Class information for:
Level 1: CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY

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
3666 1                   CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY 1969

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CRITICAL SOBOLEV EXPONENT authKW 1893234 9% 65% 182
2 HARDY INEQUALITY authKW 845096 7% 41% 130
3 CAFFARELLI KOHN NIRENBERG INEQUALITY authKW 740775 3% 86% 54
4 HARDY SOBOLEV INEQUALITY authKW 450779 2% 72% 39
5 NEHARI MANIFOLD authKW 432301 4% 34% 79
6 CRITICAL HARDY SOBOLEV EXPONENT authKW 416123 1% 100% 26
7 CRITICAL EXPONENT authKW 411442 7% 18% 140
8 CRITICAL SOBOLEV HARDY EXPONENTS authKW 304850 1% 95% 20
9 HARDY POTENTIAL authKW 301596 2% 54% 35
10 RELLICH INEQUALITY authKW 282317 1% 84% 21

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 83322 88% 0% 1727
2 Mathematics, Applied 55996 66% 0% 1305
3 Physics, Mathematical 1 1% 0% 19
4 Mechanics -1 1% 0% 19
5 Automation & Control Systems -3 0% 0% 3
6 Mathematics, Interdisciplinary Applications -5 0% 0% 3
7 Computer Science, Software Engineering -5 0% 0% 3
8 Operations Research & Management Science -6 0% 0% 2
9 Computer Science, Interdisciplinary Applications -9 0% 0% 3
10 Engineering, General -9 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EGAL 64019 0% 100% 4
2 SYST DYNAM PLICAT 56010 0% 50% 7
3 DIPARTIMENTO MATEMAT 26884 8% 1% 155
4 DIPARTIMENTO METODI MODELLI MATEMAT 25815 1% 8% 21
5 MATEMAT ICE 25603 0% 40% 4
6 MATH 19419 38% 0% 739
7 MATEMAT 16481 9% 1% 179
8 AB 601 16005 0% 100% 1
9 AB ANAL MATH PL 16005 0% 100% 1
10 AIMS SENEGAL KM 2 16005 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 85354 13% 2% 255
2 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 55672 3% 7% 52
3 ADVANCED NONLINEAR STUDIES 49415 2% 7% 44
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 36962 3% 4% 63
5 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 32695 3% 4% 55
6 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 26138 2% 4% 37
7 JOURNAL OF DIFFERENTIAL EQUATIONS 25975 6% 1% 110
8 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 22181 3% 2% 67
9 ACTA MATHEMATICA SCIENTIA 20028 3% 2% 57
10 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 15813 3% 2% 51

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CRITICAL SOBOLEV EXPONENT 1893234 9% 65% 182 Search CRITICAL+SOBOLEV+EXPONENT Search CRITICAL+SOBOLEV+EXPONENT
2 HARDY INEQUALITY 845096 7% 41% 130 Search HARDY+INEQUALITY Search HARDY+INEQUALITY
3 CAFFARELLI KOHN NIRENBERG INEQUALITY 740775 3% 86% 54 Search CAFFARELLI+KOHN+NIRENBERG+INEQUALITY Search CAFFARELLI+KOHN+NIRENBERG+INEQUALITY
4 HARDY SOBOLEV INEQUALITY 450779 2% 72% 39 Search HARDY+SOBOLEV+INEQUALITY Search HARDY+SOBOLEV+INEQUALITY
5 NEHARI MANIFOLD 432301 4% 34% 79 Search NEHARI+MANIFOLD Search NEHARI+MANIFOLD
6 CRITICAL HARDY SOBOLEV EXPONENT 416123 1% 100% 26 Search CRITICAL+HARDY+SOBOLEV+EXPONENT Search CRITICAL+HARDY+SOBOLEV+EXPONENT
7 CRITICAL EXPONENT 411442 7% 18% 140 Search CRITICAL+EXPONENT Search CRITICAL+EXPONENT
8 CRITICAL SOBOLEV HARDY EXPONENTS 304850 1% 95% 20 Search CRITICAL+SOBOLEV+HARDY+EXPONENTS Search CRITICAL+SOBOLEV+HARDY+EXPONENTS
9 HARDY POTENTIAL 301596 2% 54% 35 Search HARDY+POTENTIAL Search HARDY+POTENTIAL
10 RELLICH INEQUALITY 282317 1% 84% 21 Search RELLICH+INEQUALITY Search RELLICH+INEQUALITY

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 25375 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
2 1997 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//STRONGLY INDEFINITE FUNCTIONALS
3 7233 LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM
4 33890 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
5 1634 P LAPLACIAN//CRITICAL GROUPS//NONLINEAR REGULARITY
6 6370 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
7 20615 KIRCHHOFF TYPE PROBLEM//KIRCHHOFF TYPE EQUATION//KIRCHHOFF EQUATION
8 22641 EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP
9 12425 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS
10 10302 BOUNDARY BLOW UP//LARGE SOLUTIONS//KARAMATA REGULAR VARIATION THEORY

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