. 6, no. 2, pp. 71–99, 2001
  33. Fucik Spectrum, Sign-Changing, and Multiple Solutions for Semilinear Elliptic Boundary Value Problems with Resonance at Infinity,
    Journal of Mathematical Analysis and Applications, vol. 250, no. 2, pp. 449–464, 2000
  34. The Regularity and Local Bifurcation of¶Steady Periodic Water Waves
    Archive for Rational Mechanics and Analysis, vol. 152, no. 3, pp. 207–240, 2000
  35. The Sub-Harmonic Bifurcation of Stokes Waves
    Archive for Rational Mechanics and Analysis, vol. 152, no. 3, pp. 241–271, 2000
  36. Infinitely many turning points for some supercritical problems
    Annali di Matematica Pura ed Applicata, vol. 178, no. 1, pp. 225–233, 2000
  37. Transactions of the American Mathematical Society, vol. 352, no. 08, pp. 3723–3743, 2000
  38. Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains
    Nonlinear Analysis, vol. 41, no. 5-6, pp. 745–761, 2000
  39. On the global bifurcation diagram for the one-dimensional Ginzburg–Landau model of superconductivity
    European Journal of Applied Mathematics, vol. 11, no. 3, pp. 271–291, 2000
  40. Spatial segregation limit of a competition–diffusion system
    European Journal of Applied Mathematics, vol. 10, no. 2, pp. 97–115, 1999
  41. On the Location of Spikes of Solutions with Two Sharp Layers for a Singularly Perturbed Semilinear Dirichlet Problem
    Journal of Differential Equations, vol. 157, no. 1, pp. 82–101, 1999
  42. Interior and Boundary Peak Solutions for a Mixed Boundary Value Problem
    Indiana University Mathematics Journal, vol. 48, no. 4, pp. 0–0, 1999
  43. The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations
    Abstract and Applied Analysis, vol. 3, no. 3-4, pp. 293–318, 1998
  44. Superlinear problems on domains with holes of asymptotic shape and exterior problems
    Mathematische Zeitschrift, vol. 229, no. 3, pp. 475–491, 1998
  45. Sur les ondes de Stokes et une conjecture de Levi-Civita
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 326, no. 11, pp. 1265–1268, 1998
  46. Proceedings of the American Mathematical Society, vol. 126, no. 03, pp. 801–808, 1998
  47. Domain Perturbation for Elliptic Equations Subject to Robin Boundary Conditions
    Journal of Differential Equations, vol. 138, no. 1, pp. 86–132, 1997
  48. A Note on Multiple Solutions of Some Semilinear Elliptic Problems
    Journal of Mathematical Analysis and Applications, vol. 211, no. 2, pp. 626–640, 1997
  49. Some Singularly Perturbed Problems on Annuli and a Counterexample to a Problem of Gidas, Ni and Nirenberg
    Bulletin of the London Mathematical Society, vol. 29, no. 3, pp. 322–326, 1997
  50. The generalized Conley index and multiple solutions of semilinear elliptic problems
    Abstract and Applied Analysis, vol. 1, no. 1, pp. 103–135, 1996
  51. Real transformations with polynomial invariants
    Journal of Geometry and Physics, vol. 19, no. 2, pp. 99–122, 1996
  52. Positive solutions for a three-species competition system with diffusion—I. General existence results
    Nonlinear Analysis, vol. 24, no. 3, pp. 337–357, 1995
  53. Positive solutions for a three-species competition system with diffusion—II. The case of equal birth rates
    Nonlinear Analysis, vol. 24, no. 3, pp. 359–373, 1995
  54. On sign-changing solutions of certain semilinear elliptic problems
    Applicable Analysis, vol. 56, no. 3, pp. 193–206, 1995
  55. Multiple Solutions of Some Semilinear Elliptic Equations via the Generalized Conley Index
    Journal of Mathematical Analysis and Applications, vol. 189, no. 3, pp. 848–871, 1995
  56. Stable Subharmonic Solutions in Periodic Reaction-Diffusion Equations
    Journal of Differential Equations, vol. 108, no. 1, pp. 190–200, 1994
  57. Competing Species Equations with Diffusion, Large Interactions, and Jumping Nonlinearities
    Journal of Differential Equations, vol. 114, no. 2, pp. 434–475, 1994
  58. The index of lyapunov stable fixed points in two dimensions
    Journal of Dynamics and Differential Equations, vol. 6, no. 4, pp. 631–637, 1994
  59. The symmetry of positive solutions of periodic-parabolic problems
    Journal of Computational and Applied Mathematics, vol. 52, no. 1-3, pp. 81–89, 1994
  60. A Liapunov-type result with application to a Dirichlet-type two-point boundary value problem at resonance
    Nonlinear Analysis, vol. 22, no. 3, pp. 305–318, 1994
