26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems [See also 28A15] 2477

26B15 Integration of real functions of several variables: length, area, volume [See also 28A75, 51M25] 576

49-XX Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] 86536

49Q15 Geometric measure and integration theory, integral and normal currents in optimization [See also 28A75, 32C30, 58A25, 58C35] 1274

52A38 Length, area, volume and convex sets (aspects of convex geometry) [See also 26B15, 28A75, 49Q20] 1023

58-XX Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} 64291

58-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to global analysis 12

58-03 History of global analysis [Consider also classification numbers pertaining to Section 01-XX] 114

58B20 Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds [See also 53C20, 53C60] 1042

58B25 Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05] 439

58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx] 5217

58D25 Equations in function spaces; evolution equations [See also 34Gxx, 35K90, 35L90, 35R15, 37Lxx, 47Jxx] 480

58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 4244

58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable) 752

58E12 Variational problems concerning minimal surfaces (problems in two independent variables) [See also 49Q05] 481

58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc. 806

58E17 Multiobjective variational problems, Pareto optimality, applications to economics, etc. [See also 90C29, 91Bxx] 172

58H10 Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) [See also 57R32] 218

58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] 23827

58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds [See also 35A22] 816