Class information for:
Level 3: MATHEMATICS//MATHEMATICS, APPLIED//MATH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
94 76582 19.9 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
291 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18882
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
1824 2             MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY 6203
2042 2             SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS 5373
2349 2             P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL 4382
2568 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS 3706
3300 2             FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION 1859
3487 2             OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM 1456
3900 2             FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE 830

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 MATHEMATICS WoSSC 2378665 75% 11% 57592
2 MATHEMATICS, APPLIED WoSSC 753571 40% 7% 30305
3 MATH address 659309 35% 7% 26728
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS journal 403337 2% 80% 1273
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS journal 213149 3% 21% 2561
6 VARIATIONAL METHODS authKW 199842 2% 42% 1204
7 P LAPLACIAN authKW 168351 1% 61% 700
8 DIPARTIMENTO MATEMAT address 168319 3% 18% 2441
9 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY journal 157430 1% 67% 593
10 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS journal 148867 1% 56% 676

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 2378665 75% 11% 57592
2 Mathematics, Applied 753571 40% 7% 30305
3 Mechanics 14441 6% 1% 4414
4 Physics, Mathematical 8957 4% 1% 2844
5 Engineering, General 1077 1% 1% 1110
6 Mathematics, Interdisciplinary Applications 1071 1% 1% 1024
7 Multidisciplinary Sciences 304 1% 1% 468
8 Statistics & Probability 131 1% 0% 681
9 Automation & Control Systems 71 1% 0% 471
10 Materials Science, Characterization, Testing 2 0% 0% 133

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 MATH 659309 35% 7% 26728
2 DIPARTIMENTO MATEMAT 168319 3% 18% 2441
3 MATEMAT 136145 4% 11% 3222
4 MATH SCI 105456 6% 6% 4822
5 GEOMETRIA TOPOL 94736 1% 50% 483
6 MATH COMPLEX SYST 70362 0% 50% 359
7 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 55206 0% 55% 256
8 MATH STAT 46112 4% 4% 2981
9 DIPARTIMENTO MATEMAT INFORMAT 27043 1% 14% 497
10 GEOMETRY TOPOL 26926 0% 65% 105

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 403337 2% 80% 1273
2 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 213149 3% 21% 2561
3 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 157430 1% 67% 593
4 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 148867 1% 56% 676
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 111326 3% 12% 2464
6 INDIANA UNIVERSITY MATHEMATICS JOURNAL 107414 1% 34% 806
7 JOURNAL OF DIFFERENTIAL EQUATIONS 105894 2% 19% 1398
8 JOURNAL OF DIFFERENTIAL GEOMETRY 103211 1% 39% 669
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 100332 3% 13% 2087
10 JOURNAL OF GEOMETRIC ANALYSIS 95566 1% 52% 468

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 VARIATIONAL METHODS 199842 2% 42% 1204 Search VARIATIONAL+METHODS Search VARIATIONAL+METHODS
2 P LAPLACIAN 168351 1% 61% 700 Search P+LAPLACIAN Search P+LAPLACIAN
3 SEMILINEAR ELLIPTIC EQUATIONS 104456 0% 77% 341 Search SEMILINEAR+ELLIPTIC+EQUATIONS Search SEMILINEAR+ELLIPTIC+EQUATIONS
4 MOUNTAIN PASS THEOREM 101694 0% 79% 324 Search MOUNTAIN+PASS+THEOREM Search MOUNTAIN+PASS+THEOREM
5 HARMONIC MAPS 99244 0% 73% 341 Search HARMONIC+MAPS Search HARMONIC+MAPS
6 GAMMA CONVERGENCE 98036 0% 68% 363 Search GAMMA+CONVERGENCE Search GAMMA+CONVERGENCE
7 CRITICAL SOBOLEV EXPONENT 96310 0% 94% 257 Search CRITICAL+SOBOLEV+EXPONENT Search CRITICAL+SOBOLEV+EXPONENT
8 VARIABLE EXPONENT 95790 0% 88% 275 Search VARIABLE+EXPONENT Search VARIABLE+EXPONENT
9 MAXIMAL OPERATOR 95697 0% 93% 259 Search MAXIMAL+OPERATOR Search MAXIMAL+OPERATOR
10 MAXIMAL FUNCTION 95251 0% 84% 285 Search MAXIMAL+FUNCTION Search MAXIMAL+FUNCTION

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 DIENING, L , HARJULEHTO, P , HASTO, P , RUZICKA, M , (2011) LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS.LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS. VOL. 2017. ISSUE . P. 1 -+ 218 96% 301
2 HARJULEHTO, P , HASTO, P , LE, UV , NUORTIO, M , (2010) OVERVIEW OF DIFFERENTIAL EQUATIONS WITH NON-STANDARD GROWTH.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 72. ISSUE 12. P. 4551 -4574 130 97% 135
3 GAZZOLA, F , GRUNAU, HC , SWEERS, G , (2010) MODELS OF HIGHER ORDER.POLYHARMONIC BOUNDARY VALUE PROBLEMS. VOL. 1991. ISSUE . P. 1 -+ 157 86% 1
4 EELLS, J , LEMAIRE, L , (1988) ANOTHER REPORT ON HARMONIC MAPS.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 20. ISSUE . P. 385 -524 232 88% 281
5 TARANTELLO, G , (2009) ON SOME ELLIPTIC PROBLEMS IN THE STUDY OF SELFDUAL CHERN-SIMONS VORTICES.GEOMETRIC ANALYSIS AND PDES. VOL. 1977. ISSUE . P. 117 -175 120 92% 1
6 MEEKS, WH , PEREZ, J , (2011) THE CLASSICAL THEORY OF MINIMAL SURFACES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 3. P. 325-407 98 97% 15
7 BARONI, P , COLOMBO, M , MINGIONE, G , (2016) NON-AUTONOMOUS FUNCTIONALS, BORDERLINE CASES AND RELATED FUNCTION CLASSES.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 27. ISSUE 3. P. 347 -379 50 96% 13
8 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 87 98% 23
9 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 71 91% 31
10 KUUSI, T , MINGIONE, G , (2016) NONLINEAR POTENTIAL THEORY OF ELLIPTIC SYSTEMS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 138. ISSUE . P. 277 -299 70 100% 1

Classes with closest relation at Level 3


Rank Class id link
1 244 MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP
2 460 POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS
3 549 MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE
4 281 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
5 383 STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS
6 688 CONVEX BODY//STEREOLOGY//STAR BODY
7 249 MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH
8 664 MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS
9 568 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
10 437 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS

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