Class information for:
Level 1: TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS

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
25375 1                   TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS 306

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TRUDINGER MOSER INEQUALITY authKW 5005362 25% 63% 77
2 MOSER TRUDINGER INEQUALITY authKW 2505738 14% 57% 43
3 BLOWING UP ANALYSIS authKW 1029956 3% 100% 10
4 SINGULAR TRUDINGER MOSER INEQUALITY authKW 617974 2% 100% 6
5 EXTREMAL FUNCTION authKW 605828 7% 29% 20
6 ADAMS INEQUALITY authKW 595897 3% 64% 9
7 EXPONENTIAL CRITICAL GROWTH authKW 507049 3% 62% 8
8 N LAPLACIAN authKW 439441 3% 53% 8
9 CRITICAL GROWTH authKW 417086 9% 15% 27
10 BLOW UP ANALYSIS authKW 379879 5% 25% 15

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 13709 90% 0% 276
2 Mathematics, Applied 5771 54% 0% 166
3 Mechanics 0 1% 0% 4
4 Statistics & Probability 0 1% 0% 2
5 Physics, Mathematical -1 0% 0% 1
6 Plant Sciences -4 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CIENCIAS EXATAS SOCIAIS LICADAS 205983 2% 33% 6
2 DIPARTIMENTO INFORMATICAN 102996 0% 100% 1
3 ISAS MATH AREA 102996 0% 100% 1
4 MATEMT ESTATIST 102996 0% 100% 1
5 SUPER MATH PLIQUEES INFORMAT KAIROUAN 102996 0% 100% 1
6 DIP MATEMAT F ENRIQUES 68661 1% 33% 2
7 PLICABLE MATH 45971 2% 9% 5
8 RIC MATEMAT E DE GIORGI 34331 0% 33% 1
9 DIP SCI ALTA TECNOL 34329 1% 17% 2
10 DIPARTIMENTO MATEMAT PLICAZ ARCHITETTURA 17160 1% 6% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ADVANCED NONLINEAR STUDIES 19886 4% 2% 11
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 13499 5% 1% 15
3 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 6023 2% 1% 7
4 POTENTIAL ANALYSIS 4858 2% 1% 7
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 4846 8% 0% 24
6 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 4766 2% 1% 6
7 JOURNAL OF FUNCTIONAL ANALYSIS 3946 5% 0% 16
8 ADVANCES IN NONLINEAR ANALYSIS 3579 1% 2% 2
9 ANNALI DI MATEMATICA PURA ED APPLICATA 3389 2% 0% 7
10 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 2629 1% 1% 4

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TRUDINGER MOSER INEQUALITY 5005362 25% 63% 77 Search TRUDINGER+MOSER+INEQUALITY Search TRUDINGER+MOSER+INEQUALITY
2 MOSER TRUDINGER INEQUALITY 2505738 14% 57% 43 Search MOSER+TRUDINGER+INEQUALITY Search MOSER+TRUDINGER+INEQUALITY
3 BLOWING UP ANALYSIS 1029956 3% 100% 10 Search BLOWING+UP+ANALYSIS Search BLOWING+UP+ANALYSIS
4 SINGULAR TRUDINGER MOSER INEQUALITY 617974 2% 100% 6 Search SINGULAR+TRUDINGER+MOSER+INEQUALITY Search SINGULAR+TRUDINGER+MOSER+INEQUALITY
5 EXTREMAL FUNCTION 605828 7% 29% 20 Search EXTREMAL+FUNCTION Search EXTREMAL+FUNCTION
6 ADAMS INEQUALITY 595897 3% 64% 9 Search ADAMS+INEQUALITY Search ADAMS+INEQUALITY
7 EXPONENTIAL CRITICAL GROWTH 507049 3% 62% 8 Search EXPONENTIAL+CRITICAL+GROWTH Search EXPONENTIAL+CRITICAL+GROWTH
8 N LAPLACIAN 439441 3% 53% 8 Search N+LAPLACIAN Search N+LAPLACIAN
9 CRITICAL GROWTH 417086 9% 15% 27 Search CRITICAL+GROWTH Search CRITICAL+GROWTH
10 BLOW UP ANALYSIS 379879 5% 25% 15 Search BLOW+UP+ANALYSIS Search BLOW+UP+ANALYSIS

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 10992 MEAN FIELD EQUATION//GEOMETRIC PDES//TAIDA MATH SCI
3 12027 REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION//LORENTZ ZYGMUND SPACES
4 1997 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//STRONGLY INDEFINITE FUNCTIONALS
5 6370 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
6 20615 KIRCHHOFF TYPE PROBLEM//KIRCHHOFF TYPE EQUATION//KIRCHHOFF EQUATION
7 12425 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS
8 37420 ABELFUNCTION//INFRA LOGARITHM FUNCTIONS//ULTRA EXPONENTIAL FUNCTIONAL EQUATION
9 7233 LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM
10 25131 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LINDELOF PRINCIPLE

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