Class information for:
Level 1: LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM

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
272 2             VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM 19256
7233 1                   LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM 1417

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LIOUVILLE TYPE THEOREM authKW 591004 4% 47% 56
2 METHOD OF MOVING PLANES IN INTEGRAL FORMS authKW 489286 2% 100% 22
3 LIOUVILLE THEOREM authKW 413921 4% 32% 59
4 WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY authKW 333604 1% 100% 15
5 MOVING PLANES authKW 252703 2% 45% 25
6 METHOD OF MOVING PLANES authKW 240417 1% 54% 20
7 LANE EMDEN SYSTEM authKW 228753 1% 86% 12
8 MOVING SPHERES authKW 222403 1% 100% 10
9 STABLE SOLUTIONS authKW 200698 1% 48% 19
10 RADIAL SYMMETRY authKW 182287 2% 24% 34

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 56010 85% 0% 1202
2 Mathematics, Applied 31987 59% 0% 839
3 Physics, Mathematical 51 2% 0% 34
4 Mechanics 41 3% 0% 42
5 Mathematics, Interdisciplinary Applications 1 1% 0% 10
6 Multidisciplinary Sciences 0 0% 0% 5
7 Computer Science, Software Engineering -2 0% 0% 4
8 Engineering, General -2 0% 0% 4
9 Physics, Fluids & Plasmas -3 0% 0% 3
10 Computer Science, Interdisciplinary Applications -4 0% 0% 4

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CHINAS OVERSEAS INTE TS 133442 0% 100% 6
2 MATEMAT CC 72630 1% 23% 14
3 CONTEMPORARY MATH 66874 1% 16% 19
4 LAMFA MATH INFORMAT 50039 0% 75% 3
5 SUPER MATH PL INFORMAT KAIROUAN 50039 0% 75% 3
6 SUPER MATH PL INFORMAT 44481 0% 100% 2
7 UNIV ESTUDIOS AVANZADOS IUDEA FIS ATAM MOL 44481 0% 100% 2
8 SCI TECHNOL PL MATH INFORMAT 29652 0% 67% 2
9 INT SYMMETRY ANAL MATH MODELLING 27412 1% 9% 13
10 ING MATEMAT 27367 0% 31% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 59684 4% 4% 63
2 JOURNAL OF DIFFERENTIAL EQUATIONS 46753 9% 2% 125
3 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 22386 8% 1% 111
4 ADVANCED NONLINEAR STUDIES 18750 2% 4% 23
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 15836 2% 2% 35
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 13321 3% 1% 46
7 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 12693 2% 2% 27
8 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 11425 1% 3% 20
9 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 9792 2% 1% 33
10 ADVANCES IN DIFFERENTIAL EQUATIONS 8346 1% 3% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LIOUVILLE TYPE THEOREM 591004 4% 47% 56 Search LIOUVILLE+TYPE+THEOREM Search LIOUVILLE+TYPE+THEOREM
2 METHOD OF MOVING PLANES IN INTEGRAL FORMS 489286 2% 100% 22 Search METHOD+OF+MOVING+PLANES+IN+INTEGRAL+FORMS Search METHOD+OF+MOVING+PLANES+IN+INTEGRAL+FORMS
3 LIOUVILLE THEOREM 413921 4% 32% 59 Search LIOUVILLE+THEOREM Search LIOUVILLE+THEOREM
4 WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY 333604 1% 100% 15 Search WEIGHTED+HARDY+LITTLEWOOD+SOBOLEV+INEQUALITY Search WEIGHTED+HARDY+LITTLEWOOD+SOBOLEV+INEQUALITY
5 MOVING PLANES 252703 2% 45% 25 Search MOVING+PLANES Search MOVING+PLANES
6 METHOD OF MOVING PLANES 240417 1% 54% 20 Search METHOD+OF+MOVING+PLANES Search METHOD+OF+MOVING+PLANES
7 LANE EMDEN SYSTEM 228753 1% 86% 12 Search LANE+EMDEN+SYSTEM Search LANE+EMDEN+SYSTEM
8 MOVING SPHERES 222403 1% 100% 10 Search MOVING+SPHERES Search MOVING+SPHERES
9 STABLE SOLUTIONS 200698 1% 48% 19 Search STABLE+SOLUTIONS Search STABLE+SOLUTIONS
10 RADIAL SYMMETRY 182287 2% 24% 34 Search RADIAL+SYMMETRY Search RADIAL+SYMMETRY

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 3666 CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY
2 22641 EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP
3 6370 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
4 10302 BOUNDARY BLOW UP//LARGE SOLUTIONS//KARAMATA REGULAR VARIATION THEORY
5 35049 CLAMPED PLATE EQUATION//KHAVINSON SHAPIRO CONJECTURE//FISCHER OPERATOR
6 1997 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//STRONGLY INDEFINITE FUNCTIONALS
7 10992 MEAN FIELD EQUATION//GEOMETRIC PDES//TAIDA MATH SCI
8 12425 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS
9 32959 REGULARLY VARYING SOLUTIONS//SLOWLY VARYING SOLUTIONS//EMDEN FOWLER TYPE EQUATION
10 25045 CORRECT SOLVABILITY//POSITIVE EVANESCENT SOLUTIONS//SUBSOLUTION AND SUPERSOLUTION METHOD

Go to start page