Academic Appointments


  • Emeritus Faculty, Acad Council, Mathematics

All Publications


  • Stable minimal hypersurfaces in RN+1+l with singular set an arbitrary closed Kc{0}xRl ANNALS OF MATHEMATICS Simon, L. 2023; 197 (3): 1205-1234
  • A Frequency Function and Singular Set Bounds for Branched Minimal Immersions COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS Simon, L., Wickramasekera, N. 2016; 69 (7): 1213-1258

    View details for DOI 10.1002/cpa.21642

    View details for Web of Science ID 000379917800001

  • Stable branched minimal immersions with prescribed boundary JOURNAL OF DIFFERENTIAL GEOMETRY Simon, L., Wickramasekera, N. 2007; 75 (1): 143-173
  • Schauder estimates by scaling CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS Simon, L. 1997; 5 (5): 391-407
  • RECTIFIABILITY OF THE SINGULAR SET OF ENERGY MINIMIZING MAPS CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS Simon, L. 1995; 3 (1): 1-65
  • CYLINDRICAL TANGENT-CONES AND THE SINGULAR SET OF MINIMAL SUBMANIFOLDS JOURNAL OF DIFFERENTIAL GEOMETRY Simon, L. 1993; 38 (3): 585-652
  • PERTURBING AWAY SINGULARITIES OF HARMONIC MAPS MANUSCRIPTA MATHEMATICA McIntosh, R., Simon, L. 1990; 67 (2): 113-124
  • ENTIRE SOLUTIONS OF THE MINIMAL SURFACE EQUATION JOURNAL OF DIFFERENTIAL GEOMETRY Simon, L. 1989; 30 (3): 643-688
  • NODAL SETS FOR SOLUTIONS OF ELLIPTIC-EQUATIONS JOURNAL OF DIFFERENTIAL GEOMETRY Hardt, R., Simon, L. 1989; 30 (2): 505-522
  • CONTINUITY ESTIMATES FOR SOLUTIONS TO THE PRESCRIBED-CURVATURE DIRICHLET PROBLEM MATHEMATISCHE ZEITSCHRIFT KOREVAAR, N. J., Simon, L. 1988; 197 (4): 457-464
  • REGULARITY AND SINGULARITY ESTIMATES ON HYPERSURFACES MINIMIZING PARAMETRIC ELLIPTIC VARIATIONAL INTEGRALS ACTA MATHEMATICA Schoen, R., Simon, L., ALMGREN, F. J. 1977; 139 (3-4): 217-265
  • HOLDER ESTIMATE FOR QUASICONFORMAL MAPS BETWEEN SURFACES IN EUCLIDEAN SPACE ACTA MATHEMATICA Simon, L. 1977; 139 (1-2): 19-51
  • EQUATIONS OF MEAN CURVATURE TYPE IN 2 INDEPENDENT VARIABLES PACIFIC JOURNAL OF MATHEMATICS Simon, L. 1977; 69 (1): 245-268
  • THEOREM OF DEGIORGI AND STAMPACCHIA MATHEMATISCHE ZEITSCHRIFT Simon, L. 1977; 155 (2): 199-204
  • SOME EXTENSIONS OF BERNSTEINS THEOREM MATHEMATISCHE ZEITSCHRIFT Simon, L. 1977; 154 (3): 265-273
  • REMARKS ON CURVATURE ESTIMATES FOR MINIMAL HYPERSURFACES DUKE MATHEMATICAL JOURNAL Simon, L. 1976; 43 (3): 545-553
  • INTERIOR GRADIENT BOUNDS FOR NONUNIFORMLY ELLIPTIC EQUATIONS INDIANA UNIVERSITY MATHEMATICS JOURNAL Simon, L. 1976; 25 (9): 821-855
  • BOUNDARY REGULARITY FOR SOLUTIONS OF NONPARAMETRIC LEAST AREA PROBLEM ANNALS OF MATHEMATICS Simon, L. 1976; 103 (3): 429-455
  • CURVATURE ESTIMATES FOR MINIMAL HYPERSURFACES ACTA MATHEMATICA Schoen, R., Simon, L., Yau, S. T. 1975; 134 (3-4): 275-288
  • GLOBAL ESTIMATES OF HOLDER CONTINUITY FOR A CLASS OF DIVERGENCE-FORM ELLIPTIC EQUATIONS ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS Simon, L. 1974; 56 (3): 253-272