Louis Nirenberg

Articles in Scholarly Journals [Incomplete List]

  1. A Geometric Problem and the Hopf Lemma. II
    Chinese Annals of Mathematics, Series B, vol. 27, no. 2, pp. 193–218, 2006
  2. Regularity in an Unusual Variational Problem
    Journal of Mathematical Fluid Mechanics, vol. 7, no. S3, pp. S332–S348, 2005
  3. About Olga Arsen'evna Oleinik
    Journal of Mathematical Sciences, vol. 120, no. 3, p. 1241, 2004
  4. The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
    Communications on Pure and Applied Mathematics, vol. 58, no. 1, pp. 85–146, 2004
  5. Estimates for elliptic systems from composite material
    Communications on Pure and Applied Mathematics, vol. 56, no. 7, pp. 892–925, 2003
  6. The Dirichlet problem for singularly perturbed elliptic equations
    Communications on Pure and Applied Mathematics, vol. 51, no. 11-12, pp. 1445–1490, 1998
  7. The Dirichlet problem for singularly perturbed elliptic equations
    Communications on Pure and Applied Mathematics, vol. 51, no. 1112, pp. 1445–1490, 1998
  8. Monotonicity for elliptic equations in unbounded Lipschitz domains
    Communications on Pure and Applied Mathematics, vol. 50, no. 11, pp. 1089–1111, 1997
  9. applications to unbounded domains I
    Duke Mathematical Journal, vol. 81, no. 2, pp. 467–494, 1996
  10. Degree theory and BMO; part II: Compact manifolds with boundaries
    Selecta Mathematica, New Series, vol. 2, no. 3, pp. 309–368, 1996
  11. Degree theory and BMO; part I: Compact manifolds without boundaries
    Selecta Mathematica, New Series, vol. 1, no. 2, pp. 197–263, 1995
  12. Variational methods for indefinite superlinear homogeneous elliptic problems
    Nonlinear Differential Equations and Applications NoDEA, vol. 2, no. 4, pp. 553–572, 1995
  13. The principal eigenvalue and maximum principle for second-order elliptic operators in general domains
    Communications on Pure and Applied Mathematics, vol. 47, no. 1, pp. 47–92, 1994
  14. On the method of moving planes and the sliding method
    Boletim da Sociedade Brasileira de Matem�tica, vol. 22, no. 1, pp. 1–37, 1991
  15. Remarks on finding critical points
    Communications on Pure and Applied Mathematics, vol. 44, no. 8-9, pp. 939–963, 1991
  16. Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
    Communications on Pure and Applied Mathematics, vol. 41, no. 1, pp. 47–70, 1988
  17. Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
    Journal of Geometry and Physics, vol. 5, no. 2, pp. 237–275, 1988
  18. Correction to: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampere equation
    Communications on Pure and Applied Mathematics, vol. 40, no. 5, pp. 659–662, 1987
  19. The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
    Communications on Pure and Applied Mathematics, vol. 38, no. 2, pp. 209–252, 1985
  20. The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
    Acta Mathematica, vol. 155, no. 1, pp. 261–301, 1985
  21. The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
    Communications on Pure and Applied Mathematics, vol. 37, no. 3, pp. 369–402, 1984
  22. Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
    Communications on Pure and Applied Mathematics, vol. 36, no. 4, pp. 437–477, 1983
  23. Partial regularity of suitable weak solutions of the navier-stokes equations
    Communications on Pure and Applied Mathematics, vol. 35, no. 6, pp. 771–831, 1982
  24. Local boundary regularity of holomorphic mappings
    Communications on Pure and Applied Mathematics, vol. 33, no. 3, pp. 305–338, 1980
  25. Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
    Communications on Pure and Applied Mathematics, vol. 33, no. 5, pp. 667–684, 1980
  26. Symmetry and related properties via the maximum principle
    Communications in Mathematical Physics, vol. 68, no. 3, pp. 209–243, 1979
  27. The smoothness of the free boundary in the one phase stefan problem
    Communications on Pure and Applied Mathematics, vol. 31, no. 3, pp. 257–282, 1978
  28. Analyticity at the boundary of solutions of nonlinear second-order parabolic equations
    Communications on Pure and Applied Mathematics, vol. 31, no. 3, pp. 283–338, 1978
  29. Some first-order nonlinear equations on a torus
