P. Joseph McKenna

Articles in Scholarly Journals [Incomplete List]

  1. Gidas–Ni–Nirenberg results for finite difference equations: Estimates of approximate symmetry
    Journal of Mathematical Analysis and Applications, vol. 334, no. 1, pp. 206–222, 2007
  2. A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains
    Journal of Functional Analysis, vol. 244, no. 1, pp. 220–246, 2007
  3. Large-Amplitude Periodic Oscillations in Simple and Complex Mechanical Systems: Outgrowths from Nonlinear Analysis
    Milan Journal of Mathematics, vol. 74, no. 1, pp. 79–115, 2006
  4. A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam
    Journal of Differential Equations, vol. 224, no. 1, pp. 60–97, 2006
  5. Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations
    Boundary Value Problems, vol. 2005, no. 2, pp. 129–151, 2005
  6. On eigen-structure of a nonlinear map in
    Linear Algebra and its Applications, vol. 399, pp. 141–155, 2005
  7. Proceedings of the American Mathematical Society, vol. 132, no. 10, pp. 2951–2959, 2004
  8. A fast algorithm for the solution of the time-independent Gross–Pitaevskii equation
    Journal of Computational Physics, vol. 190, no. 1, pp. 1–21, 2003
  9. A singular Gierer–Meinhardt system of elliptic equations: the classical case
    Nonlinear Analysis, vol. 55, no. 5, pp. 521–541, 2003
  10. Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof
    Journal of Differential Equations, vol. 195, no. 1, pp. 243–269, 2003
  11. Global monotone convergence of Newton iteration for a nonlinear eigen-problem
    Linear Algebra and its Applications, vol. 357, no. 1-3, pp. 217–228, 2002
  12. The global structure of periodic solutions to a suspension bridge mechanical model
    IMA Journal of Applied Mathematics, vol. 67, no. 5, pp. 459–478, 2002
  13. On “open-economy macroeconomics using models of closed systems”
    Discrete Dynamics in Nature and Society, vol. 6, no. 3, pp. 207–212, 2001
  14. Large Torsional Oscillations in Suspension Bridges Visited Again: Vertical Forcing Creates Torsional Response
    The American Mathematical Monthly, vol. 108, no. 8, p. 738, 2001
  15. Self-organization through decoupling
    Discrete Dynamics in Nature and Society, vol. 5, no. 1, pp. 53–57, 2000
  16. Nonlinear Dynamics, vol. 21, no. 1, pp. 31–53, 2000
  17. A singular Gierer–Meinhardt system of elliptic equations
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 17, no. 4, pp. 503–522, 2000
  18. Multiple Solutions for a Semilinear Boundary Value Problem: A Computational Multiplicity Proof
    Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 710–715, 2000
  19. Multiple Solitary Waves Due to Second-Harmonic Generation in Quadratic Media
    Journal of Nonlinear Science, vol. 9, no. 1, pp. 33–52, 1999
  20. Nonlinearity, vol. 10, no. 6, pp. 1763–1782, 1999
  21. Large Torsional Oscillations in Suspension Bridges Revisited: Fixing an Old Approximation
    The American Mathematical Monthly, vol. 106, no. 1, p. 1, 1999
  22. Multiple periodic solutions for a nonlinear suspension bridge equation
    IMA Journal of Applied Mathematics, vol. 63, no. 1, pp. 37–49, 1999
  23. Transactions of the American Mathematical Society, vol. 350, no. 07, pp. 2925–2938, 1998
  24. Some remarks on a singular elliptic boundary value problem
    Nonlinear Analysis, vol. 32, no. 3, pp. 305–314, 1998
  25. Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up
    Nonlinear Analysis, vol. 28, no. 7, pp. 1213–1225, 1997
  26. Travelling waves in a nonlinearly suspended beam: some computational results and four open questions
    Philosophical Transactions: Mathematical, Physical and Engineering Sciences, vol. 355, no. 1732, pp. 2175–2184, 1997
  27. Traveling Waves in a Nonlinearly Suspended Beam: Theoretical Results and Numerical Observations
    Journal of Differential Equations, vol. 136, no. 2, pp. 325–355, 1997
  28. On Singular Boundary Value Problems for the Monge–Ampére Operator
    Journal of Mathematical Analysis and Applications, vol. 197, no. 2, pp. 341–362, 1996
  29. On a Singular Quasilinear Anisotropic Elliptic Boundary Value Problem
    Transactions of the American Mathematical Society, vol. 347, no. 7, p. 2633, 1995
  30. Nonlinear periodic flexing in a floating beam
    Journal of Computational and Applied Mathematics, vol. 52, no. 1-3, pp. 287–303, 1994
  31. A singular elliptic boundary value problem
    Applied Mathematics and Computation, vol. 65, no. 1-3, pp. 183–194, 1994
  32. Galloping: nonlinear oscillation in a periodically forced loaded hanging cable
    Journal of Computational and Applied Mathematics, vol. 52, no. 1-3, pp. 23–34, 1994
  33. Nonlinear torsional flexings in a periodically forced suspended beam
    Journal of Computational and Applied Mathematics, vol. 52, no. 1-3, pp. 241–265, 1994
  34. Global Bifurcation and a Theorem of Tarantello
    Journal of Mathematical Analysis and Applications, vol. 181, no. 3, pp. 648–655, 1994
  35. A mountain pass method for the numerical solution of semilinear wave equations
    Numerische Mathematik, vol. 64, no. 1, pp. 487–509, 1993
