Class information for:
Level 1: MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1416 2             VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW 8208
11391 1                   MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS 1012

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MONGE AMPERE EQUATION authKW 522019 6% 26% 65
2 FULLY NONLINEAR EQUATIONS authKW 358733 3% 40% 29
3 HESSIAN EQUATIONS authKW 235501 1% 69% 11
4 FULLY NONLINEAR ELLIPTIC EQUATIONS authKW 224818 2% 38% 19
5 BERNSTEIN PROPERTY authKW 217991 1% 100% 7
6 HESSIAN EQUATION authKW 188396 1% 55% 11
7 PARABOLIC MONGE AMPERE EQUATION authKW 168157 1% 60% 9
8 CURVATURE EQUATIONS authKW 155708 0% 100% 5
9 LINEARIZED MONGE AMPERE EQUATION authKW 155708 0% 100% 5
10 KAHLER RICCI FLAT authKW 124566 0% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 43953 89% 0% 899
2 Mathematics, Applied 13980 47% 0% 472
3 Statistics & Probability 7 1% 0% 12
4 Multidisciplinary Sciences 6 1% 0% 7
5 Mechanics 0 1% 0% 12
6 Automation & Control Systems -0 0% 0% 3
7 Physics, Particles & Fields -1 1% 0% 8
8 Operations Research & Management Science -1 0% 0% 3
9 Physics, Mathematical -2 0% 0% 4
10 Astronomy & Astrophysics -8 0% 0% 5

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UFR SEGMI 55593 1% 18% 10
2 UMR2071 43110 1% 23% 6
3 ANAL GEOMETRIE MODELISAT 41521 0% 67% 2
4 CHALMERS UNIV TECHNOL MATH 31142 0% 100% 1
5 CNRS MATH UMR6085 31142 0% 100% 1
6 CNRS UCHILEUMR 2071 31142 0% 100% 1
7 CONICETPROGRAMA ESPECIAL MATEMAT LICADA 31142 0% 100% 1
8 IRMAR RECH MATH RENNES 31142 0% 100% 1
9 MPI MATH LEIPZIGAMSS 31142 0% 100% 1
10 ANAL MATH SYST INFORMAT 15570 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 30416 4% 2% 40
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 30336 5% 2% 49
3 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 26177 4% 2% 38
4 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 12906 2% 2% 23
5 JOURNAL OF DIFFERENTIAL EQUATIONS 12632 5% 1% 55
6 INDIANA UNIVERSITY MATHEMATICS JOURNAL 10956 3% 1% 29
7 RESULTS IN MATHEMATICS 6385 1% 2% 13
8 CHINESE ANNALS OF MATHEMATICS SERIES B 5817 2% 1% 18
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 5340 1% 1% 12
10 JOURNAL OF DIFFERENTIAL GEOMETRY 5178 2% 1% 17

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MONGE AMPERE EQUATION 522019 6% 26% 65 Search MONGE+AMPERE+EQUATION Search MONGE+AMPERE+EQUATION
2 FULLY NONLINEAR EQUATIONS 358733 3% 40% 29 Search FULLY+NONLINEAR+EQUATIONS Search FULLY+NONLINEAR+EQUATIONS
3 HESSIAN EQUATIONS 235501 1% 69% 11 Search HESSIAN+EQUATIONS Search HESSIAN+EQUATIONS
4 FULLY NONLINEAR ELLIPTIC EQUATIONS 224818 2% 38% 19 Search FULLY+NONLINEAR+ELLIPTIC+EQUATIONS Search FULLY+NONLINEAR+ELLIPTIC+EQUATIONS
5 BERNSTEIN PROPERTY 217991 1% 100% 7 Search BERNSTEIN+PROPERTY Search BERNSTEIN+PROPERTY
6 HESSIAN EQUATION 188396 1% 55% 11 Search HESSIAN+EQUATION Search HESSIAN+EQUATION
7 PARABOLIC MONGE AMPERE EQUATION 168157 1% 60% 9 Search PARABOLIC+MONGE+AMPERE+EQUATION Search PARABOLIC+MONGE+AMPERE+EQUATION
8 CURVATURE EQUATIONS 155708 0% 100% 5 Search CURVATURE+EQUATIONS Search CURVATURE+EQUATIONS
9 LINEARIZED MONGE AMPERE EQUATION 155708 0% 100% 5 Search LINEARIZED+MONGE+AMPERE+EQUATION Search LINEARIZED+MONGE+AMPERE+EQUATION
10 KAHLER RICCI FLAT 124566 0% 100% 4 Search KAHLER+RICCI+FLAT Search KAHLER+RICCI+FLAT

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1


rank cluster_id2 link
1 24500 FULLY NONLINEAR PDES//VANISHING MOMENT METHOD//ALEKSANDROV SOLUTION
2 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM
3 14641 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
4 22094 INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES
5 9105 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
6 6236 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//VISCOSITY SOLUTION
7 6127 MEAN CURVATURE FLOW//SELF SHRINKER//CURVATURE FLOW
8 20475 AFFINE DIFFERENTIAL GEOMETRY//AFFINE SPHERE//AFFINE HYPERSPHERES
9 10302 BOUNDARY BLOW UP//LARGE SOLUTIONS//KARAMATA REGULAR VARIATION THEORY
10 7233 LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM

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