Class information for:
Level 1: MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10993 1017 23.9 61%


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
10993 1                   MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS 1017

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 MEAN FIELD EQUATION authKW 607960 3% 75% 27
2 LARGE EXPONENT authKW 279445 1% 85% 11
3 LIOUVILLE TYPE EQUATIONS authKW 270211 1% 100% 9
4 NON TOPOLOGICAL SOLUTIONS authKW 270211 1% 100% 9
5 TAIDA MATH SCI address 262797 4% 21% 41
6 CHERN SIMONS HIGGS MODEL authKW 240187 1% 100% 8
7 NONLINEAR DOMAIN DECOMPOSITION METHOD authKW 240187 1% 100% 8
8 SINGULAR LIOUVILLE EQUATION authKW 210164 1% 100% 7
9 GEOMETRIC PDES authKW 205864 1% 57% 12
10 TODA SYSTEM authKW 165118 1% 50% 11

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 13940 51% 0% 514
2 Mathematics, Applied 6657 33% 0% 331
3 Physics, Particles & Fields 4816 23% 0% 235
4 Physics, Mathematical 2730 15% 0% 152
5 Astronomy & Astrophysics 1449 17% 0% 170
6 Physics, Nuclear 959 10% 0% 100
7 Physics, Multidisciplinary 179 8% 0% 79
8 Multidisciplinary Sciences -0 0% 0% 2
9 Physics, Fluids & Plasmas -1 0% 0% 4
10 Mechanics -2 1% 0% 7

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 TAIDA MATH SCI 262797 4% 21% 41
2 ADV STUDY THEORET SCI 127432 2% 19% 22
3 CONTEMPORARY MATH 111165 2% 19% 20
4 ESCUELA EDUC MATEMAT INFORMAT EDUC 40030 0% 67% 2
5 TAIDA MATH 40030 0% 67% 2
6 CONTEMP MATH 30023 0% 100% 1
7 DIPARTIMENTO MATEMAT L CASTELNUOVO 30023 0% 100% 1
8 IFLP CICBA 30023 0% 100% 1
9 MATH ARTS SCI PROGRAM 30023 0% 100% 1
10 MATH DEP IS 224 30023 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 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 28608 4% 2% 39
2 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 10732 2% 2% 21
3 COMMUNICATIONS IN MATHEMATICAL PHYSICS 7090 4% 1% 44
4 JOURNAL OF DIFFERENTIAL EQUATIONS 6957 4% 1% 41
5 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 5981 1% 2% 12
6 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 5403 2% 1% 17
7 DIFFERENTIAL AND INTEGRAL EQUATIONS 4678 1% 1% 11
8 PHYSICAL REVIEW D 4006 10% 0% 98
9 JOURNAL OF FUNCTIONAL ANALYSIS 3584 3% 0% 28
10 LETTERS IN MATHEMATICAL PHYSICS 3376 2% 1% 19

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 MEAN FIELD EQUATION 607960 3% 75% 27 Search MEAN+FIELD+EQUATION Search MEAN+FIELD+EQUATION
2 LARGE EXPONENT 279445 1% 85% 11 Search LARGE+EXPONENT Search LARGE+EXPONENT
3 LIOUVILLE TYPE EQUATIONS 270211 1% 100% 9 Search LIOUVILLE+TYPE+EQUATIONS Search LIOUVILLE+TYPE+EQUATIONS
4 NON TOPOLOGICAL SOLUTIONS 270211 1% 100% 9 Search NON+TOPOLOGICAL+SOLUTIONS Search NON+TOPOLOGICAL+SOLUTIONS
5 CHERN SIMONS HIGGS MODEL 240187 1% 100% 8 Search CHERN+SIMONS+HIGGS+MODEL Search CHERN+SIMONS+HIGGS+MODEL
6 NONLINEAR DOMAIN DECOMPOSITION METHOD 240187 1% 100% 8 Search NONLINEAR+DOMAIN+DECOMPOSITION+METHOD Search NONLINEAR+DOMAIN+DECOMPOSITION+METHOD
7 SINGULAR LIOUVILLE EQUATION 210164 1% 100% 7 Search SINGULAR+LIOUVILLE+EQUATION Search SINGULAR+LIOUVILLE+EQUATION
8 GEOMETRIC PDES 205864 1% 57% 12 Search GEOMETRIC+PDES Search GEOMETRIC+PDES
9 TODA SYSTEM 165118 1% 50% 11 Search TODA+SYSTEM Search TODA+SYSTEM
10 BUBBLING SOLUTIONS 163458 1% 78% 7 Search BUBBLING+SOLUTIONS Search BUBBLING+SOLUTIONS

