Class information for:
Level 1: TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25247 286 22.3 46%


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
25247 1                   TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS 286

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 TRUDINGER MOSER INEQUALITY authKW 4721092 25% 62% 71
2 MOSER TRUDINGER INEQUALITY authKW 2458521 14% 56% 41
3 BLOWING UP ANALYSIS authKW 1067666 3% 100% 10
4 EXTREMAL FUNCTION authKW 677856 7% 32% 20
5 ADAMS INEQUALITY authKW 665233 3% 69% 9
6 EXPONENTIAL CRITICAL GROWTH authKW 569417 3% 67% 8
7 SINGULAR TRUDINGER MOSER INEQUALITY authKW 533833 2% 100% 5
8 LORENTZ SOBOLEV SPACES authKW 480447 2% 75% 6
9 CRITICAL EXPONENTIAL GROWTH authKW 480441 3% 50% 9
10 N LAPLACIAN authKW 455530 3% 53% 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 12985 91% 0% 259
2 Mathematics, Applied 5038 52% 0% 150
3 Mechanics 0 1% 0% 4
4 Statistics & Probability 0 1% 0% 2
5 Plant Sciences -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 CIENCIAS EXATAS SOCIAIS LICADAS 256233 2% 40% 6
2 ISAS MATH AREA 106767 0% 100% 1
3 MATEMT ESTATIST 106767 0% 100% 1
4 SUPER MATH PLIQUEES INFORMAT KAIROUAN 106767 0% 100% 1
5 DIP MATEMAT F ENRIQUES 71175 1% 33% 2
6 DIP SCI ALTA TECNOL 38821 1% 18% 2
7 RIC MATEMAT E DE GIORGI 35588 0% 33% 1
8 PLICABLE MATH 34855 1% 8% 4
9 DIPARTIMENTO MATEMAT PLICAZ ARCHITETTURA 17789 1% 6% 3
10 DIPARTIMENTO MATEMAT FEDERIGO ENRIQUES 16009 1% 5% 3

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 ADVANCED NONLINEAR STUDIES 21764 4% 2% 11
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 11308 5% 1% 13
3 POTENTIAL ANALYSIS 5212 2% 1% 7
4 ADVANCES IN NONLINEAR ANALYSIS 4142 1% 2% 2
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3887 7% 0% 21
6 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 3697 2% 1% 5
7 JOURNAL OF FUNCTIONAL ANALYSIS 3685 5% 0% 15
8 ANNALI DI MATEMATICA PURA ED APPLICATA 3642 2% 0% 7
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 3343 2% 1% 5
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 2396 2% 0% 6

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 TRUDINGER MOSER INEQUALITY 4721092 25% 62% 71 Search TRUDINGER+MOSER+INEQUALITY Search TRUDINGER+MOSER+INEQUALITY
2 MOSER TRUDINGER INEQUALITY 2458521 14% 56% 41 Search MOSER+TRUDINGER+INEQUALITY Search MOSER+TRUDINGER+INEQUALITY
3 BLOWING UP ANALYSIS 1067666 3% 100% 10 Search BLOWING+UP+ANALYSIS Search BLOWING+UP+ANALYSIS
4 EXTREMAL FUNCTION 677856 7% 32% 20 Search EXTREMAL+FUNCTION Search EXTREMAL+FUNCTION
5 ADAMS INEQUALITY 665233 3% 69% 9 Search ADAMS+INEQUALITY Search ADAMS+INEQUALITY
6 EXPONENTIAL CRITICAL GROWTH 569417 3% 67% 8 Search EXPONENTIAL+CRITICAL+GROWTH Search EXPONENTIAL+CRITICAL+GROWTH
7 SINGULAR TRUDINGER MOSER INEQUALITY 533833 2% 100% 5 Search SINGULAR+TRUDINGER+MOSER+INEQUALITY Search SINGULAR+TRUDINGER+MOSER+INEQUALITY
8 LORENTZ SOBOLEV SPACES 480447 2% 75% 6 Search LORENTZ+SOBOLEV+SPACES Search LORENTZ+SOBOLEV+SPACES
9 CRITICAL EXPONENTIAL GROWTH 480441 3% 50% 9 Search CRITICAL+EXPONENTIAL+GROWTH Search CRITICAL+EXPONENTIAL+GROWTH
10 N LAPLACIAN 455530 3% 53% 8 Search N+LAPLACIAN Search N+LAPLACIAN

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 LAM, N , LU, GZ , (2013) A NEW APPROACH TO SHARP MOSER-TRUDINGER AND ADAMS TYPE INEQUALITIES: A REARRANGEMENT-FREE ARGUMENT.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 3. P. 298-325 32 89% 9
2 LAM, N , (2017) SHARP SUBCRITICAL AND CRITICAL TRUDINGER-MOSER INEQUALITIES ON AND THEIR EXTREMAL FUNCTIONS.POTENTIAL ANALYSIS. VOL. 46. ISSUE 1. P. 75 -103 27 93% 0
3 LU, GZ , TANG, HL , ZHU, MC , (2015) BEST CONSTANTS FOR ADAMS' INEQUALITIES WITH THE EXACT GROWTH CONDITION IN R-N.ADVANCED NONLINEAR STUDIES. VOL. 15. ISSUE 4. P. 763 -788 26 90% 0
4 YANG, YY , (2015) EXTREMAL FUNCTIONS FOR TRUDINGER-MOSER INEQUALITIES OF ADIMURTHI-DRUET TYPE IN DIMENSION TWO.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 258. ISSUE 9. P. 3161 -3193 24 92% 1
5 YANG, YY , (2012) TRUDINGER-MOSER INEQUALITIES ON COMPLETE NONCOMPACT RIEMANNIAN MANIFOLDS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 263. ISSUE 7. P. 1894 -1938 24 92% 8
6 LAM, N , LU, GZ , TANG, HL , (2012) ON NONUNIFORMLY SUBELLIPTIC EQUATIONS OF Q-SUB-LAPLACIAN TYPE WITH CRITICAL GROWTH IN THE HEISENBERG GROUP.ADVANCED NONLINEAR STUDIES. VOL. 12. ISSUE 3. P. 659 -681 24 92% 2
7 LU, GZ , TANG, HL , (2016) SHARP MOSER-TRUDINGER INEQUALITIES ON HYPERBOLIC SPACES WITH EXACT GROWTH CONDITION.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 26. ISSUE 2. P. 837 -857 19 90% 2
8 LAM, N , LU, GZ , (2012) SHARP MOSER-TRUDINGER INEQUALITY ON THE HEISENBERG GROUP AT THE CRITICAL CASE AND APPLICATIONS.ADVANCES IN MATHEMATICS. VOL. 231. ISSUE 6. P. 3259 -3287 28 72% 7
9 LU, GZ , TANG, HL , (2016) SHARP SINGULAR TRUDINGER-MOSER INEQUALITIES IN LORENTZ-SOBOLEV SPACES.ADVANCED NONLINEAR STUDIES. VOL. 16. ISSUE 3. P. 581 -601 22 85% 0
10 DO MARCOS, JO , DE SOUZA, M , (2016) TRUDINGER-MOSER INEQUALITY ON THE WHOLE PLANE AND EXTREMAL FUNCTIONS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 18. ISSUE 5. P. - 20 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 10993 MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS
2 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
3 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
4 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
5 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
6 7600 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
7 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM
8 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
9 1330 STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS
10 5583 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP

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