Class information for:
Level 1: UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13757 815 19.7 42%


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
13757 1                   UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES 815

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 UNIVERSAL INEQUALITIES authKW 638880 2% 95% 18
2 EIGENVALUE RATIO authKW 414998 1% 92% 12
3 LIEB THIRRING INEQUALITIES authKW 413035 3% 53% 21
4 EIGENVALUE GAP authKW 299714 1% 67% 12
5 UNIVERSAL BOUNDS authKW 290664 2% 52% 15
6 DOMAIN PERTURBATION authKW 274014 2% 46% 16
7 DIRICHLET LAPLACIAN authKW 258355 2% 34% 20
8 GRP MATH PHYS address 241492 2% 34% 19
9 BEREZIN LI YAU INEQUALITY authKW 224792 1% 100% 6
10 HADAMARD FORMULA authKW 224792 1% 100% 6

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 23987 73% 0% 597
2 Mathematics, Applied 9113 42% 0% 343
3 Physics, Mathematical 688 9% 0% 71
4 Mechanics 18 3% 0% 22
5 Automation & Control Systems 13 1% 0% 10
6 Statistics & Probability 6 1% 0% 10
7 Computer Science, Cybernetics 2 0% 0% 2
8 Multidisciplinary Sciences 0 0% 0% 3
9 Operations Research & Management Science -0 0% 0% 4
10 Mathematical & Computational Biology -0 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 GRP MATH PHYS 241492 2% 34% 19
2 MATH LAMA 84283 1% 25% 9
3 IMB FSB 56195 0% 50% 3
4 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 53952 3% 6% 26
5 MATH SYSTEMAT SCI 52018 1% 14% 10
6 CNRS UMR 5127 42812 0% 29% 4
7 DINAM MODELLING 37465 0% 100% 1
8 FIELD SERV SUPPORT 37465 0% 100% 1
9 GLOBAL MANAGEMENT OFF 37465 0% 100% 1
10 MATH GEOM 37465 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 JOURNAL OF SPECTRAL THEORY 24630 1% 7% 10
2 BULLETIN OF MATHEMATICAL SCIENCES 15856 1% 7% 6
3 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6322 3% 1% 25
4 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 5810 2% 1% 20
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 5265 2% 1% 15
6 JOURNAL OF DIFFERENTIAL EQUATIONS 4336 4% 0% 29
7 POTENTIAL ANALYSIS 3723 1% 1% 10
8 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 3035 1% 1% 8
9 JOURNAL OF FUNCTIONAL ANALYSIS 3019 3% 0% 23
10 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2817 2% 1% 14

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 UNIVERSAL INEQUALITIES 638880 2% 95% 18 Search UNIVERSAL+INEQUALITIES Search UNIVERSAL+INEQUALITIES
2 EIGENVALUE RATIO 414998 1% 92% 12 Search EIGENVALUE+RATIO Search EIGENVALUE+RATIO
3 LIEB THIRRING INEQUALITIES 413035 3% 53% 21 Search LIEB+THIRRING+INEQUALITIES Search LIEB+THIRRING+INEQUALITIES
4 EIGENVALUE GAP 299714 1% 67% 12 Search EIGENVALUE+GAP Search EIGENVALUE+GAP
5 UNIVERSAL BOUNDS 290664 2% 52% 15 Search UNIVERSAL+BOUNDS Search UNIVERSAL+BOUNDS
6 DOMAIN PERTURBATION 274014 2% 46% 16 Search DOMAIN+PERTURBATION Search DOMAIN+PERTURBATION
7 DIRICHLET LAPLACIAN 258355 2% 34% 20 Search DIRICHLET+LAPLACIAN Search DIRICHLET+LAPLACIAN
8 BEREZIN LI YAU INEQUALITY 224792 1% 100% 6 Search BEREZIN+LI+YAU+INEQUALITY Search BEREZIN+LI+YAU+INEQUALITY
9 HADAMARD FORMULA 224792 1% 100% 6 Search HADAMARD+FORMULA Search HADAMARD+FORMULA
10 HOT SPOTS CONJECTURE 224792 1% 100% 6 Search HOT+SPOTS+CONJECTURE Search HOT+SPOTS+CONJECTURE

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 WANG, QL , XIA, CY , (2011) INEQUALITIES FOR THE NAVIER AND DIRICHLET EIGENVALUES OF ELLIPTIC OPERATORS.PACIFIC JOURNAL OF MATHEMATICS. VOL. 251. ISSUE 1. P. 215 -233 27 100% 1
2 CHEN, DG , CHENG, QM , WANG, QL , XIA, CY , (2012) ON EIGENVALUES OF A SYSTEM OF ELLIPTIC EQUATIONS AND OF THE BIHARMONIC OPERATOR.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 387. ISSUE 2. P. 1146-1159 26 96% 6
3 CHEN, DG , ZHENG, T , YANG, HC , (2016) ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN.PACIFIC JOURNAL OF MATHEMATICS. VOL. 282. ISSUE 2. P. 293 -311 24 96% 0
4 WANG, QL , XIA, CY , (2011) INEQUALITIES FOR EIGENVALUES OF A CLAMPED PLATE PROBLEM.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 40. ISSUE 1-2. P. 273 -289 23 100% 7
5 DU, F , WU, CX , LI, GH , XIA, CY , (2015) UNIVERSAL INEQUALITIES FOR EIGENVALUES OF A SYSTEM OF SUB-ELLIPTIC EQUATIONS ON HEISENBERG GROUP.KODAI MATHEMATICAL JOURNAL. VOL. 38. ISSUE 2. P. 437 -450 22 96% 0
6 SUN, HJ , ZENG, LZ , (2013) UNIVERSAL INEQUALITIES FOR LOWER ORDER EIGENVALUES OF SELF-ADJOINT OPERATORS AND THE POLY-LAPLACIAN.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 29. ISSUE 11. P. 2209-2218 21 100% 2
7 JOST, J , LI-JOST, XQ , WANG, QL , XIA, CY , (2011) UNIVERSAL BOUNDS FOR EIGENVALUES OF THE POLYHARMONIC OPERATORS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 363. ISSUE 4. P. 1821 -1854 21 100% 6
8 XIA, CY , XU, HW , (2014) INEQUALITIES FOR EIGENVALUES OF THE DRIFTING LAPLACIAN ON RIEMANNIAN MANIFOLDS.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 45. ISSUE 3. P. 155-166 18 90% 12
9 BENGURIA, RD , LINDE, H , LOEWE, B , (2012) ISOPERIMETRIC INEQUALITIES FOR EIGENVALUES OF THE LAPLACIAN AND THE SCHRODINGER OPERATOR.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 2. ISSUE 1. P. 1-56 27 66% 7
10 WANG, QL , XIA, CY , (2010) INEQUALITIES FOR EIGENVALUES OF THE BIHARMONIC OPERATOR WITH WEIGHT ON RIEMANNIAN MANIFOLDS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 62. ISSUE 2. P. 597 -622 19 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
2 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
3 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
4 22762 TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION//NANOSTRUCTURED QUANTUM DOTS
5 29291 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY
6 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
7 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
8 23496 PRODUCTS OF ORBITS//FINITE ORBIT FUNCTION TRANSFORM//HEXAGONAL FOURIER SERIES
9 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
10 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING

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