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 TARANTELLO, G , (2009) ON SOME ELLIPTIC PROBLEMS IN THE STUDY OF SELFDUAL CHERN-SIMONS VORTICES.GEOMETRIC ANALYSIS AND PDES. VOL. 1977. ISSUE . P. 117 -175 104 79% 1
2 TARANTELLO, G , (2016) ANALYTICAL ISSUES IN THE CONSTRUCTION OF SELF-DUAL CHERN-SIMONS VORTICES.MILAN JOURNAL OF MATHEMATICS. VOL. 84. ISSUE 2. P. 269 -298 73 92% 0
3 TARANTELLO, G , (2010) ANALYTICAL, GEOMETRICAL AND TOPOLOGICAL ASPECTS OF A CLASS OF MEAN FIELD EQUATIONS ON SURFACES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 28. ISSUE 3. P. 931-973 78 88% 23
4 TARANTELLO, G , (2017) BLOW-UP ANALYSIS FOR A COSMIC STRINGS EQUATION.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 272. ISSUE 1. P. 255 -338 38 97% 1
5 CHEN, CC , LIN, CS , (2015) MEAN FIELD EQUATION OF LIOUVILLE TYPE WITH SINGULAR DATA: TOPOLOGICAL DEGREE.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 68. ISSUE 6. P. 887 -947 50 100% 4
6 POLIAKOVSKY, A , TARANTELLO, G , (2016) ON NON-TOPOLOGICAL SOLUTIONS FOR PLANAR LIOUVILLE SYSTEMS OF TODA-TYPE.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 347. ISSUE 1. P. 223 -270 48 98% 0
7 BARTOLUCCI, D , DE MARCHIS, F , (2015) SUPERCRITICAL MEAN FIELD EQUATIONS ON CONVEX DOMAINS AND THE ONSAGER'S STATISTICAL DESCRIPTION OF TWO-DIMENSIONAL TURBULENCE.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 217. ISSUE 2. P. 525 -570 48 89% 1
8 BARTOLUCCI, D , MALCHIODI, A , (2013) AN IMPROVED GEOMETRIC INEQUALITY VIA VANISHING MOMENTS, WITH APPLICATIONS TO SINGULAR LIOUVILLE EQUATIONS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 322. ISSUE 2. P. 415-452 48 87% 9
9 CHOE, K , HAN, J , LEE, Y , LIN, CS , (2015) BUBBLING SOLUTIONS FOR THE CHERN-SIMONS GAUGED O(3) SIGMA MODEL ON A TORUS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 54. ISSUE 2. P. 1275 -1329 41 98% 0
10 LIN, CS , WEI, JC , ZHANG, L , (2016) LOCAL PROFILE OF FULLY BUBBLING SOLUTIONS TO SU(N+1) TODA SYSTEMS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 18. ISSUE 8. P. 1707 -1728 32 97% 2

Classes with closest relation at Level 1


Rank Class id link
1 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
2 14074 WILLIAM I FINE THEORET PHYS//EDUC NAT SCI//SOLITONS MONOPOLES AND INSTANTONS
3 6496 FRACTIONAL SPIN//HOPF TERM//MAGNETIC TRANSLATION GROUP
4 7600 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
5 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM
6 17771 3 DIM LANDAU LEVEL//BILINEAR DENSITIES//BREAKING OF DYNAMIC SUPERSYMMETRY
7 13356 GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATION//GINZBURG LANDAU SYSTEM
8 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
9 16551 NONLINEAR DIRAC EQUATION//WAVE MAPS//NULL FORM
10 8973 KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS

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