Class information for:
Level 1: MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10255 1078 20.7 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
1824 2             MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY 6203
10255 1                   MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION 1078

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 MAPPINGS OF FINITE DISTORTION authKW 492593 2% 87% 20
2 GRAND LEBESGUE SPACES authKW 483003 2% 95% 18
3 MAPPING OF FINITE DISTORTION authKW 396541 1% 100% 14
4 A HARMONIC EQUATION authKW 318642 1% 75% 15
5 SOBOLEV MAPPING authKW 226587 1% 67% 12
6 SINGULAR MINIMIZERS authKW 181273 1% 80% 8
7 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI address 176011 5% 12% 54
8 FINITE DISTORTION authKW 173485 1% 88% 7
9 PL MATH MECH address 172220 8% 7% 83
10 DIFFERENTIAL FORMS authKW 169977 4% 15% 41

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 33088 75% 0% 806
2 Mathematics, Applied 12628 43% 0% 464
3 Mechanics 1271 13% 0% 137
4 Engineering, General 277 4% 0% 47
5 Mathematics, Interdisciplinary Applications 17 1% 0% 15
6 Materials Science, Multidisciplinary 14 6% 0% 69
7 Automation & Control Systems 0 1% 0% 6
8 Multidisciplinary Sciences 0 0% 0% 4
9 Physics, Mathematical 0 1% 0% 9
10 International Relations -0 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 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 176011 5% 12% 54
2 PL MATH MECH 172220 8% 7% 83
3 DIPARTIMENTO STAT MATEMAT RIC ECON 140773 1% 38% 13
4 MATH TELEPORT 2 56649 0% 100% 2
5 TELEPORT MATH 2 56649 0% 100% 2
6 KMA 55506 1% 28% 7
7 INFORMAT CONTROL SYST 42472 1% 17% 9
8 MATH ANAL 32628 4% 3% 43
9 A RAZMADZE MATH 1 28324 0% 100% 1
10 BIA IR1268 28324 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 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 52777 4% 4% 45
2 UKRAINIAN MATHEMATICAL JOURNAL 31572 3% 3% 33
3 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 23902 3% 3% 27
4 JOURNAL OF ELASTICITY 19926 3% 2% 33
5 SIBERIAN MATHEMATICAL JOURNAL 18125 4% 1% 44
6 JOURNAL OF INEQUALITIES AND APPLICATIONS 15805 4% 1% 43
7 ADVANCES IN CALCULUS OF VARIATIONS 15077 1% 6% 9
8 RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI 14339 1% 4% 12
9 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 12060 3% 1% 33
10 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 10201 2% 2% 24

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 MAPPINGS OF FINITE DISTORTION 492593 2% 87% 20 Search MAPPINGS+OF+FINITE+DISTORTION Search MAPPINGS+OF+FINITE+DISTORTION
2 GRAND LEBESGUE SPACES 483003 2% 95% 18 Search GRAND+LEBESGUE+SPACES Search GRAND+LEBESGUE+SPACES
3 MAPPING OF FINITE DISTORTION 396541 1% 100% 14 Search MAPPING+OF+FINITE+DISTORTION Search MAPPING+OF+FINITE+DISTORTION
4 A HARMONIC EQUATION 318642 1% 75% 15 Search A+HARMONIC+EQUATION Search A+HARMONIC+EQUATION
5 SOBOLEV MAPPING 226587 1% 67% 12 Search SOBOLEV+MAPPING Search SOBOLEV+MAPPING
6 SINGULAR MINIMIZERS 181273 1% 80% 8 Search SINGULAR+MINIMIZERS Search SINGULAR+MINIMIZERS
7 FINITE DISTORTION 173485 1% 88% 7 Search FINITE+DISTORTION Search FINITE+DISTORTION
8 DIFFERENTIAL FORMS 169977 4% 15% 41 Search DIFFERENTIAL+FORMS Search DIFFERENTIAL+FORMS
9 INCOMPRESSIBLE HYPERELASTIC MATERIAL 169946 1% 100% 6 Search INCOMPRESSIBLE+HYPERELASTIC+MATERIAL Search INCOMPRESSIBLE+HYPERELASTIC+MATERIAL
10 GREENS OPERATOR 163192 1% 52% 11 Search GREENS+OPERATOR Search GREENS+OPERATOR

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 D'ONOFRIO, L , SBORDONE, C , SCHIATTARELLA, R , (2013) GRAND SOBOLEV SPACES AND THEIR APPLICATIONS IN GEOMETRIC FUNCTION THEORY AND PDES.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 13. ISSUE 2. P. 309 -340 48 80% 2
2 KOSKELA, P , (2010) PLANAR MAPPINGS OF FINITE DISTORTION.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 10. ISSUE 2. P. 663-678 38 78% 0
3 NEGRON-MARRERO, PV , SIVALOGANATHAN, J , (2012) A CHARACTERISATION OF THE BOUNDARY DISPLACEMENTS WHICH INDUCE CAVITATION IN AN ELASTIC BODY.JOURNAL OF ELASTICITY. VOL. 109. ISSUE 1. P. 1 -33 32 80% 1
4 FARRONI, F , GIOVA, R , MOSCARIELLO, G , SCHIATTARELLA, R , (2015) HOMEOMORPHISMS OF FINITE INNER DISTORTION: COMPOSITION OPERATORS ON ZYGMUND-SOBOLEV AND LORENTZ-SOBOLEV SPACES.MATHEMATICA SCANDINAVICA. VOL. 116. ISSUE 1. P. 34 -52 23 92% 1
5 CAPONE, C , FORMICA, MR , GIOVA, R , SCHIATTARELLA, R , (2013) ON THE REGULARITY THEORY OF BI-SOBOLEV MAPPINGS.RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI. VOL. 24. ISSUE 4. P. 527 -548 22 100% 3
6 CRISTEA, M , (2016) SOME PROPERTIES OF OPEN, DISCRETE, GENERALIZED RING MAPPINGS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 61. ISSUE 5. P. 623 -643 20 100% 0
7 HENAO, D , MORA-CORRAL, C , (2012) LUSIN'S CONDITION AND THE DISTRIBUTIONAL DETERMINANT FOR DEFORMATIONS WITH FINITE ENERGY.ADVANCES IN CALCULUS OF VARIATIONS. VOL. 5. ISSUE 4. P. 355 -409 23 92% 4
8 CRISTEA, M , (2016) THE LIMIT MAPPING OF GENERALIZED RING HOMEOMORPHISMS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 61. ISSUE 5. P. 608 -622 19 100% 0
9 IWANIEC, T , MARTIN, G , (2008) THE BELTRAMI EQUATION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 191. ISSUE 893. P. 1-+ 33 67% 9
10 IWANIEC, T , ONNINEN, J , (2009) HYPERELASTIC DEFORMATIONS OF SMALLEST TOTAL ENERGY.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 194. ISSUE 3. P. 927 -986 24 89% 4

Classes with closest relation at Level 1


Rank Class id link
1 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
2 6623 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY
3 21425 COMPLEMENTING CONDITION//JOURNAL OF ELASTICITY//CHEMICAL AFFINITY TENSOR
4 19086 HARMONIC MATERIAL//COMPRESSIBLE HYPERELASTICITY//VARGA STRAIN ENERGY
5 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES
6 34794 AIR FLOW MANAGEMENT//AUXILIARY SOLAR POWER SUPPLY//CHOKE AND KILL HOSES
7 34755 STRUCTURAL CELL//MATRIX FILLER DETACHMENT//PARTICULATE RUBBER COMPOSITES
8 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
9 4957 P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION
10 17327 HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS

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