Class information for:
Level 1: Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7600 1349 22.3 50%


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
7600 1                   Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM 1349

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 Q CURVATURE authKW 654502 3% 69% 42
2 CRITICAL POINTS AT INFINITY authKW 554509 3% 70% 35
3 YAMABE PROBLEM authKW 434198 2% 71% 27
4 SCALAR CURVATURE authKW 272419 4% 20% 60
5 CONFORMAL HOLONOMY authKW 271607 1% 100% 12
6 CONFORMAL GEOMETRY authKW 270199 3% 30% 40
7 BOUNDARY MEAN CURVATURE authKW 250712 1% 92% 12
8 CONFORMAL DIFFERENTIAL GEOMETRY authKW 241418 1% 67% 16
9 WEBSTER SCALAR CURVATURE authKW 205761 1% 91% 10
10 PARABOLIC GEOMETRY authKW 181055 1% 50% 16

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 53854 85% 0% 1147
2 Mathematics, Applied 10919 36% 0% 486
3 Physics, Mathematical 524 6% 0% 83
4 Physics, Multidisciplinary 4 3% 0% 36
5 Physics, Particles & Fields 4 2% 0% 21
6 Automation & Control Systems -0 0% 0% 4
7 Multidisciplinary Sciences -2 0% 0% 1
8 Astronomy & Astrophysics -3 1% 0% 13
9 Oceanography -5 0% 0% 1
10 Physics, Nuclear -8 0% 0% 2

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 EQUIPE ANAL COMPLEXE GEOMETRIE 45268 0% 100% 2
2 ANALYSE MATH PLUMR 8050 30177 0% 67% 2
3 MATH 23847 49% 0% 667
4 GEOMETRIE TOPOL 22979 1% 13% 8
5 BUR 7D25 22634 0% 100% 1
6 C2ED 22634 0% 100% 1
7 E CECH 22634 0% 100% 1
8 LAIR 7332 22634 0% 100% 1
9 LOB JA DIEVDONNE 22634 0% 100% 1
10 MATEMAT ICEN 22634 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 49377 4% 4% 59
2 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 34418 3% 4% 43
3 BULLETIN DES SCIENCES MATHEMATIQUES 20256 2% 3% 33
4 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 17258 2% 3% 26
5 ADVANCED NONLINEAR STUDIES 13742 1% 3% 19
6 JOURNAL OF DIFFERENTIAL GEOMETRY 12682 2% 2% 31
7 JOURNAL OF FUNCTIONAL ANALYSIS 11659 4% 1% 58
8 INDIANA UNIVERSITY MATHEMATICS JOURNAL 10309 2% 1% 33
9 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 9345 1% 3% 16
10 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 9052 1% 2% 17

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 Q CURVATURE 654502 3% 69% 42 Search Q+CURVATURE Search Q+CURVATURE
2 CRITICAL POINTS AT INFINITY 554509 3% 70% 35 Search CRITICAL+POINTS+AT+INFINITY Search CRITICAL+POINTS+AT+INFINITY
3 YAMABE PROBLEM 434198 2% 71% 27 Search YAMABE+PROBLEM Search YAMABE+PROBLEM
4 SCALAR CURVATURE 272419 4% 20% 60 Search SCALAR+CURVATURE Search SCALAR+CURVATURE
5 CONFORMAL HOLONOMY 271607 1% 100% 12 Search CONFORMAL+HOLONOMY Search CONFORMAL+HOLONOMY
6 CONFORMAL GEOMETRY 270199 3% 30% 40 Search CONFORMAL+GEOMETRY Search CONFORMAL+GEOMETRY
7 BOUNDARY MEAN CURVATURE 250712 1% 92% 12 Search BOUNDARY+MEAN+CURVATURE Search BOUNDARY+MEAN+CURVATURE
8 CONFORMAL DIFFERENTIAL GEOMETRY 241418 1% 67% 16 Search CONFORMAL+DIFFERENTIAL+GEOMETRY Search CONFORMAL+DIFFERENTIAL+GEOMETRY
9 WEBSTER SCALAR CURVATURE 205761 1% 91% 10 Search WEBSTER+SCALAR+CURVATURE Search WEBSTER+SCALAR+CURVATURE
10 PARABOLIC GEOMETRY 181055 1% 50% 16 Search PARABOLIC+GEOMETRY Search PARABOLIC+GEOMETRY

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 HAN, ZC , LI, YY , TEIXEIRA, EV , (2010) ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SIGMA (K) -YAMABE EQUATION NEAR ISOLATED SINGULARITIES.INVENTIONES MATHEMATICAE. VOL. 182. ISSUE 3. P. 635-684 56 93% 3
2 LI, YY , MASTROLIA, P , MONTICELLI, DD , (2014) ON CONFORMALLY INVARIANT EQUATIONS ON R-N.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 95. ISSUE . P. 339 -361 48 98% 2
3 LI, YY , NGUYEN, L , (2014) A FULLY NONLINEAR VERSION OF THE YAMABE PROBLEM ON LOCALLY CONFORMALLY FLAT MANIFOLDS WITH UMBILIC BOUNDARY.ADVANCES IN MATHEMATICS. VOL. 251. ISSUE . P. 87 -110 43 96% 1
4 JIN, TL , LI, YY , XIONG, JG , (2014) ON A FRACTIONAL NIRENBERG PROBLEM, PART I: BLOW UP ANALYSIS AND COMPACTNESS OF SOLUTIONS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 6. P. 1111 -1171 49 63% 31
5 LI, YY , MASTROLIA, P , MONTICELLI, DD , (2012) ON CONFORMALLY INVARIANT EQUATIONS ON R-N-II. EXPONENTIAL INVARIANCE.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 75. ISSUE 13. P. 5194 -5211 35 97% 3
6 LI, YY , NGUYEN, L , (2012) COUNTEREXAMPLES TO C-2 BOUNDARY ESTIMATES FOR A FULLY NONLINEAR YAMABE PROBLEM ON MANIFOLDS WITH BOUNDARY.ADVANCED NONLINEAR STUDIES. VOL. 12. ISSUE 4. P. 783-797 32 97% 0
7 HE, Y , SHENG, WM , (2013) LOCAL ESTIMATES FOR ELLIPTIC EQUATIONS ARISING IN CONFORMAL GEOMETRY.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 2. P. 258 -290 34 81% 1
8 NDIAYE, CB , (2015) ALGEBRAIC TOPOLOGICAL METHODS FOR THE SUPERCRITICAL Q-CURVATURE PROBLEM.ADVANCES IN MATHEMATICS. VOL. 277. ISSUE . P. 56 -99 29 91% 0
9 ABDELHEDI, W , CHTIOUI, H , HAJAIEJ, H , (2016) A COMPLETE STUDY OF THE LACK OF COMPACTNESS AND EXISTENCE RESULTS OF A FRACTIONAL NIRENBERG EQUATION VIA A FLATNESS HYPOTHESIS, I.ANALYSIS & PDE. VOL. 9. ISSUE 6. P. 1285 -1316 29 88% 0
10 SHENG, WM , YUAN, LX , (2014) A CLASS OF NEUMANN PROBLEMS ARISING IN CONFORMAL GEOMETRY.PACIFIC JOURNAL OF MATHEMATICS. VOL. 270. ISSUE 1. P. 211 -235 28 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
2 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM
3 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
4 10993 MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS
5 7270 RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE
6 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
7 7799 PENROSE INEQUALITY//EINSTEIN CONSTRAINT EQUATIONS//QUASI LOCAL MASS
8 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
9 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA
10 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY

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