Class information for:
Level 1: METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9763 1123 19.2 51%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
176 2             MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED 22137
9763 1                   METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM 1123

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 METHOD OF MOVING PLANES IN INTEGRAL FORMS authKW 543786 2% 100% 20
2 WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY authKW 407839 1% 100% 15
3 LIOUVILLE THEOREM authKW 401742 5% 29% 51
4 LIOUVILLE TYPE THEOREM authKW 344601 3% 34% 37
5 MOVING PLANES authKW 326768 2% 48% 25
6 HARDY LITTLEWOOD SOBOLEV INEQUALITY authKW 251656 2% 49% 19
7 METHOD OF MOVING PLANES authKW 204702 1% 47% 16
8 SMALL ASPECT RATIO LIMIT authKW 190325 1% 100% 7
9 STABLE SOLUTIONS authKW 174771 1% 43% 15
10 MOVING SPHERES authKW 174008 1% 80% 8

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 44465 85% 0% 951
2 Mathematics, Applied 23315 57% 0% 638
3 Mechanics 26 3% 0% 31
4 Physics, Mathematical 25 2% 0% 23
5 Multidisciplinary Sciences 15 1% 0% 10
6 Mathematics, Interdisciplinary Applications 0 1% 0% 6
7 Computer Science, Software Engineering -0 0% 0% 5
8 Engineering, General -1 0% 0% 4
9 Computer Science, Interdisciplinary Applications -2 0% 0% 4
10 Automation & Control Systems -3 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LAMFA MATH INFORMAT 61174 0% 75% 3
2 UNIV ESTUDIOS AVANZADOS IUDEA FIS ATAM MOL 54379 0% 100% 2
3 MATEMAT CC 46862 1% 17% 10
4 CONTEMPORARY MATH 42523 1% 12% 13
5 CHINAS OVERSEAS INTE TS 40781 0% 50% 3
6 ABT MATH METHODEN PHYS 27189 0% 100% 1
7 CMM UMI CNRS 27189 0% 100% 1
8 ECOLE NORMALE SUPUR CACHAN 27189 0% 100% 1
9 H 11 27189 0% 100% 1
10 INGN MATEMAIT CMM 27189 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 44116 4% 3% 48
2 JOURNAL OF DIFFERENTIAL EQUATIONS 19513 6% 1% 72
3 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 18534 3% 2% 33
4 ADVANCED NONLINEAR STUDIES 14821 2% 3% 18
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 14363 7% 1% 80
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 11726 3% 1% 38
7 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 10880 2% 2% 17
8 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 8810 2% 2% 20
9 ADVANCES IN DIFFERENTIAL EQUATIONS 7944 1% 3% 11
10 DIFFERENTIAL EQUATIONS 7888 3% 1% 33

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 METHOD OF MOVING PLANES IN INTEGRAL FORMS 543786 2% 100% 20 Search METHOD+OF+MOVING+PLANES+IN+INTEGRAL+FORMS Search METHOD+OF+MOVING+PLANES+IN+INTEGRAL+FORMS
2 WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY 407839 1% 100% 15 Search WEIGHTED+HARDY+LITTLEWOOD+SOBOLEV+INEQUALITY Search WEIGHTED+HARDY+LITTLEWOOD+SOBOLEV+INEQUALITY
3 LIOUVILLE THEOREM 401742 5% 29% 51 Search LIOUVILLE+THEOREM Search LIOUVILLE+THEOREM
4 LIOUVILLE TYPE THEOREM 344601 3% 34% 37 Search LIOUVILLE+TYPE+THEOREM Search LIOUVILLE+TYPE+THEOREM
5 MOVING PLANES 326768 2% 48% 25 Search MOVING+PLANES Search MOVING+PLANES
6 HARDY LITTLEWOOD SOBOLEV INEQUALITY 251656 2% 49% 19 Search HARDY+LITTLEWOOD+SOBOLEV+INEQUALITY Search HARDY+LITTLEWOOD+SOBOLEV+INEQUALITY
7 METHOD OF MOVING PLANES 204702 1% 47% 16 Search METHOD+OF+MOVING+PLANES Search METHOD+OF+MOVING+PLANES
8 SMALL ASPECT RATIO LIMIT 190325 1% 100% 7 Search SMALL+ASPECT+RATIO+LIMIT Search SMALL+ASPECT+RATIO+LIMIT
9 STABLE SOLUTIONS 174771 1% 43% 15 Search STABLE+SOLUTIONS Search STABLE+SOLUTIONS
10 MOVING SPHERES 174008 1% 80% 8 Search MOVING+SPHERES Search MOVING+SPHERES

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 CHEN, WX , LI, CM , (2013) SUPER POLYHARMONIC PROPERTY OF SOLUTIONS FOR PDE SYSTEMS AND ITS APPLICATIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 12. ISSUE 6. P. 2497 -2514 30 86% 14
2 CAO, LF , CHEN, WX , (2013) LIOUVILLE TYPE THEOREMS FOR POLY-HARMONIC NAVIER PROBLEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 33. ISSUE 9. P. 3937-3955 29 88% 11
3 LIU, Z , DAI, W , (2015) A LIOUVILLE TYPE THEOREM FOR POLY-HARMONIC SYSTEM WITH DIRICHLET BOUNDARY CONDITIONS IN A HALF SPACE.ADVANCED NONLINEAR STUDIES. VOL. 15. ISSUE 1. P. 117 -134 25 93% 0
4 VILLAVERT, J , (2015) QUALITATIVE PROPERTIES OF SOLUTIONS FOR AN INTEGRAL SYSTEM RELATED TO THE HARDY-SOBOLEV INEQUALITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 258. ISSUE 5. P. 1685 -1714 27 82% 2
5 LEI, YT , (2015) ON THE INTEGRAL SYSTEMS WITH NEGATIVE EXPONENTS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 3. P. 1039 -1057 23 92% 2
6 FANG, YQ , CHEN, WX , (2012) A LIOUVILLE TYPE THEOREM FOR POLY-HARMONIC DIRICHLET PROBLEMS IN A HALF SPACE.ADVANCES IN MATHEMATICS. VOL. 229. ISSUE 5. P. 2835-2867 24 86% 26
7 COWAN, C , (2013) LIOUVILLE THEOREMS FOR STABLE LANE-EMDEN SYSTEMS AND BIHARMONIC PROBLEMS.NONLINEARITY. VOL. 26. ISSUE 8. P. 2357-2371 26 84% 4
8 LEI, YT , LI, CM , (2016) SHARP CRITERIA OF LIOUVILLE TYPE FOR SOME NONLINEAR SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 6. P. 3277 -3315 27 66% 2
9 YU, XH , (2016) LIOUVILLE TYPE THEOREMS FOR SINGULAR INTEGRAL EQUATIONS AND INTEGRAL SYSTEMS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 15. ISSUE 5. P. 1825 -1840 22 92% 0
10 ZHAO, YG , WANG, MX , (2015) AN INTEGRAL EQUATION INVOLVING BESSEL POTENTIALS ON HALF SPACE.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 2. P. 527 -548 24 86% 0

Classes with closest relation at Level 1


Rank Class id link
1 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
2 7600 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
3 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY
4 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
5 10993 MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS
6 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
7 2307 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
8 21230 CORRECT SOLVABILITY//POSITIVE EVANESCENT SOLUTIONS//SUBSOLUTION AND SUPERSOLUTION METHOD
9 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
10 17321 OVERDETERMINED PROBLEMS//POMPEIU PROBLEM//OVERDETERMINED BOUNDARY VALUE PROBLEMS

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