Gary M. Lieberman

Articles in Scholarly Journals [Incomplete List]

  1. Interior Gradient Estimates for Nonuniformly Parabolic Equations II
    Boundary Value Problems, vol. 2007, Article ID 35825, 28 pages, 2007
  2. Bounds for the Steady-State Sel'kov Model for Arbitrary p in Any Number of Dimensions
    SIAM Journal on Mathematical Analysis, vol. 36, no. 5, p. 1400, 2005
  3. Maximum estimates for oblique derivative problems with right hand side in L p , p < n
    manuscripta mathematica, vol. 112, no. 4, pp. 459–472, 2003
  4. A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with VMO coefficients
    Journal of Functional Analysis, vol. 201, no. 2, pp. 457–479, 2003
  5. Time-periodic solutions of quasilinear parabolic differential equations III: conormal boundary conditions
    Nonlinear Analysis, vol. 45, no. 6, pp. 755–773, 2001
  6. Time-Periodic Solutions of Quasilinear Parabolic Differential Equations I. Dirichlet Boundary Conditions
    Journal of Mathematical Analysis and Applications, vol. 264, no. 2, pp. 617–638, 2001
  7. Pointwise Estimates for Oblique Derivative Problems in Nonsmooth Domains
    Journal of Differential Equations, vol. 173, no. 1, pp. 178–211, 2001
  8. Blow-up on the boundary for the heat equation
    Calculus of Variations and Partial Differential Equations, vol. 10, no. 1, pp. 85–99, 2000
  9. A proof of existence of perturbed steady transonic shocks via a free boundary problem
    Communications on Pure and Applied Mathematics, vol. 53, no. 4, pp. 484–511, 2000
  10. Time-periodic solutions of linear parabolic differential equations
    Communications in Partial Differential Equations, vol. 24, no. 3, pp. 631–663, 1999
  11. Proceedings of the American Mathematical Society, vol. 125, no. 06, pp. 1785–1793, 1997
  12. Maximum Estimates for Solutions of Degenerate Parabolic Equations in Divergence Form
    Journal of Differential Equations, vol. 113, no. 2, pp. 543–571, 1994
  13. Study of global solutions of parabolic equations viaa priori estimates. Part I: Equations with principal elliptic part equal to the laplacian
    Mathematical Methods in the Applied Sciences, vol. 16, no. 7, pp. 457–474, 1993
  14. Gradient estimates for a class of elliptic systems
    Annali di Matematica Pura ed Applicata, vol. 164, no. 1, pp. 103–120, 1993
  15. Boundary and initial regularity for solutions of degenerate parabolic equations
    Nonlinear Analysis, vol. 20, no. 5, pp. 551–569, 1993
  16. Sharp forms of estimates for subsolutions and supersolutions of quasilinear elliptic equations involving measures
    Communications in Partial Differential Equations, vol. 18, no. 7, pp. 1191–1212, 1993
  17. The Conormal Derivative Problem for Equations of Variational Type in Nonsmooth Domains
    Transactions of the American Mathematical Society, vol. 330, no. 1, p. 41, 1992
  18. Indiana University Mathematics Journal, vol. 40, no. 3, Article ID 40045, 1991
  19. The natural generalizationj of the natural conditions of ladyzhenskaya and uralltseva for elliptic equations
    Communications in Partial Differential Equations, vol. 16, no. 2, pp. 311–361, 1991
  20. Indiana University Mathematics Journal, vol. 39, no. 1, Article ID 39015, 1990
  21. On The Hölder Gradient Estimate For Solutions Of Nonlinear Elliptic And Parabolic Oblique Boundary Value Problems
    Communications in Partial Differential Equations, vol. 15, no. 4, pp. 515–523, 1990
  22. On critical exponents for some quasilinear parabolic equations
    Mathematical Methods in the Applied Sciences, vol. 12, no. 5, pp. 429–438, 1990
  23. Initial regularity for solutions of degenerate parabolic equations
    Nonlinear Analysis, vol. 14, no. 6, pp. 525–536, 1990
  24. Boundary regularity for solutions of degenerate parabolic equations
    Nonlinear Analysis, vol. 14, no. 6, pp. 501–524, 1990
  25. Intermediate schauder theory for second order parabolic equations iii. the tusk conditions