    Communications on Pure and Applied Mathematics, vol. 30, no. 1, pp. 1–11, 1977
  30. A pseudo-convex domain not admitting a holomorphic support function
    Mathematische Annalen, vol. 201, no. 4, pp. 265–268, 1973
  31. The null spaces of elliptic partial differential operators in n
    Journal of Mathematical Analysis and Applications, vol. 42, no. 2, pp. 271–301, 1973
  32. Errata
    Communications on Pure and Applied Mathematics, vol. 24, no. 2, pp. 279–288, 1971
  33. On local solvability of linear partial differential equations part I: Necessary conditions
    Communications on Pure and Applied Mathematics, vol. 23, no. 1, pp. 1–38, 1970
  34. On local solvability of linear partial differential equations—part II. Sufficient conditions
    Communications on Pure and Applied Mathematics, vol. 23, no. 3, pp. 459–509, 1970
  35. Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space
    Communications on Pure and Applied Mathematics, vol. 20, no. 1, pp. 207–229, 1967
  36. Degenerate elliptic-parabolic equations of second order
    Communications on Pure and Applied Mathematics, vol. 20, no. 4, pp. 797–872, 1967
  37. On a Theorem of P. Nowosad
    Journal of Mathematical Analysis and Applications, vol. 17, no. 1, pp. 61–67, 1967
  38. On stability for difference schemes; a sharp form of gårding's inequality
    Communications on Pure and Applied Mathematics, vol. 19, no. 4, pp. 473–492, 1966
  39. An algebra of pseudo-differential operators
    Communications on Pure and Applied Mathematics, vol. 18, no. 1-2, pp. 269–305, 1965
  40. Non-coercive boundary value problems
    Communications on Pure and Applied Mathematics, vol. 18, no. 3, pp. 443–492, 1965
  41. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
    Communications on Pure and Applied Mathematics, vol. 17, no. 1, pp. 35–92, 1964
  42. Properties of solutions of ordinary differential equations in banach space
    Communications on Pure and Applied Mathematics, vol. 16, no. 2, pp. 121–239, 1963
  43. Solvability of a first order linear partial differential equation
    Communications on Pure and Applied Mathematics, vol. 16, no. 3, pp. 331–351, 1963
  44. On functions of bounded mean oscillation
    Communications on Pure and Applied Mathematics, vol. 14, no. 3, pp. 415–426, 1961
  45. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
    Communications on Pure and Applied Mathematics, vol. 12, no. 4, pp. 623–727, 1959
  46. On Spherical Image Maps Whose Jacobians Do Not Change Sign
    American Journal of Mathematics, vol. 81, no. 4, p. 901, 1959
  47. On the Existence of Deformations of Complex Analytic Structures
    The Annals of Mathematics, vol. 68, no. 2, p. 450, 1958
  48. Complex Analytic Coordinates in Almost Complex Manifolds
    The Annals of Mathematics, vol. 65, no. 3, p. 391, 1957
  49. Uniqueness in Cauchy problems for differential equations with constant leading coefficients
    Communications on Pure and Applied Mathematics, vol. 10, no. 1, pp. 89–105, 1957
  50. On the analyticity of the solutions of linear elliptic systems of partial differential equations
    Communications on Pure and Applied Mathematics, vol. 10, no. 2, pp. 271–290, 1957
  51. Estimates and existence of solutions of elliptic equations
    Communications on Pure and Applied Mathematics, vol. 9, no. 3, pp. 509–529, 1956
  52. Interior estimates for elliptic systems of partial differential equations
    Communications on Pure and Applied Mathematics, vol. 8, no. 4, pp. 503–538, 1955
  53. Remarks on strongly elliptic partial differential equations
    Communications on Pure and Applied Mathematics, vol. 8, no. 4, pp. 648–674, 1955
  54. On nonlinear elliptic partial differential equations and hölder continuity
    Communications on Pure and Applied Mathematics, vol. 6, no. 1, pp. 103–156, 1953
  55. A strong maximum principle for parabolic equations
    Communications on Pure and Applied Mathematics, vol. 6, no. 2, pp. 167–177, 1953
  56. The Weyl and Minkowski problems in differential geometry in the large
    Communications on Pure and Applied Mathematics, vol. 6, no. 3, pp. 337–394, 1953
  57. A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type
    Communications on Pure and Applied Mathematics, vol. 6, no. 4, pp. 455–470, 1953