Patrick J. Rabier

Articles in Scholarly Journals [Incomplete List]

  1. Bounded Palais-Smale sequences for functionals with a mountain pass geometry
    Archiv der Mathematik, vol. 88, no. 2, pp. 143–152, 2007
  2. Corrigendum to “Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs” [J. Differential Equations 193 (2003) 460–480]
    Journal of Differential Equations, vol. 237, no. 1, pp. 257–257, 2007
  3. Riccati inequality and functional properties of differential operators on the half line
    Journal of Differential Equations, vol. 225, no. 2, pp. 573–604, 2006
  4. Superlinear convolution equations in RN
    Nonlinear Analysis, vol. 64, no. 10, pp. 2279–2308, 2006
  5. Communications in Contemporary Mathematics, vol. 7, no. 1, p. 1, 2005
  6. A degree theory for compact perturbations of proper C1 Fredholm mappings of index 0
    Abstract and Applied Analysis, vol. 2005, no. 7, pp. 707–731, 2005
  7. Transactions of the American Mathematical Society, vol. 356, no. 05, pp. 1889–1908, 2004
  8. Ascoli's theorem for functions vanishing at infinity and selected applications
    Journal of Mathematical Analysis and Applications, vol. 290, no. 1, pp. 171–189, 2004
  9. Quasilinear elliptic equations on $$\mathbb{R}^N $$with infinitely many solutions
    Nonlinear Differential Equations and Applications NoDEA, vol. 11, no. 3, pp. 311–333, 2004
  10. Elliptic problems on ?N with unbounded coefficients in classical Sobolev spaces
    Mathematische Zeitschrift, vol. 249, no. 1, pp. 1–30, 2004
  11. Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations
    Nonlinear Analysis, vol. 52, no. 3, pp. 869–890, 2003
  12. An Isomorphism Theorem for Linear Evolution Problems on the Line
    Journal of Dynamics and Differential Equations, vol. 15, no. 4, pp. 779–806, 2003
  13. Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs
    Journal of Differential Equations, vol. 193, no. 2, pp. 460–480, 2003
  14. On the Malgrange condition for complex polynomials of two variables
    manuscripta mathematica, vol. 109, no. 4, pp. 493–509, 2002
  15. Invertibility of the Poiseuille Linearization for Stationary Two-Dimensional Channel Flows: Symmetric Case
    Journal of Mathematical Fluid Mechanics, vol. 4, no. 4, pp. 327–350, 2002
  16. Invertibility of the Poiseuille Linearization for Stationary Two-Dimensional Channel Flows: Nonsymmetric Case
    Journal of Mathematical Fluid Mechanics, vol. 4, no. 4, pp. 351–373, 2002
  17. Global bifurcation for quasilinear elliptic equations on $\mathbb{R}^{N}$
    Mathematische Zeitschrift, vol. 237, no. 1, pp. 85–124, 2001
  18. Fredholm and Propernes Properties of Quasilinear Elliptic Operators on RN
    Mathematische Nachrichten, vol. 231, no. 1, pp. 129–168, 2001
  19. Mathematische Nachrichten, vol. 231, no. 1, pp. 129–168, 2001
  20. Nonlinear Fredholm Operators with Noncompact Fibers and Applications to Elliptic Problems on ?N
    Journal of Functional Analysis, vol. 187, no. 2, pp. 343–367, 2001
  21. Exponential Decay of the Solutions of Quasilinear Second-Order Equations and Pohozaev Identities
    Journal of Differential Equations, vol. 165, no. 1, pp. 199–234, 2000
  22. Sharp Existence Results¶for the Stationary Navier-Stokes Problem¶in Three-Dimensional Exterior Domains
    Archive for Rational Mechanics and Analysis, vol. 154, no. 4, pp. 343–368, 2000
  23. Journal of Elasticity, vol. 58, no. 2, pp. 155–176, 2000
  24. The Hopf bifurcation theorem for quasilinear differential-algebraic equations
    Computer Methods in Applied Mechanics and Engineering, vol. 170, no. 3-4, pp. 355–371, 1999
  25. Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems
    SIAM Journal on Scientific Computing, vol. 19, no. 6, p. 1870, 1998
  26. Boundary-hybrid finite elements and a posteriori error estimation
    Computer Methods in Applied Mechanics and Engineering, vol. 153, no. 3-4, pp. 167–193, 1998
  27. On boundary-hybrid finite element methods for the Laplace equation
    Computer Methods in Applied Mechanics and Engineering, vol. 150, no. 1-4, pp. 273–287, 1997
  28. Ehresmann Fibrations and Palais-Smale Conditions for Morphisms of Finsler Manifolds
    The Annals of Mathematics, vol. 146, no. 3, p. 647, 1997
  29. On components of polynomial automorphisms in two variables
    Communications in Algebra, vol. 24, no. 3, pp. 929–937, 1996
  30. Classical and generalized solutions of time-dependent linear differential-algebraic equations
    Linear Algebra and its Applications, vol. 245, pp. 259–293, 1996
  31. Time-dependent linear DAEs with discontinuous inputs
    Linear Algebra and its Applications, vol. 247, pp. 1–29, 1996
  32. Discontinuous solutions of semilinear differential-algebraic equations—I. Distribution solutions