    Applicable Analysis, vol. 33, no. 1, pp. 25–43, 1989
  26. Optimal H?lder regularity for mixed boundary value problems
    Journal of Mathematical Analysis and Applications, vol. 143, no. 2, pp. 572–586, 1989
  27. Indiana University Mathematics Journal, vol. 37, no. 1, Article ID 37002, 1988
  28. Boundary regularity for solutions of degenerate elliptic equations
    Nonlinear Analysis, vol. 12, no. 11, pp. 1203–1219, 1988
  29. Gradient estimates for capillary-type problems via the maximum principle
    Communications in Partial Differential Equations, vol. 13, no. 1, pp. 33–59, 1988
  30. A Generalization of the Flat Cone Condition for Regularity of Solutions of Elliptic Equations
    Proceedings of the American Mathematical Society, vol. 100, no. 2, p. 289, 1987
  31. Gradient bounds for solutions of nonuniformly elliptic oblique derivative problems
    Nonlinear Analysis, vol. 11, no. 1, pp. 49–61, 1987
  32. Hölder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions
    Annali di Matematica Pura ed Applicata, vol. 148, no. 1, pp. 77–99, 1987
  33. Correction to «Holder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions»
    Annali di Matematica Pura ed Applicata, vol. 148, no. 1, pp. 397–398, 1987
  34. Two-Dimensional Nonlinear Boundary Value Problems for Elliptic Equations
    Transactions of the American Mathematical Society, vol. 300, no. 1, p. 287, 1987
  35. Local Estimates for Subsolutions and Supersolutions of Oblique Derivative Problems for General Second Order Elliptic Equations
    Transactions of the American Mathematical Society, vol. 304, no. 1, p. 343, 1987
  36. Mixed boundary value problems for elliptic and parabolic differential equations of second order
    Journal of Mathematical Analysis and Applications, vol. 113, no. 2, pp. 422–440, 1986
  37. Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
    Transactions of the American Mathematical Society, vol. 295, no. 2, p. 509, 1986
  38. Intermediate Schauder theory for second order parabolic equations. I. Estimates
    Journal of Differential Equations, vol. 63, no. 1, pp. 1–31, 1986
  39. Intermediate Schauder theory for second order parabolic equations II. Existence, uniqueness, and regularity
    Journal of Differential Equations, vol. 63, no. 1, pp. 32–57, 1986
  40. Intermediate Schauder estimates for oblique derivative problems
    Archive for Rational Mechanics and Analysis, vol. 93, no. 2, pp. 129–134, 1986
  41. Indiana University Mathematics Journal, vol. 35, no. 3, Article ID 35033, 1986
  42. Global regularity of solutions of nonlinear second order elliptic and parabolic differential equations
    Mathematische Zeitschrift, vol. 193, no. 3, pp. 331–346, 1986
  43. The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
    Communications in Partial Differential Equations, vol. 11, no. 2, pp. 167–229, 1986
  44. Solvability of quasilinear elliptic equations with nonlinear boundary conditions. II
    Journal of Functional Analysis, vol. 56, no. 2, pp. 210–219, 1984
  45. The nonlinear oblique derivative problem for quasilinear elliptic equations
    Nonlinear Analysis, vol. 8, no. 1, pp. 49–65, 1984
  46. The conormal derivative problem for elliptic equations of variational type
    Journal of Differential Equations, vol. 49, no. 2, pp. 218–257, 1983
  47. Indiana University Mathematics Journal, vol. 32, no. 4, Article ID 32041, 1983
  48. Solvability of Quasilinear Elliptic Equations with Nonlinear Boundary Conditions
    Transactions of the American Mathematical Society, vol. 273, no. 2, p. 753, 1982
  49. The Dirichlet problem for quasilinear elliptic equations with H?lder continuous boundary values
    Archive for Rational Mechanics and Analysis, vol. 79, no. 4, 1982
  50. The quasilinear dirichlet problem with decreased regularity at the boundary
    Communications in Partial Differential Equations, vol. 6, no. 4, pp. 437–497, 1981