  36. On a problem of Bieberbach and Rademacher
    Nonlinear Analysis, vol. 21, no. 5, pp. 327–335, 1993
  37. A mountain pass method for the numerical solution of semilinear elliptic problems
    Nonlinear Analysis, vol. 20, no. 4, pp. 417–437, 1993
  38. The study of a nonlinear suspension bridge equation by a variational reduction method
    Applicable Analysis, vol. 50, no. 1, pp. 73–92, 1993
  39. The Structure of the Solution Set for Periodic Oscillations in a Suspension Bridge Model
    IMA Journal of Applied Mathematics, vol. 47, no. 3, pp. 283–306, 1991
  40. On a Singular Nonlinear Elliptic Boundary-Value Problem
    Proceedings of the American Mathematical Society, vol. 111, no. 3, p. 721, 1991
  41. Non-linear flexings in a periodically forced floating beam
    Mathematical Methods in the Applied Sciences, vol. 14, no. 1, pp. 1–33, 1991
  42. SIAM Journal on Applied Mathematics, vol. 50, no. 3, Article ID 0150041, 1990
  43. On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
    Proceedings of the American Mathematical Society, vol. 110, no. 1, p. 125, 1990
  44. SIAM Review, vol. 32, no. 4, Article ID 1032120, 1990
  45. Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
    Transactions of the American Mathematical Society, vol. 315, no. 2, p. 721, 1989
  46. A Semi-Fredholm Principle for Periodically Forced Systems with Homogeneous Nonlinearities
    Proceedings of the American Mathematical Society, vol. 106, no. 1, p. 119, 1989
  47. Existence and stability of large scale nonlinear oscillations in suspension bridges
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 40, no. 2, pp. 172–200, 1989
  48. A symmetry theorem and applications to nonlinear partial differential equations
    Journal of Differential Equations, vol. 72, no. 1, pp. 95–106, 1988
  49. Nonlinear oscillations in a suspension bridge
    Archive for Rational Mechanics and Analysis, vol. 98, no. 2, 1987
  50. On the dirichlet problem for elliptic systems
    Applicable Analysis, vol. 21, no. 3, pp. 207–224, 1986
  51. On the multiplicity of the solution set of some nonlinear boundary value problems—II
    Nonlinear Analysis, vol. 10, no. 8, pp. 805–812, 1986
  52. Multiplicity results for asymptotically homogeneous semilinear boundary value problems
    Annali di Matematica Pura ed Applicata, vol. 143, no. 1, pp. 247–257, 1986
  53. Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II
    Communications in Partial Differential Equations, vol. 11, no. 15, pp. 1653–1676, 1986
  54. SIAM Journal on Mathematical Analysis, vol. 17, no. 6, Article ID 0517093, 1986
  55. Finite difference approximations to the Dirichlet problem for elliptic systems
    Numerische Mathematik, vol. 49, no. 2-3, pp. 227–237, 1986
  56. On Solutions of a Nonlinear Wave Question when the Ratio of the Period to the Length of the Interval is Irrational
    Proceedings of the American Mathematical Society, vol. 93, no. 1, p. 59, 1985
  57. Solving Semilinear Partial Differential Equations With Probabilistic Potential Theory
    Transactions of the American Mathematical Society, vol. 290, no. 2, p. 665, 1985
  58. Multiple solutions of two point boundary value problems with jumping nonlinearities
    Journal of Differential Equations, vol. 59, no. 2, pp. 266–281, 1985
  59. Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher Eigenvalues
    Nonlinear Analysis, vol. 9, no. 4, pp. 335–350, 1985
  60. Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems
    Journal of Mathematical Analysis and Applications, vol. 107, no. 2, pp. 371–395, 1985
  61. Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues
    Communications in Partial Differential Equations, vol. 10, no. 2, pp. 107–150, 1985
  62. On the multiplicity of the solution set of some nonlinear boundary value problems
    Nonlinear Analysis, vol. 8, no. 8, pp. 893–907, 1984
  63. SIAM Journal on Mathematical Analysis, vol. 15, no. 6, Article ID 0515089, 1984
  64. On nonlinear perturbations which cross the eigenvalues
    Nonlinear Analysis, vol. 7, no. 1, pp. 15–19, 1983
  65. On steady state solutions of a system of reaction-diffusion equations from biology
    Nonlinear Analysis, vol. 6, no. 6, pp. 523–530, 1982
  66. On the number of solutions of a nonlinear Dirichlet problem
    Journal of Mathematical Analysis and Applications, vol. 84, no. 1, pp. 282–294, 1981
  67. On the structure of the set of solutions to some nonlinear boundary-value problems
    Journal of Differential Equations, vol. 35, no. 2, pp. 183–199, 1980
  68. Non-self-adjoint semilinear problems at resonance in the alternative method
    Journal of Differential Equations, vol. 33, no. 3, pp. 275–293, 1979
  69. On a Superlinear Elliptic Boundary Value Problem at Resonance
    Proceedings of the American Mathematical Society, vol. 74, no. 2, p. 259, 1979
  70. Uniqueness of solutions for semilinear equations at resonance
    Nonlinear Analysis, vol. 2, no. 2, pp. 235–237, 1978
  71. Strongly nonlinear perturbations of nonnegative boundary value problems with kernel
    Journal of Differential Equations, vol. 28, no. 2, pp. 253–265, 1978