  61. On Uniqueness and Stability for Solutions of Singularly Perturbed Predator-Prey Type Equations with Diffusion
    Journal of Differential Equations, vol. 102, no. 1, pp. 1–32, 1993
  62. The Structure of a Nonlinear Elliptic Operator
    Transactions of the American Mathematical Society, vol. 338, no. 1, p. 1, 1993
  63. A note on uniqueness for the plasma problem
    ZAMP Zeitschrift für angewandte Mathematik und Physik, vol. 43, no. 2, pp. 397–400, 1992
  64. Addendum
    Journal of Differential Equations, vol. 97, no. 2, pp. 379–381, 1992
  65. Upper and lower stability and index theory for positive mappings and applications
    Nonlinear Analysis, vol. 17, no. 3, pp. 205–217, 1991
  66. On the number of positive solutions of some weakly nonlinear equations on annular regions
    Mathematische Zeitschrift, vol. 206, no. 1, pp. 551–562, 1991
  67. On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
    Transactions of the American Mathematical Society, vol. 326, no. 2, p. 829, 1991
  68. Certain weakly nonlinear partial differential equations on annuli
    Nonlinear Analysis, vol. 14, no. 5, pp. 441–442, 1990
  69. The effect of domain shape on the number of positive solutions of certain nonlinear equations, II
    Journal of Differential Equations, vol. 87, no. 2, pp. 316–339, 1990
  70. A counterexample to the Lazer–McKenna conjecture
    Nonlinear Analysis, vol. 13, no. 1, pp. 19–21, 1989
  71. On the influence of domain shape on the existence of large solutions of some superlinear problems
    Mathematische Annalen, vol. 285, no. 4, pp. 647–669, 1989
  72. Multiple solutions of asymptotically homogeneous problems
    Annali di Matematica Pura ed Applicata, vol. 152, no. 1, pp. 63–78, 1988
  73. The effect of domain shape on the number of positive solutions of certain nonlinear equations
    Journal of Differential Equations, vol. 74, no. 1, pp. 120–156, 1988
  74. A Note on an Equation with Critical Exponent
    Bulletin of the London Mathematical Society, vol. 20, no. 6, pp. 600–602, 1988
  75. On Positive Solutions of Semilinear Elliptic Equations
    Proceedings of the American Mathematical Society, vol. 101, no. 3, p. 445, 1987
  76. On positive solutions of some pairs of differential equations, II
    Journal of Differential Equations, vol. 60, no. 2, pp. 236–258, 1985
  77. Counterexamples to some conjectures on the number of solutions of nonlinear equations
    Mathematische Annalen, vol. 272, no. 3, pp. 421–440, 1985
  78. On Positive Solutions of Some Pairs of Differential Equations
    Transactions of the American Mathematical Society, vol. 284, no. 2, p. 729, 1984
  79. Breaking of symmetries for forced equations
    Mathematische Annalen, vol. 262, no. 4, pp. 473–486, 1983
  80. On the indices of fixed points of mappings in cones and applications
    Journal of Mathematical Analysis and Applications, vol. 91, no. 1, pp. 131–151, 1983
  81. On the existence of zeros of perturbed operators
    Nonlinear Analysis, vol. 7, no. 7, pp. 717–727, 1983
  82. Quasinormal cones in Banach spaces
    Nonlinear Analysis, vol. 7, no. 5, pp. 539–553, 1983
  83. Symmetries, degree, homotopy indices and asymptotically homogeneous problems
    Nonlinear Analysis, vol. 6, no. 7, pp. 667–686, 1982
  84. On the use of asymptotics in nonlinear boundary value problems
    Annali di Matematica Pura ed Applicata, vol. 131, no. 1, pp. 167–185, 1982
  85. On the existence of solutions of certain asymptotically homogeneous problems
    Mathematische Zeitschrift, vol. 177, no. 1, pp. 33–48, 1981
  86. On the structure of solutions of an equation in catalysis theory when a parameter is large
    Journal of Differential Equations, vol. 37, no. 3, pp. 404–437, 1980
  87. On the ranges of certain damped nonlinear differential equations
    Annali di Matematica Pura ed Applicata, Series 4, vol. 119, no. 1, pp. 281–295, 1979
  88. Some remarks on a theorem of Kachurovskii
    Journal of Mathematical Analysis and Applications, vol. 62, no. 3, pp. 525–529, 1978
  89. A Note on a Paper of Fučik and Nečas
    Mathematische Nachrichten, vol. 73, no. 1, pp. 151–153, 1976
  90. Indiana University Mathematics Journal, vol. 23, no. 11, Article ID 23087, 1974
  91. Global solution branches for positive mappings
    Archive for Rational Mechanics and Analysis, vol. 52, no. 2, 1973