Louis Nirenberg

Research.com Recognitions

• 2015 - Abel Prize For striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.
• 2014 - Steele Prize for Seminal Contribution to Research
• 2013 - Fellow of the American Mathematical Society
• 2011 - Fellow of the Royal Society of Canada Academy of Science
• 1995 - US President's National Medal of Science "For his fundamental contributions to linear and nonlinear partial differential equations, and applications, particularly in geometry and complex analysis, thus having a decisive impact on the development of mathematics and its applications over a period of years.", Awarded by President Clinton at a White House ceremony on October 18, 1995.
• 1994 - Steele Prize for Lifetime Achievement
• 1975 - Fellow of John Simon Guggenheim Memorial Foundation
• 1969 - Member of the National Academy of Sciences
• 1966 - Fellow of John Simon Guggenheim Memorial Foundation
• 1958 - Fellow of Alfred P. Sloan Foundation

Overview

Best Publications

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

  S. Agmon;A. Douglis;L. Nirenberg

  6566
  Citations

• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

  Haïm Brezis;Louis Nirenberg

  4157
  Citations

• Symmetry and related properties via the maximum principle

  B. Gidas;Wei Ming Ni;L. Nirenberg

  3631
  Citations

• On functions of bounded mean oscillation

  F. John;L. Nirenberg

  2279
  Citations

• On elliptic partial differential equations

  L. Nirenberg

  2195
  Citations

• Partial regularity of suitable weak solutions of the navier‐stokes equations

  L. Caffarelli;R. Kohn;L. Nirenberg

  1883
  Citations

• Topics in Nonlinear Functional Analysis

  Louis Nirenberg

  1322
  Citations

• First order interpolation inequalities with weights

  L. Caffarelli;R. Kohn;L. Nirenberg

  1243
  Citations

• Complex Analytic Coordinates in Almost Complex Manifolds

  A. Newlander;L. Nirenberg

  1110
  Citations

• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

  L. Caffarelli;L. Nirenberg;J. Spruck

  1102
  Citations

• An algebra of pseudo‐differential operators

  J. J. Kohn;L. Nirenberg

  851
  Citations

• Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations in Rn

  Yi Li;Wei—Ming Ni

  845
  Citations

• On the method of moving planes and the sliding method

  H. Berestycki;L. Nirenberg

  823
  Citations

• The principal eigenvalue and maximum principle for second-order elliptic operators in general domains

  H. Berestycki;L. Nirenberg;S. R. S. Varadhan

  822
  Citations

• The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

  L. Caffarelli;L. Nirenberg;J. Spruck

  797
  Citations

• The Weyl and Minkowski problems in differential geometry in the large

  Louis Nirenberg

  640
  Citations

• Non‐coercive boundary value problems

  J. J. Kohn;L. Nirenberg

  617
  Citations

• Remarks on finding critical points

  Haim Brezis;Louis Nirenberg

  530
  Citations

• Interior estimates for elliptic systems of partial differential equations

  Avron Douglis;Louis Nirenberg

  509
  Citations

• Travelling fronts in cylinders

  Henri Berestycki;Henri Berestycki;Henri Berestycki;Louis Nirenberg;Louis Nirenberg;Louis Nirenberg

  476
  Citations