    Nonlinear Analysis, vol. 27, no. 11, pp. 1241–1256, 1996
  33. Discontinuous solutions of semilinear differential-algebraic equations—II. P-consistency
    Nonlinear Analysis, vol. 27, no. 11, pp. 1257–1280, 1996
  34. Parallel algorithms for maximal monotone operators of local type
    Numerische Mathematik, vol. 71, no. 1, pp. 29–58, 1995
  35. Peaceman—Rachford procedure and domain decomposition for finite element problems
    Numerical Linear Algebra with Applications, vol. 2, no. 4, pp. 363–393, 1995
  36. The element separation property and parallel finite element methods for the Navier-Stokes equation
    Applied Mathematics Letters, vol. 8, no. 4, pp. 97–102, 1995
  37. Global Surjectivity of Submersions Via Contractibility of the Fibers
    Transactions of the American Mathematical Society, vol. 347, no. 9, p. 3405, 1995
  38. SIAM Journal on Numerical Analysis, vol. 32, no. 1, Article ID 0732013, 1995
  39. On the Computation of Impasse Points of Quasi-Linear Differential-Algebraic Equations
    Mathematics of Computation, vol. 62, no. 205, p. 133, 1994
  40. Finite difference methods for time dependent, linear differential algebraic equations
    Applied Mathematics Letters, vol. 7, no. 2, pp. 29–34, 1994
  41. On Impasse Points of Quasilinear Differential-Algebraic Equations
    Journal of Mathematical Analysis and Applications, vol. 181, no. 2, pp. 429–454, 1994
  42. Orientability of Fredholm Families and Topological Degree for Orientable Nonlinear Fredholm Mappings
    Journal of Functional Analysis, vol. 124, no. 1, pp. 1–39, 1994
  43. A Geometric Treatment of Implicit Differential-Algebraic Equations
    Journal of Differential Equations, vol. 109, no. 1, pp. 110–146, 1994
  44. A nonstandard symmetry breaking phenomenon in sheet metal stretching
    International Journal of Engineering Science, vol. 32, no. 9, pp. 1381–1397, 1994
  45. Intrinsic Isotropy Subgroups of Finite Groups
    Journal of Algebra, vol. 154, no. 1, pp. 108–124, 1993
  46. On global diffeomorphisms of euclidian space
    Nonlinear Analysis, vol. 21, no. 12, pp. 925–947, 1993
  47. Generic aspects of convexification with applications to thermodynamic equilibrium
    Archive for Rational Mechanics and Analysis, vol. 118, no. 4, pp. 349–397, 1992
  48. Domain decomposition via operator splitting for nonsymmetric problems
    Applied Mathematics Letters, vol. 5, no. 2, pp. 67–70, 1992
  49. Topological degree and the theorem of Borsuk for general covariant mappings with applications
    Nonlinear Analysis, vol. 16, no. 5, pp. 399–420, 1991
  50. On a computational method for the second fundamental tensor and its application to bifurcation problems
    Numerische Mathematik, vol. 57, no. 1, pp. 681–694, 1990
  51. On the Smoothness of Convex Envelopes
    Transactions of the American Mathematical Society, vol. 322, no. 2, p. 691, 1990
  52. New existence results for some nonconvex optimization problems
    Communications in Partial Differential Equations, vol. 14, no. 6, pp. 699–740, 1989
  53. Generalized Jordan chains and two bifurcation theorems of Krasnoselskii
    Nonlinear Analysis, vol. 13, no. 8, pp. 903–934, 1989
  54. Some remarks on damage theory
    International Journal of Engineering Science, vol. 27, no. 1, pp. 29–54, 1989
  55. Implicit differential equations near a singular point*1
    Journal of Mathematical Analysis and Applications, vol. 144, no. 2, pp. 425–449, 1989
  56. Solution to Signorini-like contact problems through interface models—II. Existence and uniqueness theorems
    Nonlinear Analysis, vol. 12, no. 1, pp. 1–17, 1988
  57. Addendum
    Nonlinear Analysis, vol. 12, no. 8, p. 825, 1988
  58. Solution to signorini-like contact problems through interface models—I. preliminaries and formulation of a variational equality
    Nonlinear Analysis, vol. 11, no. 12, pp. 1325–1350, 1987
  59. SIAM Journal on Mathematical Analysis, vol. 18, no. 4, Article ID 0518082, 1987
  60. Singularly perturbed systems
    Applicable Analysis, vol. 24, no. 1, pp. 53–99, 1987
  61. SIAM Journal on Numerical Analysis, vol. 23, no. 5, Article ID 0723072, 1986
  62. Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws
    International Journal of Engineering Science, vol. 24, no. 11, pp. 1755–1768, 1986
  63. Definition and properties of a particular notion of convexity
    Numerical Functional Analysis and Optimization, vol. 7, no. 4, pp. 279–302, 1985
  64. SIAM Journal on Mathematical Analysis, vol. 15, no. 2, Article ID 0515029, 1984
  65. A generalization of the implicit function theorem for mappings from into and its applications
    Journal of Functional Analysis, vol. 56, no. 2, pp. 145–170, 1984